Search a number
-
+
132323002312300 = 225229412714106617
BaseRepresentation
bin11110000101100011011001…
…100011000110011001101100
3122100111221210112200200221121
4132011203121203012121230
5114320440002042443200
61145232203103310324
736605010231442162
oct3605433143063154
9570457715620847
10132323002312300
1139186963173a68
1212a111018ab3a4
1358ab00c336927
142496678ac1232
15104705934ee1a
hex7858d98c666c

132323002312300 has 144 divisors (see below), whose sum is σ = 305410166248320. Its totient is φ = 49673627136000.

The previous prime is 132323002312289. The next prime is 132323002312301. The reversal of 132323002312300 is 3213200323231.

It is a super-2 number, since 2×1323230023123002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132323002312301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30168592 + ... + 34275208.

It is an arithmetic number, because the mean of its divisors is an integer number (2120903932280).

Almost surely, 2132323002312300 is an apocalyptic number.

132323002312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323002312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152705083124160).

132323002312300 is an abundant number, since it is smaller than the sum of its proper divisors (173087163936020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132323002312300 is a wasteful number, since it uses less digits than its factorization.

132323002312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106972 (or 4106965 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 132323002312300 its reverse (3213200323231), we get a palindrome (135536202635531).

The spelling of 132323002312300 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 271 290 410 542 580 725 820 1025 1084 1189 1355 1450 2050 2378 2710 2900 4100 4756 5420 5945 6775 7859 11111 11890 13550 15718 22222 23780 27100 29725 31436 39295 44444 55555 59450 78590 111110 118900 157180 196475 222220 277775 322219 392950 555550 644438 785900 1111100 1288876 1611095 3222190 4106617 6444380 8055475 8213234 16110950 16426468 20533085 32221900 41066170 82132340 102665425 119091893 168371297 205330850 238183786 336742594 410661700 476367572 595459465 673485188 841856485 1112893207 1190918930 1683712970 2225786414 2381837860 2977297325 3367425940 4209282425 4451572828 4882767613 5564466035 5954594650 8418564850 9765535226 11128932070 11909189300 16837129700 19531070452 22257864140 24413838065 27822330175 32273903003 45628621487 48827676130 55644660350 64547806006 91257242974 97655352260 111289320700 122069190325 129095612012 161369515015 182514485948 228143107435 244138380650 322739030030 456286214870 488276761300 645478060060 806847575075 912572429740 1140715537175 1323230023123 1613695150150 2281431074350 2646460046246 3227390300300 4562862148700 5292920092492 6616150115615 13232300231230 26464600462460 33080750578075 66161501156150 132323002312300