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132010001310 = 235111077395059
BaseRepresentation
bin111101011110001101…
…0001100001110011110
3110121202000002220001210
41322330122030032132
54130324030020220
6140351120245250
712352221332325
oct1727432141636
9417660086053
10132010001310
1150a92227940
1221701a70826
13c5aa441215
1465644090bc
15367954e6e0
hex1ebc68c39e

132010001310 has 128 divisors (see below), whose sum is σ = 349397452800. Its totient is φ = 31654177920.

The previous prime is 132010001297. The next prime is 132010001317. The reversal of 132010001310 is 13100010231.

It is a super-2 number, since 2×1320100013102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132010001317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26091561 + ... + 26096619.

It is an arithmetic number, because the mean of its divisors is an integer number (2729667600).

Almost surely, 2132010001310 is an apocalyptic number.

132010001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010001310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174698726400).

132010001310 is an abundant number, since it is smaller than the sum of its proper divisors (217387451490).

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

132010001310 is a wasteful number, since it uses less digits than its factorization.

132010001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 132010001310 its reverse (13100010231), we get a palindrome (145110011541).

The spelling of 132010001310 in words is "one hundred thirty-two billion, ten million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 642 739 1070 1177 1478 1605 2217 2354 3210 3531 3695 4434 5059 5885 7062 7390 8129 10118 11085 11770 15177 16258 17655 22170 24387 25295 30354 35310 40645 48774 50590 55649 75885 79073 81290 111298 121935 151770 158146 166947 237219 243870 278245 333894 395365 474438 541313 556490 790730 834735 869803 1082626 1186095 1623939 1669470 1739606 2372190 2609409 2706565 3247878 3738601 4349015 5218818 5413130 5954443 7477202 8119695 8698030 11215803 11908886 13047045 16239390 17863329 18693005 22431606 26094090 29772215 35726658 37386010 41124611 56079015 59544430 82249222 89316645 112158030 123373833 178633290 205623055 246747666 400030307 411246110 616869165 800060614 1200090921 1233738330 2000151535 2400181842 4000303070 4400333377 6000454605 8800666754 12000909210 13201000131 22001666885 26402000262 44003333770 66005000655 132010001310