Search a number
-
+
132033302111300 = 225217360712573283
BaseRepresentation
bin11110000001010101100110…
…000100100010010001000100
3122022111021000211122200020112
4132001111212010202101010
5114301213200320030200
61144451132302452152
736545043211403162
oct3601254604422104
9568437024580215
10132033302111300
1139085010a39147
1212984b31894058
1358898c1352955
142486635862232
15103e75101d535
hex781566122444

132033302111300 has 72 divisors (see below), whose sum is σ = 288643170821376. Its totient is φ = 52421533176960.

The previous prime is 132033302111257. The next prime is 132033302111407. The reversal of 132033302111300 is 3111203330231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4214459 + ... + 16787741.

Almost surely, 2132033302111300 is an apocalyptic number.

132033302111300 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 132033302111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144321585410688).

132033302111300 is an abundant number, since it is smaller than the sum of its proper divisors (156609868710076).

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

132033302111300 is a wasteful number, since it uses less digits than its factorization.

132033302111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12574077 (or 12574070 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132033302111300 its reverse (3111203330231), we get a palindrome (135144505441531).

The spelling of 132033302111300 in words is "one hundred thirty-two trillion, thirty-three billion, three hundred two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 607 692 865 1214 1730 2428 3035 3460 4325 6070 8650 12140 15175 17300 30350 60700 105011 210022 420044 525055 1050110 2100220 2625275 5250550 10501100 12573283 25146566 50293132 62866415 125732830 251465660 314332075 628664150 1257328300 2175177959 4350355918 7631982781 8700711836 10875889795 15263965562 21751779590 30527931124 38159913905 43503559180 54379448975 76319827810 108758897950 152639655620 190799569525 217517795900 381599139050 763198278100 1320333021113 2640666042226 5281332084452 6601665105565 13203330211130 26406660422260 33008325527825 66016651055650 132033302111300