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102231021321 = 33111368338767
BaseRepresentation
bin101111100110101110…
…0011001011100001001
3100202212122200222011000
41133031130121130021
53133332120140241
6114544141325213
710246244225562
oct1371534313411
9322778628130
10102231021321
113a3a0823480
1217990b66809
139842ab2bc0
144d3b495169
1529d5032eb6
hex17cd719709

102231021321 has 64 divisors (see below), whose sum is σ = 178196336640. Its totient is φ = 57106969920.

The previous prime is 102231021317. The next prime is 102231021331. The reversal of 102231021321 is 123120132201.

102231021321 is a `hidden beast` number, since 10 + 2 + 2 + 310 + 21 + 321 = 666.

It is not a de Polignac number, because 102231021321 - 22 = 102231021317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102231021294 and 102231021303.

It is not an unprimeable number, because it can be changed into a prime (102231021331) 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, 2617680 + ... + 2656446.

It is an arithmetic number, because the mean of its divisors is an integer number (2784317760).

Almost surely, 2102231021321 is an apocalyptic number.

102231021321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102231021321 is a deficient number, since it is larger than the sum of its proper divisors (75965315319).

102231021321 is a wasteful number, since it uses less digits than its factorization.

102231021321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39483 (or 39477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102231021321 its reverse (123120132201), we get a palindrome (225351153522).

The spelling of 102231021321 in words is "one hundred two billion, two hundred thirty-one million, twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 683 1287 2049 3861 6147 7513 8879 18441 22539 26637 38767 67617 79911 97669 116301 202851 239733 293007 348903 426437 503971 879021 1046709 1279311 1511913 2637063 3837933 4535739 5543681 11513799 13607217 16631043 26477861 49893129 79433583 149679387 238300749 291256471 344212193 714902247 873769413 1032636579 2621308239 3097909737 3786334123 7863924717 9293729211 11359002369 34077007107 102231021321