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102132203203331 = 7218121115022939
BaseRepresentation
bin10111001110001110000001…
…101100010010101100000011
3111101121202001211210221122222
4113032032001230102230003
5101341313223010001311
61001114515245121255
730340544130265100
oct2716160154225403
9441552054727588
10102132203203331
112a5a702a144394
12b555aa425922b
1344cb043b65542
141b313215ddaa7
15bc1a5dc61adb
hex5ce381b12b03

102132203203331 has 12 divisors (see below), whose sum is σ = 118813405964760. Its totient is φ = 87537056735520.

The previous prime is 102132203203319. The next prime is 102132203203339. The reversal of 102132203203331 is 133302302231201.

It is not a de Polignac number, because 102132203203331 - 226 = 102132136094467 is a prime.

It is a super-2 number, since 2×1021322032033312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102132203203331.

It is not an unprimeable number, because it can be changed into a prime (102132203203339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56623541 + ... + 58399398.

It is an arithmetic number, because the mean of its divisors is an integer number (9901117163730).

Almost surely, 2102132203203331 is an apocalyptic number.

102132203203331 is a deficient number, since it is larger than the sum of its proper divisors (16681202761429).

102132203203331 is a wasteful number, since it uses less digits than its factorization.

102132203203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115041074 (or 115041067 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 102132203203331 its reverse (133302302231201), we get a palindrome (235434505434532).

The spelling of 102132203203331 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 7 49 18121 126847 887929 115022939 805160573 5636124011 2084330677619 14590314743333 102132203203331