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102233133021 = 32329477314891
BaseRepresentation
bin101111100110110010…
…0011100111111011101
3100202212210200020212010
41133031210130333131
53133333140224041
6114544254501433
710246301202255
oct1371544347735
9322783606763
10102233133021
113a3a1a35a88
1217991804879
139843372126
144d3b884965
1529d52eda16
hex17cd91cfdd

102233133021 has 64 divisors (see below), whose sum is σ = 152341585920. Its totient is φ = 60756917760.

The previous prime is 102233133017. The next prime is 102233133097. The reversal of 102233133021 is 120331332201.

It is not a de Polignac number, because 102233133021 - 22 = 102233133017 is a prime.

It is a super-2 number, since 2×1022331330212 (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 (102233133001) 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, 6857986 + ... + 6872876.

It is an arithmetic number, because the mean of its divisors is an integer number (2380337280).

Almost surely, 2102233133021 is an apocalyptic number.

It is an amenable number.

102233133021 is a deficient number, since it is larger than the sum of its proper divisors (50108452899).

102233133021 is a wasteful number, since it uses less digits than its factorization.

102233133021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15066.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102233133021 its reverse (120331332201), we get a palindrome (222564465222).

The spelling of 102233133021 in words is "one hundred two billion, two hundred thirty-three million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 23 29 47 69 73 87 141 219 667 1081 1363 1679 2001 2117 3243 3431 4089 5037 6351 10293 14891 31349 44673 48691 78913 94047 99499 146073 236739 298497 342493 431839 699877 1027479 1087043 1295517 2099631 2288477 3261129 6865431 9932297 16097171 20296433 25001989 29796891 31524247 48291513 51091021 60889299 75005967 94572741 153273063 466817959 725057681 1175093483 1400453877 1481639609 2175173043 3525280449 4444918827 34077711007 102233133021