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102021211431 = 3247433653853
BaseRepresentation
bin101111100000011110…
…0000010010100100111
3100202100000220112002100
41133000330002110213
53132414412231211
6114511244343143
710241115663126
oct1370074022447
9322300815070
10102021211431
113a2a3350177
1217932844ab3
13980b4a2739
144d1b67babd
1529c18dc156
hex17c0f02527

102021211431 has 48 divisors (see below), whose sum is σ = 151255069056. Its totient is φ = 66233852928.

The previous prime is 102021211429. The next prime is 102021211469. The reversal of 102021211431 is 134112120201.

102021211431 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 21 + 211 + 431 = 666.

It is not a de Polignac number, because 102021211431 - 21 = 102021211429 is a prime.

It is a super-2 number, since 2×1020212114312 (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 (102021211231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 119602401 + ... + 119603253.

It is an arithmetic number, because the mean of its divisors is an integer number (3151147272).

Almost surely, 2102021211431 is an apocalyptic number.

102021211431 is a deficient number, since it is larger than the sum of its proper divisors (49233857625).

102021211431 is a wasteful number, since it uses less digits than its factorization.

102021211431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102021211431 its reverse (134112120201), we get a palindrome (236133331632).

The spelling of 102021211431 in words is "one hundred two billion, twenty-one million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 47 141 423 433 653 853 1299 1959 2559 3897 5877 7677 20351 30691 40091 61053 92073 120273 183159 276219 282749 360819 369349 557009 848247 1108047 1671027 2544741 3324141 5013081 13289203 17359403 26179423 39867609 52078209 78538269 119602827 156234627 235614807 241184897 723554691 2170664073 11335690159 34007070477 102021211431