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102022001101431 = 32199229324842437
BaseRepresentation
bin10111001100100111011001…
…001000101000101001110111
3111101020012121200010010121100
4113030213121020220221313
5101333012024240221211
61000552132115421143
730326563203004215
oct2714473110505167
9441205550103540
10102022001101431
112a564318a06114
12b5386698b47b3
1344c0830826718
141b29c6964bcb5
15bbdc5e047156
hex5cc9d9228a77

102022001101431 has 24 divisors (see below), whose sum is σ = 148170237207200. Its totient is φ = 67643369614656.

The previous prime is 102022001101417. The next prime is 102022001101451. The reversal of 102022001101431 is 134101100220201.

102022001101431 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 220 + 0 + 1 + 10 + 1 + 431 = 666.

It is not a de Polignac number, because 102022001101431 - 221 = 102021999004279 is a prime.

It is a super-2 number, since 2×1020220011014312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022001101451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8314456 + ... + 16527981.

Almost surely, 2102022001101431 is an apocalyptic number.

102022001101431 is a deficient number, since it is larger than the sum of its proper divisors (46148236105769).

102022001101431 is a wasteful number, since it uses less digits than its factorization.

102022001101431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24844935 (or 24844932 counting only the distinct ones).

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

Adding to 102022001101431 its reverse (134101100220201), we get a palindrome (236123101321632).

The spelling of 102022001101431 in words is "one hundred two trillion, twenty-two billion, one million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 199 597 1791 2293 6879 20637 456307 1368921 4106763 24842437 74527311 223581933 4943644963 14830934889 44492804667 56963708041 170891124123 512673372369 11335777900159 34007333700477 102022001101431