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102022100001 = 32157280325759
BaseRepresentation
bin101111100000011111…
…1011011010000100001
3100202100002120122222100
41133000333123100201
53132420124200001
6114511315401013
710241126353533
oct1370077332041
9322302518870
10102022100001
113a2a38a7828
1217932bb3169
13980b724013
144d1b82d853
1529c1a15586
hex17c0fdb421

102022100001 has 24 divisors (see below), whose sum is σ = 148362556160. Its totient is φ = 67554785376.

The previous prime is 102022099987. The next prime is 102022100003. The reversal of 102022100001 is 100001220201.

It is not a de Polignac number, because 102022100001 - 25 = 102022099969 is a prime.

It is a super-2 number, since 2×1020221000012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102022100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3947760 + ... + 3973518.

Almost surely, 2102022100001 is an apocalyptic number.

It is an amenable number.

102022100001 is a deficient number, since it is larger than the sum of its proper divisors (46340456159).

102022100001 is a wasteful number, since it uses less digits than its factorization.

102022100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28725 (or 28722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102022100001 its reverse (100001220201), we get a palindrome (202023320202).

The spelling of 102022100001 in words is "one hundred two billion, twenty-two million, one hundred thousand, one".

Divisors: 1 3 9 157 471 1413 2803 8409 25227 25759 77277 231831 440071 1320213 3960639 4044163 12132489 36397467 72202477 216607431 649822293 11335788889 34007366667 102022100001