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102200022221001 = 3419541422935537
BaseRepresentation
bin10111001111001101001100…
…000001010100000011001001
3111101212020010021021000020020
4113033031030001110003021
5101343421121142033001
61001210013030051053
730345464552363505
oct2717151401240311
9441766107230206
10102200022221001
112a622871216121
12b5670707a9a89
1345045614a97b3
141b347166c9305
15bc36ccb60736
hex5cf34c0540c9

102200022221001 has 32 divisors (see below), whose sum is σ = 136880605814400. Its totient is φ = 67827148139520.

The previous prime is 102200022220987. The next prime is 102200022221057. The reversal of 102200022221001 is 100122220002201.

It is not a de Polignac number, because 102200022221001 - 29 = 102200022220489 is a prime.

It is a super-3 number, since 3×1022000222210013 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102200022228001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875858705 + ... + 2875894241.

It is an arithmetic number, because the mean of its divisors is an integer number (4277518931700).

Almost surely, 2102200022221001 is an apocalyptic number.

It is an amenable number.

102200022221001 is a deficient number, since it is larger than the sum of its proper divisors (34680583593399).

102200022221001 is a wasteful number, since it uses less digits than its factorization.

102200022221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40729.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200022221001 its reverse (100122220002201), we get a palindrome (202322242223202).

The spelling of 102200022221001 in words is "one hundred two trillion, two hundred billion, twenty-two million, two hundred twenty-one thousand, one".

Divisors: 1 3 419 541 1257 1623 4229 12687 35537 106611 226679 680037 1771951 2287889 5315853 6863667 14890003 19225517 44670009 57676551 150285973 450857919 958625491 2875876473 8055491623 24166474869 62969822687 81304711393 188909468061 243914134179 34066674073667 102200022221001