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102411222141123 = 3371937770779969
BaseRepresentation
bin10111010010010001111000…
…100001000100100011000011
3111102121102021011011120211000
4113102101320201010203003
5101410401140332003443
61001451022125223043
730366652361156040
oct2722217041044303
9442542234146730
10102411222141123
112a6a43a0053055
12b59bb93101a83
13451b44bc8012c
141b40a3003c1c7
15bc8e3e4b48d3
hex5d24788448c3

102411222141123 has 64 divisors (see below), whose sum is σ = 187453688704000. Its totient is φ = 53942265280512.

The previous prime is 102411222141113. The next prime is 102411222141143. The reversal of 102411222141123 is 321141222114201.

102411222141123 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 1 + 2 + 221 + 411 + 23 = 666.

It is not a de Polignac number, because 102411222141123 - 28 = 102411222140867 is a prime.

It is a super-2 number, since 2×1024112221411232 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102411222141103) 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 63 ways as a sum of consecutive naturals, for example, 385257118 + ... + 385522851.

It is an arithmetic number, because the mean of its divisors is an integer number (2928963886000).

Almost surely, 2102411222141123 is an apocalyptic number.

102411222141123 is a deficient number, since it is larger than the sum of its proper divisors (85042466562877).

102411222141123 is a wasteful number, since it uses less digits than its factorization.

102411222141123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770780041 (or 770780035 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 102411222141123 its reverse (321141222114201), we get a palindrome (423552444255324).

The spelling of 102411222141123 in words is "one hundred two trillion, four hundred eleven billion, two hundred twenty-two million, one hundred forty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 19 21 27 37 57 63 111 133 171 189 259 333 399 513 703 777 999 1197 2109 2331 3591 4921 6327 6993 14763 18981 44289 132867 770779969 2312339907 5395459783 6937019721 14644819411 16186379349 20811059163 28518858853 43934458233 48559138047 85556576559 102513735877 131803374699 145677414141 199632011971 256669729677 307541207631 395410124097 541858318207 598896035913 770009189031 922623622893 1625574954621 1796688107739 2767870868679 3793008227449 4876724863863 5390064323217 11379024682347 14630174591589 34137074047041 102411222141123