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202110031002114 = 233291069122398717
BaseRepresentation
bin101101111101000101101000…
…100110100111101000000010
3222111121112022120012221211000
4231331011220212213220002
5202442332320414031424
61553504022204432430
760366652660024314
oct5575055046475002
9874545276187730
10202110031002114
1159442423559624
121a802340548716
1388a0b815862a1
1437ca26b8477b4
15185752bc3a3c9
hexb7d1689a7a02

202110031002114 has 128 divisors (see below), whose sum is σ = 465440364864000. Its totient is φ = 64932263794944.

The previous prime is 202110031002101. The next prime is 202110031002151. The reversal of 202110031002114 is 411200130011202.

202110031002114 is a `hidden beast` number, since 20 + 21 + 100 + 310 + 0 + 211 + 4 = 666.

It is a super-2 number, since 2×2021100310021142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2047318684 + ... + 2047417400.

It is an arithmetic number, because the mean of its divisors is an integer number (3636252850500).

Almost surely, 2202110031002114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202110031002114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232720182432000).

202110031002114 is an abundant number, since it is smaller than the sum of its proper divisors (263330333861886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202110031002114 is a wasteful number, since it uses less digits than its factorization.

202110031002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101049 (or 101043 counting only the distinct ones).

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

Adding to 202110031002114 its reverse (411200130011202), we get a palindrome (613310161013316).

The spelling of 202110031002114 in words is "two hundred two trillion, one hundred ten billion, thirty-one million, two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1069 1223 1566 2138 2446 3207 3669 6414 7338 9621 11007 19242 22014 28863 31001 33021 35467 57726 62002 66042 70934 93003 98717 106401 186006 197434 212802 279009 296151 319203 558018 592302 638406 837027 888453 957609 1307387 1674054 1776906 1915218 2614774 2665359 2862793 3922161 5330718 5725586 7844322 8588379 11766483 17176758 23532966 25765137 35299449 37914223 51530274 70598898 75828446 77295411 105528473 113742669 120730891 154590822 211056946 227485338 241461782 316585419 341228007 362192673 633170838 682456014 724385346 949756257 1023684021 1086578019 1899512514 2047368042 2173156038 2849268771 3060325717 3259734057 3501195839 5698537542 6120651434 6519468114 7002391678 9180977151 10503587517 18361954302 21007175034 27542931453 31510762551 55085862906 63021525102 82628794359 94532287653 129061322479 165257588718 189064575306 258122644958 387183967437 774367934874 1161551902311 2323103804622 3484655706933 3742778351891 6969311413866 7485556703782 11228335055673 22456670111346 33685005167019 67370010334038 101055015501057 202110031002114