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201302088920892 = 223418131310966811
BaseRepresentation
bin101101110001010101001011…
…100000001010111100111100
3222101202021212200122200120000
4231301111023200022330330
5202341113134230432032
61552044523013554300
760254411264450451
oct5561251340127474
9871667780580500
10201302088920892
1159160811296743
121a6b183a345990
13884292309538b
14379d1047b3828
1518414e158de7c
hexb7154b80af3c

201302088920892 has 120 divisors (see below), whose sum is σ = 530841472233072. Its totient is φ = 66516773356800.

The previous prime is 201302088920851. The next prime is 201302088920951. The reversal of 201302088920892 is 298029880203102.

201302088920892 is a `hidden beast` number, since 20 + 130 + 208 + 89 + 208 + 9 + 2 = 666.

201302088920892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12872167 + ... + 23838977.

Almost surely, 2201302088920892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201302088920892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265420736116536).

201302088920892 is an abundant number, since it is smaller than the sum of its proper divisors (329539383312180).

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

201302088920892 is a wasteful number, since it uses less digits than its factorization.

201302088920892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10967321 (or 10967310 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 201302088920892 in words is "two hundred one trillion, three hundred two billion, eighty-eight million, nine hundred twenty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 313 324 362 543 626 724 939 1086 1252 1629 1878 2172 2817 3258 3756 4887 5634 6516 8451 9774 11268 14661 16902 19548 25353 29322 33804 50706 56653 58644 101412 113306 169959 226612 339918 509877 679836 1019754 1529631 2039508 3059262 4588893 6118524 9177786 10966811 18355572 21933622 32900433 43867244 65800866 98701299 131601732 197402598 296103897 394805196 592207794 888311691 1184415588 1776623382 1984992791 3432611843 3553246764 3969985582 5954978373 6865223686 7939971164 10297835529 11909956746 13730447372 17864935119 20595671058 23819913492 30893506587 35729870238 41191342116 53594805357 61787013174 71459740476 92680519761 107189610714 123574026348 160784416071 185361039522 214379221428 278041559283 321568832142 370722079044 556083118566 621302743583 643137664284 1112166237132 1242605487166 1863908230749 2485210974332 3727816461498 5591724692247 7455632922996 11183449384494 16775174076741 22366898768988 33550348153482 50325522230223 67100696306964 100651044460446 201302088920892