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202520232012 = 2237101149160207
BaseRepresentation
bin1011110010011100100…
…1011000000001001100
3201100201222112201212210
42330213021120001030
511304230134411022
6233011515230420
720426432366130
oct2744711300114
9640658481783
10202520232012
117898543387a
12332bb748410
13161364b3517
149b32abb3c0
155404849a0c
hex2f2725804c

202520232012 has 96 divisors (see below), whose sum is σ = 549064857600. Its totient is φ = 56905171200.

The previous prime is 202520231987. The next prime is 202520232037. The reversal of 202520232012 is 210232025202.

It is an interprime number because it is at equal distance from previous prime (202520231987) and next prime (202520232037).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 202520232012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184013 + ... + 1344219.

It is an arithmetic number, because the mean of its divisors is an integer number (5719425600).

Almost surely, 2202520232012 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 202520232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274532428800).

202520232012 is an abundant number, since it is smaller than the sum of its proper divisors (346544625588).

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

202520232012 is a wasteful number, since it uses less digits than its factorization.

202520232012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160471 (or 160469 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 202520232012 its reverse (210232025202), we get a palindrome (412752257214).

The spelling of 202520232012 in words is "two hundred two billion, five hundred twenty million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 149 202 298 303 404 447 596 606 707 894 1043 1212 1414 1788 2086 2121 2828 3129 4172 4242 6258 8484 12516 15049 30098 45147 60196 90294 105343 160207 180588 210686 316029 320414 421372 480621 632058 640828 961242 1121449 1264116 1922484 2242898 3364347 4485796 6728694 13457388 16180907 23870843 32361814 47741686 48542721 64723628 71612529 95483372 97085442 113266349 143225058 167095901 194170884 226532698 286450116 334191802 339799047 453065396 501287703 668383604 679598094 1002575406 1359196188 2005150812 2410955143 4821910286 7232865429 9643820572 14465730858 16876686001 28931461716 33753372002 50630058003 67506744004 101260116006 202520232012