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201012202220200 = 23527241159552113
BaseRepresentation
bin101101101101000111001100…
…111010001010101010101000
3222100201120121222200111100221
4231231013030322022222220
5202321340442232021300
61551303421511535424
760224436521242540
oct5555071472125250
9870646558614327
10201012202220200
1159059883859948
121a66561798a574
1388214a5572c57
14378d084888320
151838bc6bbd31a
hexb6d1cce8aaa8

201012202220200 has 96 divisors (see below), whose sum is σ = 534339680160960. Its totient is φ = 68889883161600.

The previous prime is 201012202220183. The next prime is 201012202220201. The reversal of 201012202220200 is 2022202210102.

201012202220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201012202220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26400657 + ... + 33151456.

It is an arithmetic number, because the mean of its divisors is an integer number (5566038335010).

Almost surely, 2201012202220200 is an apocalyptic number.

201012202220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012202220200 is an abundant number, since it is smaller than the sum of its proper divisors (333327477940760).

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

201012202220200 is a wasteful number, since it uses less digits than its factorization.

201012202220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59554547 (or 59554538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201012202220200 its reverse (2022202210102), we get a palindrome (203034404430302).

The spelling of 201012202220200 in words is "two hundred one trillion, twelve billion, two hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2411 4822 9644 12055 16877 19288 24110 33754 48220 60275 67508 84385 96440 120550 135016 168770 241100 337540 421925 482200 675080 843850 1687700 3375400 59552113 119104226 238208452 297760565 416864791 476416904 595521130 833729582 1191042260 1488802825 1667459164 2084323955 2382084520 2977605650 3334918328 4168647910 5955211300 8337295820 10421619775 11910422600 16674591640 20843239550 41686479100 83372958200 143580144443 287160288886 574320577772 717900722215 1005061011101 1148641155544 1435801444430 2010122022202 2871602888860 3589503611075 4020244044404 5025305055505 5743205777720 7179007222150 8040488088808 10050610111010 14358014444300 20101220222020 25126525277525 28716028888600 40202440444040 50253050555050 100506101110100 201012202220200