Search a number
-
+
201021122012022 = 23413379251851253
BaseRepresentation
bin101101101101001111100000…
…100100011110001101110110
3222100202102122121211212110000
4231231033200210132031312
5202322012224213341042
61551311454550012130
760225203541232524
oct5555174044361566
9870672577755400
10201021122012022
1159062640847524
121a6672a7047046
13882229751c190
14378d68d381314
151839049d0474c
hexb6d3e091e376

201021122012022 has 80 divisors (see below), whose sum is σ = 486365067674640. Its totient is φ = 61689453069888.

The previous prime is 201021122011999. The next prime is 201021122012069. The reversal of 201021122012022 is 220210221120102.

It is a happy number.

201021122012022 is a `hidden beast` number, since 20 + 10 + 211 + 220 + 1 + 202 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201021122011986 and 201021122012004.

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, 125127453 + ... + 126723800.

It is an arithmetic number, because the mean of its divisors is an integer number (6079563345933).

Almost surely, 2201021122012022 is an apocalyptic number.

201021122012022 is an abundant number, since it is smaller than the sum of its proper divisors (285343945662618).

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

201021122012022 is a wasteful number, since it uses less digits than its factorization.

201021122012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251851659 (or 251851650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201021122012022 its reverse (220210221120102), we get a palindrome (421231343132124).

The spelling of 201021122012022 in words is "two hundred one trillion, twenty-one billion, one hundred twenty-two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 379 702 758 1053 1137 2106 2274 3411 4927 6822 9854 10233 14781 20466 29562 30699 44343 61398 88686 133029 266058 399087 798174 251851253 503702506 755553759 1511107518 2266661277 3274066289 4533322554 6548132578 6799983831 9822198867 13599967662 19644397734 20399951493 29466596601 40799902986 58933193202 88399789803 95451624887 176799579606 190903249774 265199369409 286354874661 530398738818 572709749322 859064623983 1240871123531 1718129247966 2481742247062 2577193871949 3722613370593 5154387743898 7445226741186 7731581615847 11167840111779 15463163231694 22335680223558 33503520335337 67007040670674 100510561006011 201021122012022