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201023131200332 = 227671027310430759
BaseRepresentation
bin101101101101010001011000…
…010100111010101101001100
3222100202121211122111012122212
4231231101120110322231030
5202322030333041402312
61551312430201525552
760225304406113430
oct5555213024725514
9870677748435585
10201023131200332
115906348199a431
121a667767aa38b8
1388225278627bc
14378d80014c9c0
1518391163ce822
hexb6d45853ab4c

201023131200332 has 48 divisors (see below), whose sum is σ = 408086712337920. Its totient is φ = 84858638971392.

The previous prime is 201023131200301. The next prime is 201023131200373. The reversal of 201023131200332 is 233002131320102.

201023131200332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201023131200298 and 201023131200307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14056769 + ... + 24487527.

It is an arithmetic number, because the mean of its divisors is an integer number (8501806507040).

Almost surely, 2201023131200332 is an apocalyptic number.

It is an amenable number.

201023131200332 is an abundant number, since it is smaller than the sum of its proper divisors (207063581137588).

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

201023131200332 is a wasteful number, since it uses less digits than its factorization.

201023131200332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441110 (or 10441108 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 201023131200332 its reverse (233002131320102), we get a palindrome (434025262520434).

The spelling of 201023131200332 in words is "two hundred one trillion, twenty-three billion, one hundred thirty-one million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 67 134 268 469 938 1876 10273 20546 41092 71911 143822 287644 688291 1376582 2753164 4818037 9636074 10430759 19272148 20861518 41723036 73015313 146030626 292061252 698860853 1397721706 2795443412 4892025971 9784051942 19568103884 107155187207 214310374414 428620748828 750086310449 1500172620898 3000345241796 7179397542869 14358795085738 28717590171476 50255782800083 100511565600166 201023131200332