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33131044122 = 2311249991453
BaseRepresentation
bin11110110110110000…
…111001110100011010
310011111221220102110020
4132312300321310122
51020323021402442
623115321131310
72252006141241
oct366660716432
9104457812406
1033131044122
1113061679900
126507629b36
13317cc6c427
141864203958
15cdd9559ec
hex7b6c39d1a

33131044122 has 48 divisors (see below), whose sum is σ = 72980292000. Its totient is φ = 10019481120.

The previous prime is 33131044081. The next prime is 33131044213. The reversal of 33131044122 is 22144013133.

It is a happy number.

It is a super-2 number, since 2×331310441222 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33131044092 and 33131044101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316548 + ... + 408000.

It is an arithmetic number, because the mean of its divisors is an integer number (1520422750).

Almost surely, 233131044122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33131044122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36490146000).

33131044122 is an abundant number, since it is smaller than the sum of its proper divisors (39849247878).

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

33131044122 is a wasteful number, since it uses less digits than its factorization.

33131044122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91979 (or 91968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33131044122 its reverse (22144013133), we get a palindrome (55275057255).

The spelling of 33131044122 in words is "thirty-three billion, one hundred thirty-one million, forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 499 726 998 1497 2994 5489 10978 16467 32934 60379 91453 120758 181137 182906 274359 362274 548718 1005983 2011966 3017949 6035898 11065813 22131626 33197439 45635047 66394878 91270094 136905141 273810282 501985517 1003971034 1505956551 3011913102 5521840687 11043681374 16565522061 33131044122