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122233130131032 = 233562877124553
BaseRepresentation
bin11011110010101110011110…
…010011010001111001011000
3121000210101002000002121100000
4123302232132103101321120
5112010131422303143112
61111545042541413000
734514023625125434
oct3362563623217130
9530711060077300
10122233130131032
1135a46863390a78
1211861723b6a160
1353286c49bcb2b
142228187a479c4
15e1e86e3cc7dc
hex6f2b9e4d1e58

122233130131032 has 48 divisors (see below), whose sum is σ = 343309100064840. Its totient is φ = 40744376709696.

The previous prime is 122233130131031. The next prime is 122233130131037. The reversal of 122233130131032 is 230131031332221.

122233130131032 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 313 + 0 + 1 + 310 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122233130130987 and 122233130131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122233130131031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31438560333 + ... + 31438564220.

Almost surely, 2122233130131032 is an apocalyptic number.

122233130131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122233130131032 is an abundant number, since it is smaller than the sum of its proper divisors (221075969933808).

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

122233130131032 is an equidigital number, since it uses as much as digits as its factorization.

122233130131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62877124574 (or 62877124558 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122233130131032 its reverse (230131031332221), we get a palindrome (352364161463253).

The spelling of 122233130131032 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, one hundred thirty million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 62877124553 125754249106 188631373659 251508498212 377262747318 503016996424 565894120977 754525494636 1131788241954 1509050989272 1697682362931 2263576483908 3395364725862 4527152967816 5093047088793 6790729451724 10186094177586 13581458903448 15279141266379 20372188355172 30558282532758 40744376710344 61116565065516 122233130131032