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31300053453252 = 22327337613166769
BaseRepresentation
bin1110001110111100111001…
…00100010100100111000100
311002211020220112121220210100
413013132130210110213010
513100310002141001002
6150323013540324100
76410232334410153
oct707363444244704
9132736815556710
1031300053453252
119a78307202491
1236161b06a3630
13146077563081c
147a2d05a8b59a
153942bd75c11c
hex1c779c9149c4

31300053453252 has 72 divisors (see below), whose sum is σ = 80224759775160. Its totient is φ = 10287689195520.

The previous prime is 31300053453169. The next prime is 31300053453299. The reversal of 31300053453252 is 25235435000313.

31300053453252 is a `hidden beast` number, since 3 + 1 + 300 + 0 + 5 + 345 + 3 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11277346046976 + 20022707406276 = 3358176^2 + 4474674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8300524 + ... + 11467292.

It is an arithmetic number, because the mean of its divisors is an integer number (1114232774655).

Almost surely, 231300053453252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300053453252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40112379887580).

31300053453252 is an abundant number, since it is smaller than the sum of its proper divisors (48924706321908).

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

31300053453252 is a wasteful number, since it uses less digits than its factorization.

31300053453252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170613 (or 3170608 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 31300053453252 its reverse (25235435000313), we get a palindrome (56535488453565).

The spelling of 31300053453252 in words is "thirty-one trillion, three hundred billion, fifty-three million, four hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 3761 7522 11283 15044 22566 33849 45132 67698 135396 274553 549106 823659 1098212 1647318 2470977 3166769 3294636 4941954 6333538 9500307 9883908 12667076 19000614 28500921 38001228 57001842 114003684 231174137 462348274 693522411 924696548 1387044822 2080567233 2774089644 4161134466 8322268932 11910218209 23820436418 35730654627 47640872836 71461309254 107191963881 142922618508 214383927762 428767855524 869445929257 1738891858514 2608337787771 3477783717028 5216675575542 7825013363313 10433351151084 15650026726626 31300053453252