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110313213312 = 273319266903
BaseRepresentation
bin110011010111100101…
…1100000110110000000
3101112201220202212021010
41212233023200312000
53301410140311222
6122402135000520
710653443561541
oct1465713406600
9345656685233
10110313213312
1142868a29995
1219467809140
13a530373023
1454a6a364c8
152d0986680c
hex19af2e0d80

110313213312 has 64 divisors (see below), whose sum is σ = 302471746560. Its totient is φ = 35584903680.

The previous prime is 110313213293. The next prime is 110313213319. The reversal of 110313213312 is 213312313011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110313213319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4621548 + ... + 4645355.

It is an arithmetic number, because the mean of its divisors is an integer number (4726121040).

Almost surely, 2110313213312 is an apocalyptic number.

110313213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110313213312 is an abundant number, since it is smaller than the sum of its proper divisors (192158533248).

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

110313213312 is an equidigital number, since it uses as much as digits as its factorization.

110313213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266951 (or 9266939 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 110313213312 its reverse (213312313011), we get a palindrome (323625526323).

The spelling of 110313213312 in words is "one hundred ten billion, three hundred thirteen million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 9266903 18533806 27800709 37067612 55601418 74135224 111202836 148270448 222405672 287273993 296540896 444811344 574547986 593081792 861821979 889622688 1149095972 1186163584 1723643958 1779245376 2298191944 3447287916 3558490752 4596383888 6894575832 9192767776 13789151664 18385535552 27578303328 36771071104 55156606656 110313213312