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110312313312 = 2534733077393
BaseRepresentation
bin110011010111100100…
…0000101000111100000
3101112201212002010200210
41212233020011013200
53301404423011222
6122402103414120
710653433122615
oct1465710050740
9345655063623
10110312313312
1142868474793
1219467454340
13a530119496
1454a688050c
152d09739d0c
hex19af2051e0

110312313312 has 96 divisors (see below), whose sum is σ = 295860321792. Its totient is φ = 35972665344.

The previous prime is 110312313311. The next prime is 110312313329. The reversal of 110312313312 is 213313213011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312313311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14917488 + ... + 14924880.

It is an arithmetic number, because the mean of its divisors is an integer number (3081878352).

Almost surely, 2110312313312 is an apocalyptic number.

110312313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110312313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147930160896).

110312313312 is an abundant number, since it is smaller than the sum of its proper divisors (185548008480).

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

110312313312 is a wasteful number, since it uses less digits than its factorization.

110312313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10752 counting only the distinct ones).

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

Adding to 110312313312 its reverse (213313213011), we get a palindrome (323625526323).

The spelling of 110312313312 in words is "one hundred ten billion, three hundred twelve million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 3307 4512 6614 7393 9921 13228 14786 19842 22179 26456 29572 39684 44358 52912 59144 79368 88716 105824 118288 155429 158736 177432 236576 310858 317472 347471 354864 466287 621716 694942 709728 932574 1042413 1243432 1389884 1865148 2084826 2486864 2779768 3730296 4169652 4973728 5559536 7460592 8339304 11119072 14921184 16678608 24448651 33357216 48897302 73345953 97794604 146691906 195589208 293383812 391178416 586767624 782356832 1149086597 1173535248 2298173194 2347070496 3447259791 4596346388 6894519582 9192692776 13789039164 18385385552 27578078328 36770771104 55156156656 110312313312