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112561345314 = 2321137145110589
BaseRepresentation
bin110100011010100101…
…1011101001100100010
3101202112121000210121100
41220311023131030202
53321011201022224
6123413204135230
711063242435335
oct1506513351442
9352477023540
10112561345314
1143811a43820
1219994697516
13a7cb057752
14563b44261c
152ddbddeac9
hex1a352dd322

112561345314 has 96 divisors (see below), whose sum is σ = 273458877120. Its totient is φ = 33161616000.

The previous prime is 112561345307. The next prime is 112561345333. The reversal of 112561345314 is 413543165211.

112561345314 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 613 + 4 + 5 + 31 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10624732 + ... + 10635320.

It is an arithmetic number, because the mean of its divisors is an integer number (2848529970).

Almost surely, 2112561345314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112561345314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136729438560).

112561345314 is an abundant number, since it is smaller than the sum of its proper divisors (160897531806).

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

112561345314 is a wasteful number, since it uses less digits than its factorization.

112561345314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 12093 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 112561345314 in words is "one hundred twelve billion, five hundred sixty-one million, three hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1451 2442 2902 3663 4353 7326 8706 10589 13059 15961 21178 26118 31767 31922 47883 53687 63534 95301 95766 107374 116479 143649 161061 190602 232958 287298 322122 349437 391793 483183 590557 698874 783586 966366 1048311 1175379 1181114 1771671 2096622 2350758 3526137 3543342 4309723 5315013 7052274 8619446 10630026 12929169 15364639 25858338 30729278 38787507 46093917 77575014 92187834 138281751 169011029 276563502 338022058 507033087 568491643 1014066174 1136983286 1521099261 1705474929 3042198522 3410949858 5116424787 6253408073 10232849574 12506816146 18760224219 37520448438 56280672657 112561345314