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1112042343132 = 223278954839043
BaseRepresentation
bin10000001011101010111…
…000111000101011011100
310221022101010212011221100
4100023222320320223130
5121204430314440012
62210510514433100
7143225305645440
oct20135270705334
93838333764840
101112042343132
11399683a03696
1215b630892790
1380b32946cb6
143bb74988820
151ddd7cd78dc
hex102eae38adc

1112042343132 has 144 divisors (see below), whose sum is σ = 3249614833920. Its totient is φ = 314064393984.

The previous prime is 1112042343121. The next prime is 1112042343133. The reversal of 1112042343132 is 2313432402111.

1112042343132 is a `hidden beast` number, since 1 + 1 + 1 + 204 + 23 + 431 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1112042343096 and 1112042343105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112042343133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122968203 + ... + 122977245.

It is an arithmetic number, because the mean of its divisors is an integer number (22566769680).

Almost surely, 21112042343132 is an apocalyptic number.

1112042343132 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 1112042343132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624807416960).

1112042343132 is an abundant number, since it is smaller than the sum of its proper divisors (2137572490788).

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

1112042343132 is a wasteful number, since it uses less digits than its factorization.

1112042343132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632 (or 14627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1112042343132 its reverse (2313432402111), we get a palindrome (3425474745243).

The spelling of 1112042343132 in words is "one trillion, one hundred twelve billion, forty-two million, three hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1869 2492 3204 3738 5483 5607 7476 9043 10966 11214 16449 18086 21932 22428 27129 32898 36172 38381 49347 54258 63301 65796 76762 81387 98694 108516 115143 126602 153524 162774 189903 197388 230286 253204 325548 345429 379806 460572 487987 569709 690858 759612 804827 975974 1139418 1381716 1463961 1609654 1951948 2278836 2414481 2927922 3219308 3415909 4391883 4828962 5633789 5855844 6831818 7243443 8783766 9657924 10247727 11267578 13663636 14486886 16901367 17567532 20495454 22535156 28973772 30743181 33802734 40990908 49582769 50704101 61486362 67605468 99165538 101408202 122972724 148748307 198331076 202816404 297496614 347079383 446244921 594993228 694158766 892489842 1041238149 1388317532 1784979684 2082476298 3123714447 4164952596 4412866441 6247428894 8825732882 12494857788 13238599323 17651465764 26477198646 30890065087 39715797969 52954397292 61780130174 79431595938 92670195261 123560260348 158863191876 185340390522 278010585783 370680781044 556021171566 1112042343132