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112212106842 = 231123316313779
BaseRepresentation
bin110100010000001011…
…1001101111001011010
3101201122020212122111010
41220200113031321122
53314302244404332
6123314410514350
711051502112353
oct1504027157132
9351566778433
10112212106842
1143652899790
12198b77359b6
13a7738aa074
145606cd2d2a
152dbb4069cc
hex1a205cde5a

112212106842 has 128 divisors (see below), whose sum is σ = 264199864320. Its totient is φ = 31417848000.

The previous prime is 112212106837. The next prime is 112212106843. The reversal of 112212106842 is 248601212211.

It is not an unprimeable number, because it can be changed into a prime (112212106843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29691709 + ... + 29695487.

It is an arithmetic number, because the mean of its divisors is an integer number (2064061440).

Almost surely, 2112212106842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112212106842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132099932160).

112212106842 is an abundant number, since it is smaller than the sum of its proper divisors (151987757478).

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

112212106842 is a wasteful number, since it uses less digits than its factorization.

112212106842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480.

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 112212106842 in words is "one hundred twelve billion, two hundred twelve million, one hundred six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 631 682 713 759 1023 1262 1426 1518 1893 2046 2139 3779 3786 4278 6941 7558 7843 11337 13882 14513 15686 19561 20823 22674 23529 29026 39122 41569 41646 43539 47058 58683 83138 86917 87078 117149 117366 124707 159643 173834 215171 234298 249414 260751 319286 351447 430342 449903 478929 521502 645513 702894 899806 956087 957858 1288639 1291026 1349709 1912174 2384549 2577278 2694427 2699418 2868261 3865917 4769098 4948933 5388854 5736522 7153647 7731834 8083281 9897866 14307294 14846799 16166562 26230039 29638697 29693598 52460078 54844627 59277394 73921019 78690117 88916091 109689254 147842038 157380234 164533881 177832182 221763057 329067762 443526114 603290897 813131209 1206581794 1626262418 1700183437 1809872691 2439393627 3400366874 3619745382 4878787254 5100550311 10201100622 18702017807 37404035614 56106053421 112212106842