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112313101311222 = 237137151157823349
BaseRepresentation
bin11001100010010111101110…
…100000011101110011110110
3112201200000202010202020011020
4121202113232200131303312
5104210114212413424342
61034511532040322010
732441232231331020
oct3142275640356366
9481600663666136
10112313101311222
113287179a76a309
121071b046473306
134a89106a18696
141da3da9911010
15ceb7c51640ec
hex6625ee81dcf6

112313101311222 has 128 divisors (see below), whose sum is σ = 261960303052800. Its totient is φ = 31442672102400.

The previous prime is 112313101311161. The next prime is 112313101311227. The reversal of 112313101311222 is 222113101313211.

It is a super-2 number, since 2×1123131013112222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313101311192 and 112313101311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112313101311227) 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, 135998404 + ... + 136821752.

It is an arithmetic number, because the mean of its divisors is an integer number (2046564867600).

Almost surely, 2112313101311222 is an apocalyptic number.

112313101311222 is an abundant number, since it is smaller than the sum of its proper divisors (149647201741578).

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

112313101311222 is a wasteful number, since it uses less digits than its factorization.

112313101311222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823806.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 112313101311222 its reverse (222113101313211), we get a palindrome (334426202624433).

The spelling of 112313101311222 in words is "one hundred twelve trillion, three hundred thirteen billion, one hundred one million, three hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 137 151 157 274 302 314 411 453 471 822 906 942 959 1057 1099 1918 2114 2198 2877 3171 3297 5754 6342 6594 20687 21509 23707 41374 43018 47414 62061 64527 71121 124122 129054 142242 144809 150563 165949 289618 301126 331898 434427 451689 497847 823349 868854 903378 995694 1646698 2470047 3247859 4940094 5763443 6495718 9743577 11526886 17290329 19487154 22735013 34580658 45470026 68205039 112798813 124325699 129265793 136410078 225597626 248651398 258531586 338396439 372977097 387797379 676792878 745954194 775594758 789591691 870279893 904860551 1579183382 1740559786 1809721102 2368775073 2610839679 2714581653 4737550146 5221679358 5429163306 17032620763 17709413641 19519134743 34065241526 35418827282 39038269486 51097862289 53128240923 58557404229 102195724578 106256481846 117114808458 119228345341 123965895487 136633943201 238456690682 247931790974 273267886402 357685036023 371897686461 409901829603 715370072046 743795372922 819803659206 2674121459791 5348242919582 8022364379373 16044728758746 18718850218537 37437700437074 56156550655611 112313101311222