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110212222012112 = 24117110141869717
BaseRepresentation
bin11001000011110011001000…
…010101111100101011010000
3112110020012000020201000022202
4121003303020111330223100
5103421204112313341422
61030222443522022332
732133366414044123
oct3103631025745320
9473205006630282
10110212222012112
113213181710aa50
121043ba4a1a79a8
134965c7774865c
141d3042b3123ba
15cb1d15b5db92
hex643cc857cad0

110212222012112 has 80 divisors (see below), whose sum is σ = 236253091941504. Its totient is φ = 49385953344000.

The previous prime is 110212222012069. The next prime is 110212222012127. The reversal of 110212222012112 is 211210222212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126287078 + ... + 127156794.

Almost surely, 2110212222012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212222012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118126545970752).

110212222012112 is an abundant number, since it is smaller than the sum of its proper divisors (126040869929392).

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

110212222012112 is a wasteful number, since it uses less digits than its factorization.

110212222012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879948 (or 879942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110212222012112 its reverse (211210222212011), we get a palindrome (321422444224123).

The spelling of 110212222012112 in words is "one hundred ten trillion, two hundred twelve billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 10141 12496 20282 40564 81128 111551 162256 223102 446204 720011 869717 892408 1440022 1739434 1784816 2880044 3478868 5760088 6957736 7920121 9566887 11520176 13915472 15840242 19133774 31680484 38267548 61749907 63360968 76535096 123499814 126721936 153070192 246999628 493999256 679248977 987998512 1358497954 2716995908 5433991816 8819800097 10867983632 17639600194 35279200388 70558400776 97017801067 141116801552 194035602134 388071204268 626205806887 776142408536 1252411613774 1552284817072 2504823227548 5009646455096 6888263875757 10019292910192 13776527751514 27553055503028 55106111006056 110212222012112