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110022210121212 = 22335333158070123
BaseRepresentation
bin11001000001000010001010…
…110000000110110111111100
3112102120000112222210211201000
4121001002022300012313330
5103410100441242334322
61025555301111450300
732113561634445534
oct3101021260066774
9472500488724630
10110022210121212
1132069180381a74
121040b05b686990
13495108581250c
141d2516397a4c4
15cabde44e93ac
hex64108ac06dfc

110022210121212 has 96 divisors (see below), whose sum is σ = 291502731260160. Its totient is φ = 35873398566720.

The previous prime is 110022210121163. The next prime is 110022210121237. The reversal of 110022210121212 is 212121012220011.

110022210121212 is a `hidden beast` number, since 1 + 100 + 22 + 210 + 121 + 212 = 666.

110022210121212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1100222101212123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27140418 + ... + 30929705.

It is an arithmetic number, because the mean of its divisors is an integer number (3036486783960).

Almost surely, 2110022210121212 is an apocalyptic number.

110022210121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110022210121212 is an abundant number, since it is smaller than the sum of its proper divisors (181480521138948).

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

110022210121212 is a wasteful number, since it uses less digits than its factorization.

110022210121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58070520 (or 58070512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110022210121212 its reverse (212121012220011), we get a palindrome (322143222341223).

The spelling of 110022210121212 in words is "one hundred ten trillion, twenty-two billion, two hundred ten million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 331 477 636 662 954 993 1324 1431 1908 1986 2862 2979 3972 5724 5958 8937 11916 17543 17874 35086 35748 52629 70172 105258 157887 210516 315774 473661 631548 947322 1894644 58070123 116140246 174210369 232280492 348420738 522631107 696841476 1045262214 1567893321 2090524428 3077716519 3135786642 6155433038 6271573284 9233149557 12310866076 18466299114 19221210713 27699448671 36932598228 38442421426 55398897342 57663632139 76884842852 83098346013 110797794684 115327264278 166196692026 172990896417 230654528556 332393384052 345981792834 518972689251 691963585668 1018724167789 1037945378502 2037448335578 2075890757004 3056172503367 4074896671156 6112345006734 9168517510101 12224690013468 18337035020202 27505552530303 36674070040404 55011105060606 110022210121212