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110430404121132 = 223280691588723929
BaseRepresentation
bin11001000110111110010101…
…000000101001001000101100
3112111000001011201211112110100
4121012332111000221020230
5103433242431423334012
61030511005521511100
732155222234264254
oct3106762500511054
9474001151745410
10110430404121132
11322062a9236827
121047619aaa2490
134980708929c04
141d3ac080a6964
15cb783545e8dc
hex646f9502922c

110430404121132 has 72 divisors (see below), whose sum is σ = 279207356500800. Its totient is φ = 36801718057728.

The previous prime is 110430404120999. The next prime is 110430404121137. The reversal of 110430404121132 is 231121404034011.

It is a happy number.

110430404121132 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 3 + 0 + 404 + 121 + 132 = 666.

It is a super-2 number, since 2×1104304041211322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110430404121096 and 110430404121105.

It is not an unprimeable number, because it can be changed into a prime (110430404121137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4614907344 + ... + 4614931272.

It is an arithmetic number, because the mean of its divisors is an integer number (3877879951400).

Almost surely, 2110430404121132 is an apocalyptic number.

110430404121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110430404121132 is an abundant number, since it is smaller than the sum of its proper divisors (168776952379668).

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

110430404121132 is a wasteful number, since it uses less digits than its factorization.

110430404121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47895 (or 47890 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110430404121132 its reverse (231121404034011), we get a palindrome (341551808155143).

The spelling of 110430404121132 in words is "one hundred ten trillion, four hundred thirty billion, four hundred four million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8069 15887 16138 23929 24207 31774 32276 47661 47858 48414 63548 71787 72621 95322 95716 96828 142983 143574 145242 190644 215361 285966 287148 290484 430722 571932 861444 128192203 193083101 256384406 380160023 384576609 386166202 512768812 579249303 760320046 769153218 772332404 1140480069 1153729827 1158498606 1520640092 1538306436 1737747909 2280960138 2307459654 2316997212 3421440207 3475495818 4561920276 4614919308 6842880414 6950991636 13685760828 3067511225587 6135022451174 9202533676761 12270044902348 18405067353522 27607601030283 36810134707044 55215202060566 110430404121132