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110470379019121 = 112181252792
BaseRepresentation
bin11001000111100011100011…
…101100110001101101110001
3112111010212100122122202110201
4121013203203230301231301
5103434421314012102441
61030541220322355201
732161135655306332
oct3107434354615561
9474125318582421
10110470379019121
1132221251aaa300
1210481a964bbb01
1349844097309c4
141d3cb1b1bc289
15cb88c4b38c31
hex6478e3b31b71

110470379019121 has 27 divisors (see below), whose sum is σ = 122123821938699. Its totient is φ = 99853849695600.

The previous prime is 110470379019101. The next prime is 110470379019127. The reversal of 110470379019121 is 121910973074011.

The square root of 110470379019121 is 10510489.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1217295162721 + 109253083856400 = 1103311^2 + 10452420^2 .

It is not a de Polignac number, because 110470379019121 - 29 = 110470379018609 is a prime.

It is a super-2 number, since 2×1104703790191212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110470379019127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20926380960 + ... + 20926386238.

Almost surely, 2110470379019121 is an apocalyptic number.

110470379019121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110470379019121 is the 10510489-th square number.

110470379019121 is the 5255245-th centered octagonal number.

It is an amenable number.

110470379019121 is a deficient number, since it is larger than the sum of its proper divisors (11653442919578).

110470379019121 is an frugal number, since it uses more digits than its factorization.

110470379019121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 46.

The spelling of 110470379019121 in words is "one hundred ten trillion, four hundred seventy billion, three hundred seventy-nine million, nineteen thousand, one hundred twenty-one".

Divisors: 1 11 121 181 1991 5279 21901 32761 58069 360371 638759 955499 3964081 10510489 27867841 115615379 172945319 306546251 1902398509 3372008761 5044079221 20926383599 55484871431 610333585741 912978339001 10042761729011 110470379019121