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13100110878928 = 2417536114897053
BaseRepresentation
bin1011111010100001101101…
…1101001001100011010000
31201101100200020210002211011
42332220123131021203100
53204113011341111203
643510035144100304
72521310650132153
oct276503335114320
951340606702734
1013100110878928
1141a07a9087877
121576a80764694
1374044844a298
14334097aa9c9a
1517ab6d4c476d
hexbea1b7498d0

13100110878928 has 80 divisors (see below), whose sum is σ = 27830437929936. Its totient is φ = 5949286686720.

The previous prime is 13100110878857. The next prime is 13100110878929. The reversal of 13100110878928 is 82987801100131.

13100110878928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 96355609744 + 13003755269184 = 310412^2 + 3606072^2 .

It is a super-2 number, since 2×131001108789282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100110878929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6569151 + ... + 8327902.

Almost surely, 213100110878928 is an apocalyptic number.

It is an amenable number.

13100110878928 is an abundant number, since it is smaller than the sum of its proper divisors (14730327051008).

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

13100110878928 is a wasteful number, since it uses less digits than its factorization.

13100110878928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897192 (or 14897186 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 49.

The spelling of 13100110878928 in words is "thirteen trillion, one hundred billion, one hundred ten million, eight hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 53 61 68 106 122 136 212 244 272 424 488 848 901 976 1037 1802 2074 3233 3604 4148 6466 7208 8296 12932 14416 16592 25864 51728 54961 109922 219844 439688 879376 14897053 29794106 59588212 119176424 238352848 253249901 506499802 789543809 908720233 1012999604 1579087618 1817440466 2025999208 3158175236 3634880932 4051998416 6316350472 7269761864 12632700944 13422244753 14539523728 15448243961 26844489506 30896487922 48162172349 53688979012 61792975844 96324344698 107377958024 123585951688 192648689396 214755916048 247171903376 385297378792 770594757584 818756929933 1637513859866 3275027719732 6550055439464 13100110878928