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10113110312119 = 236747916698209
BaseRepresentation
bin1001001100101010010001…
…0110010000010010110111
31022210210201001020110022121
42103022210112100102313
52311143122214441434
633301522043340411
72062435205212153
oct223124426202267
938723631213277
1010113110312119
113249a45139711
121173ba4221707
1358487bb510a9
1426d697432063
151280ea11e7b4
hex932a45904b7

10113110312119 has 32 divisors (see below), whose sum is σ = 10740413952000. Its totient is φ = 9502281828864.

The previous prime is 10113110312099. The next prime is 10113110312131. The reversal of 10113110312119 is 91121301131101.

It is a cyclic number.

It is not a de Polignac number, because 10113110312119 - 229 = 10112573441207 is a prime.

It is a super-2 number, since 2×101131103121192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10113110312093 and 10113110312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113110312719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231949887 + ... + 1231958095.

It is an arithmetic number, because the mean of its divisors is an integer number (335637936000).

Almost surely, 210113110312119 is an apocalyptic number.

10113110312119 is a deficient number, since it is larger than the sum of its proper divisors (627303639881).

10113110312119 is a wasteful number, since it uses less digits than its factorization.

10113110312119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 10113110312119 in words is "ten trillion, one hundred thirteen billion, one hundred ten million, three hundred twelve thousand, one hundred nineteen".

Divisors: 1 23 67 479 1541 1669 8209 11017 32093 38387 111823 188807 550003 738139 799451 2571929 3932111 12650069 13700821 18387373 53563217 90438553 263451437 315118883 917955007 1231953991 6059383051 6562693259 21112965161 150941944957 439700448353 10113110312119