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131123200113123 = 31729333726038253
BaseRepresentation
bin11101110100000101111111…
…110000111011100111100011
3122012021020220021011220200120
4131310011333300323213203
5114141310303212104443
61142513055550251323
736422224064144001
oct3564057760734743
9565236807156616
10131123200113123
11388640450a8629
121285867a4b6b43
135821b31a1623a
14245457a965a71
151025c36bd7083
hex77417fc3b9e3

131123200113123 has 32 divisors (see below), whose sum is σ = 186298083107136. Its totient is φ = 81749279367168.

The previous prime is 131123200113109. The next prime is 131123200113137. The reversal of 131123200113123 is 321311002321131.

It is an interprime number because it is at equal distance from previous prime (131123200113109) and next prime (131123200113137).

It is not a de Polignac number, because 131123200113123 - 220 = 131123199064547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131123200113093 and 131123200113102.

It is not an unprimeable number, because it can be changed into a prime (131123200113193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7983336 + ... + 18054917.

It is an arithmetic number, because the mean of its divisors is an integer number (5821815097098).

Almost surely, 2131123200113123 is an apocalyptic number.

131123200113123 is a deficient number, since it is larger than the sum of its proper divisors (55174882994013).

131123200113123 is a wasteful number, since it uses less digits than its factorization.

131123200113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26038903.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131123200113123 its reverse (321311002321131), we get a palindrome (452434202434254).

The spelling of 131123200113123 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, two hundred million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 17 51 293 337 879 1011 4981 5729 14943 17187 98741 296223 1678597 5035791 26038253 78114759 442650301 1327950903 7629208129 8774891261 22887624387 26324673783 129696538193 149173151437 389089614579 447519454311 2571043139473 7713129418419 43707733371041 131123200113123