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102131322100323 = 3499279732717457
BaseRepresentation
bin10111001110001101001101…
…001011001001101001100011
3111101121122210102212021120020
4113032031031023021221203
5101341304421424202243
61001114252012044523
730340513241112465
oct2716151513115143
9441548712767506
10102131322100323
112a5a671784968a
12b555899163743
1344cac33457209
141b3127a5a2135
15bc1a0b719283
hex5ce34d2c9a63

102131322100323 has 32 divisors (see below), whose sum is σ = 136556815296000. Its totient is φ = 67896933073920.

The previous prime is 102131322100321. The next prime is 102131322100343. The reversal of 102131322100323 is 323001223131201.

102131322100323 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102131322100323 - 21 = 102131322100321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131322100293 and 102131322100302.

It is not an unprimeable number, because it can be changed into a prime (102131322100321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13696029811 + ... + 13696037267.

It is an arithmetic number, because the mean of its divisors is an integer number (4267400478000).

Almost surely, 2102131322100323 is an apocalyptic number.

102131322100323 is a deficient number, since it is larger than the sum of its proper divisors (34425493195677).

102131322100323 is a wasteful number, since it uses less digits than its factorization.

102131322100323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14027.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102131322100323 its reverse (323001223131201), we get a palindrome (425132545231524).

The spelling of 102131322100323 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred thousand, three hundred twenty-three".

Divisors: 1 3 499 1497 2797 3271 7457 8391 9813 22371 1395703 1632229 3721043 4187109 4896687 9148987 11163129 20857229 24391847 27446961 62571687 73175541 4565344513 10407757271 12171531653 13696033539 31223271813 36514594959 68223996059 204671988177 34043774033441 102131322100323