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123102131331201 = 31137611652799121
BaseRepresentation
bin11011111111010111110010…
…110011110010000010000001
3121010212110010012011111101220
4123333113302303302002001
5112113401131110044301
61113452201033145253
734633556400345321
oct3377276263620201
9533773105144356
10123102131331201
1136251358963730
121198202685b229
13538c6341a7019
1422582640ab281
15e37280289936
hex6ff5f2cf2081

123102131331201 has 32 divisors (see below), whose sum is σ = 186911747108736. Its totient is φ = 71400921984000.

The previous prime is 123102131331199. The next prime is 123102131331209. The reversal of 123102131331201 is 102133131201321.

It is not a de Polignac number, because 123102131331201 - 21 = 123102131331199 is a prime.

It is a super-2 number, since 2×1231021313312012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123102131331209) 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, 826325080 + ... + 826474041.

It is an arithmetic number, because the mean of its divisors is an integer number (5840992097148).

Almost surely, 2123102131331201 is an apocalyptic number.

123102131331201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123102131331201 is a deficient number, since it is larger than the sum of its proper divisors (63809615777535).

123102131331201 is a wasteful number, since it uses less digits than its factorization.

123102131331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652799233.

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

Adding to 123102131331201 its reverse (102133131201321), we get a palindrome (225235262532522).

The spelling of 123102131331201 in words is "one hundred twenty-three trillion, one hundred two billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 11 33 37 61 111 183 407 671 1221 2013 2257 6771 24827 74481 1652799121 4958397363 18180790331 54542370993 61153567477 100820746381 183460702431 302462239143 672689242247 1109028210191 2018067726741 3327084630573 3730367616097 11191102848291 41034043777067 123102131331201