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123152251321 = 11271101141931
BaseRepresentation
bin111001010110001110…
…0100011100110111001
3102202212200200120101101
41302230130203212321
54004203434020241
6132324140051401
711616553602331
oct1625434434671
9382780616341
10123152251321
1148257265200
121ba4b533b61
13b7c82a8438
145d63c620c1
15330bac0e31
hex1cac7239b9

123152251321 has 24 divisors (see below), whose sum is σ = 138632364864. Its totient is φ = 109286100000.

The previous prime is 123152251319. The next prime is 123152251331.

123152251321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123152251321 - 21 = 123152251319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123152251321.

It is not an unprimeable number, because it can be changed into a prime (123152251331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796726 + ... + 938656.

It is an arithmetic number, because the mean of its divisors is an integer number (5776348536).

Almost surely, 2123152251321 is an apocalyptic number.

123152251321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123152251321 is a deficient number, since it is larger than the sum of its proper divisors (15480113543).

123152251321 is a wasteful number, since it uses less digits than its factorization.

123152251321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142125 (or 142114 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

It can be divided in two parts, 123152 and 251321, that added together give a palindrome (374473).

The spelling of 123152251321 in words is "one hundred twenty-three billion, one hundred fifty-two million, two hundred fifty-one thousand, three hundred twenty-one".

Divisors: 1 11 71 101 121 781 1111 7171 8591 12221 78881 141931 867691 1561241 10077101 14335031 17173651 110848111 157685341 1017787201 1219329221 1734538751 11195659211 123152251321