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123001300213113 = 3746513042741389
BaseRepresentation
bin11011111101111001111000…
…110011100101110101111001
3121010111210212002121222110210
4123331321320303211311321
5112110223130323304423
61113334003420301333
734623356612110110
oct3375717063456571
9533453762558423
10123001300213113
1136212616373283
12119665866a1849
135382c8543a83a
14225341a900c77
15e3482d0ccb93
hex6fde78ce5d79

123001300213113 has 32 divisors (see below), whose sum is σ = 187481542650880. Its totient is φ = 70267337870400.

The previous prime is 123001300213111. The next prime is 123001300213153. The reversal of 123001300213113 is 311312003100321.

It is a happy number.

It is not a de Polignac number, because 123001300213113 - 21 = 123001300213111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 123001300213113.

It is not an unprimeable number, because it can be changed into a prime (123001300213111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2971814823 + ... + 2971856211.

It is an arithmetic number, because the mean of its divisors is an integer number (5858798207840).

Almost surely, 2123001300213113 is an apocalyptic number.

It is an amenable number.

123001300213113 is a deficient number, since it is larger than the sum of its proper divisors (64480242437767).

123001300213113 is a wasteful number, since it uses less digits than its factorization.

123001300213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76477.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123001300213113 its reverse (311312003100321), we get a palindrome (434313303313434).

The spelling of 123001300213113 in words is "one hundred twenty-three trillion, one billion, three hundred million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 21 4651 13953 30427 32557 41389 91281 97671 124167 212989 289723 638967 869169 141515977 192500239 424547931 577500717 990611839 1259343103 1347501673 2971835517 3778029309 4042505019 8815401721 26446205163 5857204772053 17571614316159 41000433404371 123001300213113