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101373645465 = 3252252747677
BaseRepresentation
bin101111001101001010…
…1110001001010011001
3100200122220101202120200
41132122111301022121
53130103123123330
6114323113012413
710216063524531
oct1363225611231
9320586352520
10101373645465
1139aa0864294
12177919b4109
139737291601
144c996724c1
152984b25a60
hex179a571299

101373645465 has 12 divisors (see below), whose sum is σ = 175714318884. Its totient is φ = 54065944224.

The previous prime is 101373645427. The next prime is 101373645467. The reversal of 101373645465 is 564546373101.

101373645465 is a `hidden beast` number, since 1 + 0 + 137 + 3 + 6 + 454 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77493197376 + 23880448089 = 278376^2 + 154533^2 .

It is not a de Polignac number, because 101373645465 - 210 = 101373644441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2252747677 = 101373645465 / (1 + 0 + 1 + 3 + 7 + 3 + 6 + 4 + 5 + 4 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 101373645465.

It is not an unprimeable number, because it can be changed into a prime (101373645467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126373794 + ... + 1126373883.

It is an arithmetic number, because the mean of its divisors is an integer number (14642859907).

Almost surely, 2101373645465 is an apocalyptic number.

101373645465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101373645465 is a deficient number, since it is larger than the sum of its proper divisors (74340673419).

101373645465 is a wasteful number, since it uses less digits than its factorization.

101373645465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252747688 (or 2252747685 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 101373645465 in words is "one hundred one billion, three hundred seventy-three million, six hundred forty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 2252747677 6758243031 11263738385 20274729093 33791215155 101373645465