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101537361341 = 132600812789
BaseRepresentation
bin101111010010000011…
…0010010110110111101
3100201002022110101112122
41132210012102312331
53130422031030331
6114351242012325
710223122221353
oct1364406226675
9321068411478
10101537361341
113a075214469
12178187a70a5
139762183500
144cb32cb7d3
1529941b417b
hex17a4192dbd

101537361341 has 6 divisors (see below), whose sum is σ = 109948740570. Its totient is φ = 93726794928.

The previous prime is 101537361323. The next prime is 101537361361. The reversal of 101537361341 is 143163735101.

It can be written as a sum of positive squares in 3 ways, for example, as 2088025 + 101535273316 = 1445^2 + 318646^2 .

It is not a de Polignac number, because 101537361341 - 222 = 101533167037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101537361301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300406226 + ... + 300406563.

It is an arithmetic number, because the mean of its divisors is an integer number (18324790095).

Almost surely, 2101537361341 is an apocalyptic number.

It is an amenable number.

101537361341 is a deficient number, since it is larger than the sum of its proper divisors (8411379229).

101537361341 is an equidigital number, since it uses as much as digits as its factorization.

101537361341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600812815 (or 600812802 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 101537361341 in words is "one hundred one billion, five hundred thirty-seven million, three hundred sixty-one thousand, three hundred forty-one".

Divisors: 1 13 169 600812789 7810566257 101537361341