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101657670244 = 22132122632
BaseRepresentation
bin101111010101101000…
…1001111001001100100
3100201101200211201022221
41132223101033021210
53131143330421434
6114411220402124
710226112640234
oct1365321171144
9321350751287
10101657670244
113a127117309
1217850b46344
139781087c00
144cc5287cc4
15299ea2b2b4
hex17ab44f264

101657670244 has 27 divisors (see below), whose sum is σ = 192653987673. Its totient is φ = 46915098672.

The previous prime is 101657670239. The next prime is 101657670253. The reversal of 101657670244 is 442076756101.

The square root of 101657670244 is 318838.

It is a perfect power (a square), and thus also a powerful number.

101657670244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15038116900 + 86619553344 = 122630^2 + 294312^2 .

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 101657670244.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 8283657 + ... + 8295919.

Almost surely, 2101657670244 is an apocalyptic number.

101657670244 is the 318838-th square number.

It is an amenable number.

101657670244 is a deficient number, since it is larger than the sum of its proper divisors (90996317429).

101657670244 is an frugal number, since it uses more digits than its factorization.

101657670244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24556 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 101657670244 in words is "one hundred one billion, six hundred fifty-seven million, six hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 4 13 26 52 169 338 676 12263 24526 49052 159419 318838 637676 2072447 4144894 8289788 150381169 300762338 601524676 1954955197 3909910394 7819820788 25414417561 50828835122 101657670244