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101971431743 = 2979257173189
BaseRepresentation
bin101111011110111111…
…0001001000100111111
3100202012120020110012012
41132331332021010333
53132314141303433
6114502305401435
710236642603626
oct1367576110477
9322176213165
10101971431743
113a27823aa35
121791a03927b
1398010936bc
144d14c006bd
1529bc357848
hex17bdf8913f

101971431743 has 16 divisors (see below), whose sum is σ = 107239248000. Its totient is φ = 96830103552.

The previous prime is 101971431739. The next prime is 101971431769. The reversal of 101971431743 is 347134179101.

It is not a de Polignac number, because 101971431743 - 22 = 101971431739 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 101971431743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101971431773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502193 + ... + 675381.

It is an arithmetic number, because the mean of its divisors is an integer number (6702453000).

Almost surely, 2101971431743 is an apocalyptic number.

101971431743 is a deficient number, since it is larger than the sum of its proper divisors (5267816257).

101971431743 is a wasteful number, since it uses less digits than its factorization.

101971431743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173554.

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 101971431743 in words is "one hundred one billion, nine hundred seventy-one million, four hundred thirty-one thousand, seven hundred forty-three".

Divisors: 1 29 79 257 2291 7453 20303 173189 588787 5022481 13681931 44509573 396775999 1290777617 3516256267 101971431743