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100140883749 = 3252361212501
BaseRepresentation
bin101110101000011011…
…1001001111100100101
3100120110222201222102100
41131100313021330211
53120042031234444
6114000514402313
710143404316204
oct1352067117445
9316428658370
10100140883749
1139518a11155
12174a8b90399
13959ba690ca
144bbda5523b
1529117b7e69
hex1750dc9f25

100140883749 has 12 divisors (see below), whose sum is σ = 144651386412. Its totient is φ = 66759000000.

The previous prime is 100140883673. The next prime is 100140883783. The reversal of 100140883749 is 947388041001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46649520225 + 53491363524 = 215985^2 + 231282^2 .

It is not a de Polignac number, because 100140883749 - 29 = 100140883237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100140882749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364999 + ... + 577499.

It is an arithmetic number, because the mean of its divisors is an integer number (12054282201).

Almost surely, 2100140883749 is an apocalyptic number.

It is an amenable number.

100140883749 is a deficient number, since it is larger than the sum of its proper divisors (44510502663).

100140883749 is a wasteful number, since it uses less digits than its factorization.

100140883749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264868 (or 264865 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 100140883749 in words is "one hundred billion, one hundred forty million, eight hundred eighty-three thousand, seven hundred forty-nine".

Divisors: 1 3 9 52361 157083 212501 471249 637503 1912509 11126764861 33380294583 100140883749