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100747340739 = 32659123113799
BaseRepresentation
bin101110111010100000…
…0100110101111000011
3100122001020220012000100
41131311000212233003
53122312304400424
6114141021053443
710164420160323
oct1356500465703
9318036805010
10100747340739
11397aa27a281
12176380b7283
1396675b59b6
144c3a3dd283
152949b5ddc9
hex1775026bc3

100747340739 has 24 divisors (see below), whose sum is σ = 145873728000. Its totient is φ = 67003639920.

The previous prime is 100747340717. The next prime is 100747340747. The reversal of 100747340739 is 937043747001.

100747340739 is a `hidden beast` number, since 100 + 7 + 473 + 4 + 0 + 73 + 9 = 666.

It is not a de Polignac number, because 100747340739 - 215 = 100747307971 is a prime.

It is a super-2 number, since 2×1007473407392 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100747340694 and 100747340703.

It is not an unprimeable number, because it can be changed into a prime (100747340339) 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 23 ways as a sum of consecutive naturals, for example, 7294162 + ... + 7307960.

It is an arithmetic number, because the mean of its divisors is an integer number (6078072000).

Almost surely, 2100747340739 is an apocalyptic number.

100747340739 is a deficient number, since it is larger than the sum of its proper divisors (45126387261).

100747340739 is a wasteful number, since it uses less digits than its factorization.

100747340739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15695 (or 15692 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 100747340739 in words is "one hundred billion, seven hundred forty-seven million, three hundred forty thousand, seven hundred thirty-nine".

Divisors: 1 3 9 659 1231 1977 3693 5931 11079 13799 41397 124191 811229 2433687 7301061 9093541 16986569 27280623 50959707 81841869 152879121 11194148971 33582446913 100747340739