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100075888781 = 1125631469047
BaseRepresentation
bin101110100110011111…
…1001110000010001101
3100120022110102220002022
41131030333032002031
53114423411420111
6113550233335525
710141655006411
oct1351477160215
9316273386068
10100075888781
1139495259500
121748b2675a5
13958b46074b
144bb5176d41
15290ac2a2db
hex174cfce08d

100075888781 has 12 divisors (see below), whose sum is σ = 110196228576. Its totient is φ = 90816423720.

The previous prime is 100075888771. The next prime is 100075888811. The reversal of 100075888781 is 187888570001.

It is a de Polignac number, because none of the positive numbers 2k-100075888781 is a prime.

It is a super-2 number, since 2×1000758887812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100075888771) 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, 666401 + ... + 802646.

It is an arithmetic number, because the mean of its divisors is an integer number (9183019048).

Almost surely, 2100075888781 is an apocalyptic number.

100075888781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100075888781 is a deficient number, since it is larger than the sum of its proper divisors (10120339795).

100075888781 is a wasteful number, since it uses less digits than its factorization.

100075888781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469632 (or 1469621 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 53.

The spelling of 100075888781 in words is "one hundred billion, seventy-five million, eight hundred eighty-eight thousand, seven hundred eighty-one".

Divisors: 1 11 121 563 6193 68123 1469047 16159517 177754687 827073461 9097808071 100075888781