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100670106693 = 31364714872683
BaseRepresentation
bin101110111000001100…
…1111110110001000101
3100121211212120021211010
41131300121332301011
53122133021403233
6114125221432433
710162461534222
oct1356031766105
9317755507733
10100670106693
113976a718192
121761626b719
1396545b3590
144c30056949
152942ea4b63
hex177067ec45

100670106693 has 32 divisors (see below), whose sum is σ = 144926724096. Its totient is φ = 61790447808.

The previous prime is 100670106679. The next prime is 100670106701. The reversal of 100670106693 is 396601076001.

It is not a de Polignac number, because 100670106693 - 28 = 100670106437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100670106193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37520130 + ... + 37522812.

It is an arithmetic number, because the mean of its divisors is an integer number (4528960128).

Almost surely, 2100670106693 is an apocalyptic number.

100670106693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100670106693 is a deficient number, since it is larger than the sum of its proper divisors (44256617403).

100670106693 is a wasteful number, since it uses less digits than its factorization.

100670106693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833.

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 100670106693 in words is "one hundred billion, six hundred seventy million, one hundred six thousand, six hundred ninety-three".

Divisors: 1 3 13 39 647 1487 1941 2683 4461 8049 8411 19331 25233 34879 57993 104637 962089 1735901 2886267 3989621 5207703 11968863 12507157 22566713 37521471 51865073 67700139 155595219 2581284787 7743854361 33556702231 100670106693