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100103690727 = 3371412712653
BaseRepresentation
bin101110100111010100…
…1010001100111100111
3100120101101202101012000
41131032221101213213
53120003021100402
6113553105300343
710142443221555
oct1351651214747
9316341671160
10100103690727
11394a9a18517
12174986346b3
1395941460c1
144bb8b32bd5
15290d3bcc1c
hex174ea519e7

100103690727 has 32 divisors (see below), whose sum is σ = 150438850560. Its totient is φ = 65774711520.

The previous prime is 100103690711. The next prime is 100103690867. The reversal of 100103690727 is 727096301001.

It is a happy number.

It is not a de Polignac number, because 100103690727 - 24 = 100103690711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100103690691 and 100103690700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103690927) 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, 7905133 + ... + 7917785.

It is an arithmetic number, because the mean of its divisors is an integer number (4701214080).

Almost surely, 2100103690727 is an apocalyptic number.

100103690727 is a deficient number, since it is larger than the sum of its proper divisors (50335159833).

100103690727 is a wasteful number, since it uses less digits than its factorization.

100103690727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 100103690727 its reverse (727096301001), we get a palindrome (827199991728).

The spelling of 100103690727 in words is "one hundred billion, one hundred three million, six hundred ninety thousand, seven hundred twenty-seven".

Divisors: 1 3 9 27 71 213 639 1917 4127 12381 12653 37143 37959 111429 113877 293017 341631 879051 898363 2637153 2695089 7911459 8085267 24255801 52218931 156656793 469970379 1409911137 3707544101 11122632303 33367896909 100103690727