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100104332430 = 23561127430723
BaseRepresentation
bin101110100111010101…
…1101110010010001110
3100120101102221222102210
41131032223232102032
53120003202114210
6113553131131250
710142451533454
oct1351653562216
9316342858383
10100104332430
11394aa316653
12174988a3b26
13959430c1cb
144bb8c5c9d4
15290d497e20
hex174eaee48e

100104332430 has 64 divisors (see below), whose sum is σ = 246112247808. Its totient is φ = 26050066560.

The previous prime is 100104332429. The next prime is 100104332437. The reversal of 100104332430 is 34233401001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100104332397 and 100104332406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100104332437) 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, 17049 + ... + 447771.

It is an arithmetic number, because the mean of its divisors is an integer number (3845503872).

Almost surely, 2100104332430 is an apocalyptic number.

100104332430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100104332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123056123904).

100104332430 is an abundant number, since it is smaller than the sum of its proper divisors (146007915378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100104332430 is a wasteful number, since it uses less digits than its factorization.

100104332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430921.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100104332430 its reverse (34233401001), we get a palindrome (134337733431).

The spelling of 100104332430 in words is "one hundred billion, one hundred four million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 127 183 254 305 366 381 610 635 762 915 1270 1830 1905 3810 7747 15494 23241 38735 46482 77470 116205 232410 430723 861446 1292169 2153615 2584338 4307230 6460845 12921690 26274103 52548206 54701821 78822309 109403642 131370515 157644618 164105463 262741030 273509105 328210926 394111545 547018210 788223090 820527315 1641054630 3336811081 6673622162 10010433243 16684055405 20020866486 33368110810 50052166215 100104332430