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100434556340 = 22510348754639
BaseRepresentation
bin101110110001001011…
…1011011010110110100
3100121020110100002110222
41131202113123112310
53121142221300330
6114050005033512
710153601433416
oct1354227332664
9317213302428
10100434556340
1139659763778
121756b3b5898
13961785cb81
144c0aa5c9b6
15292c4770e5
hex17625db5b4

100434556340 has 24 divisors (see below), whose sum is σ = 212960267520. Its totient is φ = 39783784608.

The previous prime is 100434556319. The next prime is 100434556399. The reversal of 100434556340 is 43655434001.

It is a super-3 number, since 3×1004345563403 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100434556340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24375260 + ... + 24379379.

It is an arithmetic number, because the mean of its divisors is an integer number (8873344480).

Almost surely, 2100434556340 is an apocalyptic number.

100434556340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434556340 is an abundant number, since it is smaller than the sum of its proper divisors (112525711180).

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

100434556340 is a wasteful number, since it uses less digits than its factorization.

100434556340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48754751 (or 48754749 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 100434556340 in words is "one hundred billion, four hundred thirty-four million, five hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 103 206 412 515 1030 2060 48754639 97509278 195018556 243773195 487546390 975092780 5021727817 10043455634 20086911268 25108639085 50217278170 100434556340