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100330324120 = 235131497191801
BaseRepresentation
bin101110101110000100…
…1110100000010011000
3100120222012012112202101
41131130021310002120
53120434030332440
6114031403013144
710151164453405
oct1353411640230
9316865175671
10100330324120
1139605941544
121754050a1b4
1395cc096bc0
144bdac892ac
15292323869a
hex175c274098

100330324120 has 128 divisors (see below), whose sum is σ = 245216160000. Its totient is φ = 36724838400.

The previous prime is 100330324103. The next prime is 100330324169. The reversal of 100330324120 is 21423033001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55707220 + ... + 55709020.

It is an arithmetic number, because the mean of its divisors is an integer number (1915751250).

Almost surely, 2100330324120 is an apocalyptic number.

100330324120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100330324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122608080000).

100330324120 is an abundant number, since it is smaller than the sum of its proper divisors (144885835880).

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

100330324120 is a wasteful number, since it uses less digits than its factorization.

100330324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100330324120 its reverse (21423033001), we get a palindrome (121753357121).

The spelling of 100330324120 in words is "one hundred billion, three hundred thirty million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 520 596 719 745 1192 1438 1490 1801 1937 2876 2980 3595 3602 3874 5752 5960 7190 7204 7748 9005 9347 9685 14380 14408 15496 18010 18694 19370 23413 28760 36020 37388 38740 46735 46826 72040 74776 77480 93470 93652 107131 117065 186940 187304 214262 234130 268349 373880 428524 468260 535655 536698 857048 936520 1071310 1073396 1294919 1341745 1392703 2142620 2146792 2589838 2683490 2785406 3488537 4285240 5179676 5366980 5570812 6474595 6963515 6977074 10359352 10733960 11141624 12949190 13927030 13954148 16833947 17442685 25898380 27854060 27908296 33667894 34885370 51796760 55708120 67335788 69770740 84169735 134671576 139541480 168339470 192942931 336678940 385885862 673357880 771771724 964714655 1543543448 1929429310 2508258103 3858858620 5016516206 7717717240 10033032412 12541290515 20066064824 25082581030 50165162060 100330324120