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100331200120 = 23519831590539
BaseRepresentation
bin101110101110000110…
…1001001111001111000
3100120222020212001101211
41131130031021321320
53120434241400440
6114031433452504
710151205062344
oct1353415117170
9316866761354
10100331200120
113960638a708
1217540871134
1395cc312848
144bdb036624
15292335ceea
hex175c349e78

100331200120 has 64 divisors (see below), whose sum is σ = 240489648000. Its totient is φ = 37562145408.

The previous prime is 100331200103. The next prime is 100331200121. The reversal of 100331200120 is 21002133001.

100331200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100331200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331200121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732190 + ... + 858349.

It is an arithmetic number, because the mean of its divisors is an integer number (3757650750).

Almost surely, 2100331200120 is an apocalyptic number.

100331200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331200120 is an abundant number, since it is smaller than the sum of its proper divisors (140158447880).

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

100331200120 is a wasteful number, since it uses less digits than its factorization.

100331200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590652 (or 1590648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100331200120 its reverse (21002133001), we get a palindrome (121333333121).

The spelling of 100331200120 in words is "one hundred billion, three hundred thirty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 152 166 190 332 380 415 664 760 830 1577 1660 3154 3320 6308 7885 12616 15770 31540 63080 1590539 3181078 6362156 7952695 12724312 15905390 30220241 31810780 60440482 63621560 120880964 132014737 151101205 241761928 264029474 302202410 528058948 604404820 660073685 1056117896 1208809640 1320147370 2508280003 2640294740 5016560006 5280589480 10033120012 12541400015 20066240024 25082800030 50165600060 100331200120