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120190930100 = 225241142720543
BaseRepresentation
bin110111111101111110…
…0000000110010110100
3102111020022102212100122
41233323330000302310
53432122334230400
6131114232431112
711453305022633
oct1577374006264
9374208385318
10120190930100
1146a7771279a
121b363848498
13b445917267
145b6284751a
1531d6b1c685
hex1bfbf00cb4

120190930100 has 72 divisors (see below), whose sum is σ = 267375886848. Its totient is φ = 46868627200.

The previous prime is 120190930073. The next prime is 120190930103. The reversal of 120190930100 is 1039091021.

It is a self number, because there is not a number n which added to its sum of digits gives 120190930100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120190930103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5840429 + ... + 5860971.

It is an arithmetic number, because the mean of its divisors is an integer number (3713553984).

Almost surely, 2120190930100 is an apocalyptic number.

120190930100 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 120190930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133687943424).

120190930100 is an abundant number, since it is smaller than the sum of its proper divisors (147184956748).

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

120190930100 is a wasteful number, since it uses less digits than its factorization.

120190930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22025 (or 22018 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 120190930100 in words is "one hundred twenty billion, one hundred ninety million, nine hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1427 2050 2854 4100 5708 7135 14270 20543 28540 35675 41086 58507 71350 82172 102715 117014 142700 205430 234028 292535 410860 513575 585070 842263 1027150 1170140 1462675 1684526 2054300 2925350 3369052 4211315 5850700 8422630 16845260 21056575 29314861 42113150 58629722 84226300 117259444 146574305 293148610 586297220 732871525 1201909301 1465743050 2403818602 2931486100 4807637204 6009546505 12019093010 24038186020 30047732525 60095465050 120190930100