Search a number
-
+
107130321300 = 223521489123981
BaseRepresentation
bin110001111000101110…
…1101111100110010100
3101020112002121012020210
41203301131233212110
53223400330240200
6121114234325420
710511534464152
oct1436135574624
9336462535223
10107130321300
1141485301022
1218919889870
13a143b14482
1452840223d2
152bc01e7650
hex18f176f994

107130321300 has 72 divisors (see below), whose sum is σ = 309997471392. Its totient is φ = 28564976000.

The previous prime is 107130321283. The next prime is 107130321307. The reversal of 107130321300 is 3123031701.

It is a super-2 number, since 2×1071303213002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107130321307) 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, 4455310 + ... + 4479290.

It is an arithmetic number, because the mean of its divisors is an integer number (4305520436).

Almost surely, 2107130321300 is an apocalyptic number.

107130321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107130321300 is an abundant number, since it is smaller than the sum of its proper divisors (202867150092).

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

107130321300 is a wasteful number, since it uses less digits than its factorization.

107130321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38889 (or 38882 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The spelling of 107130321300 in words is "one hundred seven billion, one hundred thirty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 14891 23981 29782 44673 47962 59564 71943 74455 89346 95924 119905 143886 148910 178692 223365 239810 287772 297820 359715 372275 446730 479620 599525 719430 744550 893460 1116825 1199050 1438860 1489100 1798575 2233650 2398100 3597150 4467300 7194300 357101071 714202142 1071303213 1428404284 1785505355 2142606426 3571010710 4285212852 5356516065 7142021420 8927526775 10713032130 17855053550 21426064260 26782580325 35710107100 53565160650 107130321300