Search a number
-
+
120113303130 = 232537358310067
BaseRepresentation
bin110111111011101001…
…1111000111001011010
3102111000220101000011200
41233313103320321122
53431443001200010
6131102420535030
711451343142142
oct1576723707132
9374026330150
10120113303130
1146a37912477
121b341851476
13b432808042
145b563db922
1531cedd6cc0
hex1bf74f8e5a

120113303130 has 96 divisors (see below), whose sum is σ = 320856367104. Its totient is φ = 31152739968.

The previous prime is 120113303077. The next prime is 120113303227. The reversal of 120113303130 is 31303311021.

It is a happy number.

120113303130 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 330 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11926357 + ... + 11936423.

It is an arithmetic number, because the mean of its divisors is an integer number (3342253824).

Almost surely, 2120113303130 is an apocalyptic number.

120113303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120113303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160428183552).

120113303130 is an abundant number, since it is smaller than the sum of its proper divisors (200743063974).

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

120113303130 is a wasteful number, since it uses less digits than its factorization.

120113303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120113303130 its reverse (31303311021), we get a palindrome (151416614151).

The spelling of 120113303130 in words is "one hundred twenty billion, one hundred thirteen million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3583 7166 10067 10749 17915 20134 21498 30201 32247 35830 50335 53745 60402 64494 90603 100670 107490 132571 151005 161235 181206 265142 302010 322470 372479 397713 453015 662855 744958 795426 906030 1117437 1193139 1325710 1862395 1988565 2234874 2386278 3352311 3724790 3977130 5587185 5965695 6704622 11174370 11931390 16761555 33523110 36070061 72140122 108210183 180350305 216420366 324630549 360700610 541050915 649261098 1082101830 1334592257 1623152745 2669184514 3246305490 4003776771 6672961285 8007553542 12011330313 13345922570 20018883855 24022660626 40037767710 60056651565 120113303130