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120113110132312 = 231125091439169409
BaseRepresentation
bin11011010011111000000011…
…010000110010011001011000
3120202021200221011110002210011
4123103320003100302121120
5111220413122143213222
61103243111231331304
734204612561352563
oct3323700320623130
9522250834402704
10120113110132312
11352a9758366800
121157a885680b34
13520380508b74b
1421937113274da
15dd463e7e8c77
hex6d3e03432658

120113110132312 has 96 divisors (see below), whose sum is σ = 248207334480000. Its totient is φ = 54451417518080.

The previous prime is 120113110132297. The next prime is 120113110132333. The reversal of 120113110132312 is 213231011311021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708927864 + ... + 709097272.

It is an arithmetic number, because the mean of its divisors is an integer number (2585493067500).

Almost surely, 2120113110132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120113110132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124103667240000).

120113110132312 is an abundant number, since it is smaller than the sum of its proper divisors (128094224347688).

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

120113110132312 is a wasteful number, since it uses less digits than its factorization.

120113110132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171385 (or 171370 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 120113110132312 its reverse (213231011311021), we get a palindrome (333344121443333).

The spelling of 120113110132312 in words is "one hundred twenty trillion, one hundred thirteen billion, one hundred ten million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 509 968 1018 1439 2036 2878 4072 5599 5756 11198 11512 15829 22396 31658 44792 61589 63316 123178 126632 169409 174119 246356 338818 348238 492712 677636 696476 732451 1355272 1392952 1464902 1863499 2929804 3726998 5859608 7453996 8056961 14907992 16113922 20498489 32227844 40996978 64455688 81993956 86229181 88626571 163987912 172458362 177253142 243779551 344916724 354506284 487559102 689833448 709012568 948520991 975118204 1897041982 1950236408 2681575061 3794083964 5363150122 7588167928 10433730901 10726300244 20867461802 21452600488 29497325671 41734923604 58994651342 83469847208 117989302684 124083791459 235978605368 248167582918 496335165836 992670331672 1364921706049 2729843412098 5459686824196 10919373648392 15014138766539 30028277533078 60056555066156 120113110132312