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120010323114 = 233111297155773
BaseRepresentation
bin110111111000100101…
…1000011010010101010
3102110202201121002011000
41233301023003102222
53431240120314424
6131044301415430
711445652625643
oct1576113032252
9373681532130
10120010323114
1146994776020
121b31326a576
13b417390016
145b468726ca
1531c5d443c9
hex1bf12c34aa

120010323114 has 64 divisors (see below), whose sum is σ = 291160298880. Its totient is φ = 36338492160.

The previous prime is 120010323071. The next prime is 120010323127. The reversal of 120010323114 is 411323010021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692532 + ... + 848304.

It is an arithmetic number, because the mean of its divisors is an integer number (4549379670).

Almost surely, 2120010323114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010323114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145580149440).

120010323114 is an abundant number, since it is smaller than the sum of its proper divisors (171149975766).

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

120010323114 is a wasteful number, since it uses less digits than its factorization.

120010323114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157092 (or 157086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120010323114 its reverse (411323010021), we get a palindrome (531333333135).

The spelling of 120010323114 in words is "one hundred twenty billion, ten million, three hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1297 2594 3891 7782 11673 14267 23346 28534 35019 42801 70038 85602 128403 155773 256806 311546 385209 467319 770418 934638 1401957 1713503 2803914 3427006 4205871 5140509 8411742 10281018 15421527 30843054 46264581 92529162 202037581 404075162 606112743 1212225486 1818338229 2222413391 3636676458 4444826782 5455014687 6667240173 10910029374 13334480346 20001720519 40003441038 60005161557 120010323114