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120104102141334 = 23292931391351607
BaseRepresentation
bin11011010011101111101010…
…010110000001110110010110
3120202020211200101022202012200
4123103233222112001312112
5111220241200122010314
61103235021323025330
734204143420610323
oct3323575226016626
9522224611282180
10120104102141334
11352a5955607863
1211578b9096b246
1352029caa7117c
1421930d8c31b4a
15dd42b3a8e709
hex6d3bea581d96

120104102141334 has 48 divisors (see below), whose sum is σ = 260277306093792. Its totient is φ = 40026739849344.

The previous prime is 120104102141329. The next prime is 120104102141339. The reversal of 120104102141334 is 433141201401021.

It is a happy number.

120104102141334 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 410 + 214 + 1 + 3 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (120104102141329) and next prime (120104102141339).

It is a super-2 number, since 2×1201041021413342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120104102141298 and 120104102141307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120104102141339) 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, 2327257359 + ... + 2327308965.

It is an arithmetic number, because the mean of its divisors is an integer number (5422443876954).

Almost surely, 2120104102141334 is an apocalyptic number.

120104102141334 is an abundant number, since it is smaller than the sum of its proper divisors (140173203952458).

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

120104102141334 is a wasteful number, since it uses less digits than its factorization.

120104102141334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74821 (or 74818 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 120104102141334 its reverse (433141201401021), we get a palindrome (553245303542355).

The spelling of 120104102141334 in words is "one hundred twenty trillion, one hundred four billion, one hundred two million, one hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 9293 13913 18586 27826 27879 41739 51607 55758 83478 83637 103214 125217 154821 167274 250434 309642 464463 928926 129293509 258587018 387880527 479583851 718008191 775761054 959167702 1163641581 1436016382 1438751553 2154024573 2327283162 2877503106 4308049146 4316254659 6462073719 8632509318 12924147438 6672450118963 13344900237926 20017350356889 40034700713778 60052051070667 120104102141334