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104114134212 = 2231117101459373
BaseRepresentation
bin110000011110110101…
…1111001110011000100
3100221201220010000101220
41200331223321303010
53201211204243322
6115455051120340
710344021352614
oct1407553716304
9327656100356
10104114134212
1140177795020
12182177430b0
139a82c8319a
145079604a44
152a9550755c
hex183daf9cc4

104114134212 has 96 divisors (see below), whose sum is σ = 283385983104. Its totient is φ = 29399808000.

The previous prime is 104114134193. The next prime is 104114134219. The reversal of 104114134212 is 212431411401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104114134219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043 + ... + 456330.

It is an arithmetic number, because the mean of its divisors is an integer number (2951937324).

Almost surely, 2104114134212 is an apocalyptic number.

104114134212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104114134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141692991552).

104114134212 is an abundant number, since it is smaller than the sum of its proper divisors (179271848892).

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

104114134212 is a wasteful number, since it uses less digits than its factorization.

104114134212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459509 (or 459507 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 104114134212 its reverse (212431411401), we get a palindrome (316545545613).

The spelling of 104114134212 in words is "one hundred four billion, one hundred fourteen million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 303 374 404 561 606 748 1111 1122 1212 1717 2222 2244 3333 3434 4444 5151 6666 6868 10302 13332 18887 20604 37774 56661 75548 113322 226644 459373 918746 1378119 1837492 2756238 5053103 5512476 7809341 10106206 15159309 15618682 20212412 23428023 30318618 31237364 46396673 46856046 60637236 85902751 92793346 93712092 139190019 171805502 185586692 257708253 278380038 343611004 510363403 515416506 556760076 788743441 1020726806 1030833012 1531090209 1577486882 2041453612 2366230323 3062180418 3154973764 4732460646 6124360836 8676177851 9464921292 17352355702 26028533553 34704711404 52057067106 104114134212