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104520432312 = 2332731812607
BaseRepresentation
bin110000101010111100…
…1110011101010111000
3100222210012122002121200
41201111321303222320
53203024212313222
6120003243334200
710360054005312
oct1412571635270
9328705562550
10104520432312
114036607187a
121830b821360
139b191bb36a
1450b75687b2
152abb011eac
hex1855e73ab8

104520432312 has 144 divisors (see below), whose sum is σ = 289023433920. Its totient is φ = 34116733440.

The previous prime is 104520432301. The next prime is 104520432343. The reversal of 104520432312 is 213234025401.

104520432312 is a `hidden beast` number, since 104 + 520 + 4 + 3 + 2 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172191513 + ... + 172192119.

It is an arithmetic number, because the mean of its divisors is an integer number (2007107180).

Almost surely, 2104520432312 is an apocalyptic number.

104520432312 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 104520432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144511716960).

104520432312 is an abundant number, since it is smaller than the sum of its proper divisors (184503001608).

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

104520432312 is a wasteful number, since it uses less digits than its factorization.

104520432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104520432312 its reverse (213234025401), we get a palindrome (317754457713).

The spelling of 104520432312 in words is "one hundred four billion, five hundred twenty million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 181 219 292 362 438 543 584 607 657 724 876 1086 1214 1314 1448 1629 1752 1821 2172 2428 2628 3258 3642 4344 4856 5256 5463 6516 7284 10926 13032 13213 14568 21852 26426 32761 39639 43704 44311 52852 65522 79278 88622 98283 105704 109867 118917 131044 132933 158556 177244 196566 219734 237834 262088 265866 294849 317112 329601 354488 393132 398799 439468 475668 531732 589698 659202 786264 797598 878936 951336 988803 1063464 1179396 1318404 1595196 1977606 2358792 2391553 2636808 3190392 3955212 4783106 7174659 7910424 8020291 9566212 14349318 16040582 19132424 19885927 21523977 24060873 28698636 32081164 39771854 43047954 48121746 57397272 59657781 64162328 72182619 79543708 86095908 96243492 119315562 144365238 159087416 172191816 178973343 192486984 238631124 288730476 357946686 477262248 577460952 715893372 1431786744 1451672671 2903345342 4355018013 5806690684 8710036026 11613381368 13065054039 17420072052 26130108078 34840144104 52260216156 104520432312