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12104632102024 = 23711171736681529
BaseRepresentation
bin1011000000100101010001…
…0010111110110010001000
31120212012011121211121110101
42300021110102332302020
53041310241304231044
641424442523055144
72356350032135440
oct260112422766210
946765147747411
1012104632102024
1139476002887a0
121435b609714b4
1369a600a792a7
142dbc1dcd5120
1515ed08b3ecd4
hexb02544bec88

12104632102024 has 128 divisors (see below), whose sum is σ = 30134234822400. Its totient is φ = 4413015613440.

The previous prime is 12104632101971. The next prime is 12104632102093. The reversal of 12104632102024 is 42020123640121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12104632101983 and 12104632102001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529109 + ... + 5152420.

It is an arithmetic number, because the mean of its divisors is an integer number (235423709550).

Almost surely, 212104632102024 is an apocalyptic number.

12104632102024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12104632102024 is an abundant number, since it is smaller than the sum of its proper divisors (18029602720376).

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

12104632102024 is a wasteful number, since it uses less digits than its factorization.

12104632102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681743 (or 6681739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12104632102024 its reverse (42020123640121), we get a palindrome (54124755742145).

The spelling of 12104632102024 in words is "twelve trillion, one hundred four billion, six hundred thirty-two million, one hundred two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 173 187 238 308 346 374 476 616 692 748 952 1211 1309 1384 1496 1903 2422 2618 2941 3806 4844 5236 5882 7612 9688 10472 11764 13321 15224 20587 23528 26642 32351 41174 53284 64702 82348 106568 129404 164696 226457 258808 452914 905828 1811656 6681529 13363058 26726116 46770703 53452232 73496819 93541406 113585993 146993638 187082812 227171986 293987276 374165624 454343972 514477733 587974552 795101951 908687944 1028955466 1155904517 1249445923 1590203902 2057910932 2311809034 2498891846 3180407804 4115821864 4623618068 4997783692 6360815608 8091331619 8746121461 9247236136 9995567384 12714949687 16182663238 17492242922 19650376789 25429899374 32365326476 34984485844 39300753578 50859798748 64730652952 69968971688 78601507156 89004647809 101719597496 137552637523 157203014312 178009295618 216154144679 275105275046 356018591236 432308289358 550210550092 712037182472 864616578716 1100421100184 1513079012753 1729233157432 3026158025506 6052316051012 12104632102024