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13300124033024 = 21329102154833
BaseRepresentation
bin1100000110001010110100…
…1010110010000000000000
31202002110221111211002100022
43001202231022302000000
53220402123223024044
644141554224113012
72541621320653253
oct301425512620000
952073844732308
1013300124033024
114268607312924
1215a97a0765768
137562723c383a
1433da2d81309a
15180e77b963ee
hexc18ad2b2000

13300124033024 has 112 divisors (see below), whose sum is σ = 27543270638520. Its totient is φ = 6414343864320.

The previous prime is 13300124032997. The next prime is 13300124033057. The reversal of 13300124033024 is 42033042100331.

It can be written as a sum of positive squares in 4 ways, for example, as 11888704000000 + 1411420033024 = 3448000^2 + 1188032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13300124032984 and 13300124033002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242529512 + ... + 242584344.

Almost surely, 213300124033024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300124033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771635319260).

13300124033024 is an abundant number, since it is smaller than the sum of its proper divisors (14243146605496).

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

13300124033024 is an equidigital number, since it uses as much as digits as its factorization.

13300124033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55909 (or 55885 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13300124033024 its reverse (42033042100331), we get a palindrome (55333166133355).

The spelling of 13300124033024 in words is "thirteen trillion, three hundred billion, one hundred twenty-four million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1021 1024 1856 2042 2048 3712 4084 4096 7424 8168 8192 14848 16336 29609 29696 32672 54833 59218 59392 65344 109666 118436 118784 130688 219332 236872 237568 261376 438664 473744 522752 877328 947488 1045504 1590157 1754656 1894976 2091008 3180314 3509312 3789952 4182016 6360628 7018624 7579904 8364032 12721256 14037248 15159808 25442512 28074496 30319616 50885024 55984493 56148992 60639232 101770048 111968986 112297984 121278464 203540096 223937972 224595968 242556928 407080192 447875944 449191936 814160384 895751888 1623550297 1628320768 1791503776 3247100594 3256641536 3583007552 6494201188 6513283072 7166015104 12988402376 13026566144 14332030208 25976804752 28664060416 51953609504 57328120832 103907219008 114656241664 207814438016 229312483328 415628876032 458624966656 831257752064 1662515504128 3325031008256 6650062016512 13300124033024