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13124114112 = 263195476577
BaseRepresentation
bin11000011100100001…
…00001011011000000
31020212122100002000110
430032100201123000
5203334233122422
610010143151320
7643141062234
oct141620413300
936778302013
1013124114112
1156252471aa
1226632a5540
1313120093c5
148c70365c4
1551c2bb60c
hex30e4216c0

13124114112 has 112 divisors (see below), whose sum is σ = 36624199040. Its totient is φ = 4136251392.

The previous prime is 13124114077. The next prime is 13124114141. The reversal of 13124114112 is 21141142131.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992168 + ... + 1998744.

Almost surely, 213124114112 is an apocalyptic number.

13124114112 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 13124114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312099520).

13124114112 is an abundant number, since it is smaller than the sum of its proper divisors (23500084928).

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

13124114112 is a wasteful number, since it uses less digits than its factorization.

13124114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7148 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 13124114112 its reverse (21141142131), we get a palindrome (34265256243).

The spelling of 13124114112 in words is "thirteen billion, one hundred twenty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 547 608 912 1094 1216 1641 1824 2188 3282 3648 4376 6564 6577 8752 10393 13128 13154 17504 19731 20786 26256 26308 31179 35008 39462 41572 52512 52616 62358 78924 83144 105024 105232 124716 124963 157848 166288 210464 249432 249926 315696 332576 374889 420928 498864 499852 631392 665152 749778 997728 999704 1262784 1499556 1995456 1999408 2999112 3597619 3998816 5998224 7195238 7997632 10792857 11996448 14390476 21585714 23992896 28780952 43171428 57561904 68354761 86342856 115123808 136709522 172685712 205064283 230247616 273419044 345371424 410128566 546838088 690742848 820257132 1093676176 1640514264 2187352352 3281028528 4374704704 6562057056 13124114112