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13002010112 = 297131791559
BaseRepresentation
bin11000001101111101…
…01110111000000000
31020120010120112211002
430012332232320000
5203112003310422
65550102111132
7640126156010
oct140676567000
936503515732
1013002010112
115572328703
12262a41b4a8
1312c2926910
148b4b2dc40
155116ec692
hex306faee00

13002010112 has 160 divisors (see below), whose sum is σ = 32172940800. Its totient is φ = 5111635968.

The previous prime is 13002010067. The next prime is 13002010169. The reversal of 13002010112 is 21101020031.

It is a junction number, because it is equal to n+sod(n) for n = 13002010093 and 13002010102.

It is a congruent number.

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, 8339189 + ... + 8340747.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 213002010112 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 13002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

13002010112 is an abundant number, since it is smaller than the sum of its proper divisors (19170930688).

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

13002010112 is a wasteful number, since it uses less digits than its factorization.

13002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 13002010112 its reverse (21101020031), we get a palindrome (34103030143).

The spelling of 13002010112 in words is "thirteen billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 179 182 208 224 256 358 364 416 448 512 716 728 832 896 1253 1432 1456 1559 1664 1792 2327 2506 2864 2912 3118 3328 3584 4654 5012 5728 5824 6236 6656 9308 10024 10913 11456 11648 12472 16289 18616 20048 20267 21826 22912 23296 24944 32578 37232 40096 40534 43652 45824 46592 49888 65156 74464 80192 81068 87304 91648 99776 130312 141869 148928 160384 162136 174608 199552 260624 279061 283738 297856 320768 324272 349216 399104 521248 558122 567476 595712 641536 648544 698432 798208 1042496 1116244 1134952 1191424 1297088 1396864 1953427 2084992 2232488 2269904 2594176 2793728 3627793 3906854 4169984 4464976 4539808 5188352 5587456 7255586 7813708 8339968 8929952 9079616 10376704 14511172 15627416 17859904 18159232 25394551 29022344 31254832 35719808 36318464 50789102 58044688 62509664 71439616 72636928 101578204 116089376 125019328 142879232 203156408 232178752 250038656 406312816 464357504 500077312 812625632 928715008 1000154624 1625251264 1857430016 3250502528 6501005056 13002010112