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13100112332000 = 25535741570463
BaseRepresentation
bin1011111010100001101110…
…0010101100010011100000
31201101100200100111221001122
42332220123202230103200
53204113012224111000
643510035235151412
72521310665363421
oct276503342542340
951340610457048
1013100112332000
1141a07a998a561
121576a81145568
137404488387a5
14334097d67648
1517ab6d6b0085
hexbea1b8ac4e0

13100112332000 has 96 divisors (see below), whose sum is σ = 32192638942464. Its totient is φ = 5239123008000.

The previous prime is 13100112331987. The next prime is 13100112332023. The reversal of 13100112332000 is 23321100131.

It is a super-2 number, since 2×131001123320002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13100112332000.

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, 22678769 + ... + 23249231.

It is an arithmetic number, because the mean of its divisors is an integer number (335339988984).

Almost surely, 213100112332000 is an apocalyptic number.

13100112332000 is a gapful number since it is divisible by the number (10) 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 13100112332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096319471232).

13100112332000 is an abundant number, since it is smaller than the sum of its proper divisors (19092526610464).

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

13100112332000 is an equidigital number, since it uses as much as digits as its factorization.

13100112332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576229 (or 576211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13100112332000 its reverse (23321100131), we get a palindrome (13123433432131).

The spelling of 13100112332000 in words is "thirteen trillion, one hundred billion, one hundred twelve million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5741 11482 22964 28705 45928 57410 91856 114820 143525 183712 229640 287050 459280 570463 574100 717625 918560 1140926 1148200 1435250 2281852 2296400 2852315 2870500 4563704 4592800 5704630 5741000 9127408 11409260 11482000 14261575 18254816 22818520 22964000 28523150 45637040 57046300 71307875 91274080 114092600 142615750 228185200 285231500 456370400 570463000 1140926000 2281852000 3275028083 6550056166 13100112332 16375140415 26200224664 32750280830 52400449328 65500561660 81875702075 104800898656 131001123320 163751404150 262002246640 327502808300 409378510375 524004493280 655005616600 818757020750 1310011233200 1637514041500 2620022466400 3275028083000 6550056166000 13100112332000