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13113230010100 = 225211109310906787
BaseRepresentation
bin1011111011010010100101…
…1010101010011011110100
31201102121112112202000112021
42332310221122222123310
53204321343340310400
643520045032402524
72522254030662043
oct276645132523364
951377475660467
1013113230010100
1141a6320530240
121579522246444
137417594005ac
143349801a655a
1517b18a10971a
hexbed296aa6f4

13113230010100 has 72 divisors (see below), whose sum is σ = 31070995891488. Its totient is φ = 4764084124800.

The previous prime is 13113230010091. The next prime is 13113230010103. The reversal of 13113230010100 is 101003231131.

It is a super-3 number, since 3×131132300101003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113230010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4251094 + ... + 6655693.

It is an arithmetic number, because the mean of its divisors is an integer number (431541609604).

Almost surely, 213113230010100 is an apocalyptic number.

13113230010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113230010100 is an abundant number, since it is smaller than the sum of its proper divisors (17957765881388).

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

13113230010100 is a wasteful number, since it uses less digits than its factorization.

13113230010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907905 (or 10907898 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13113230010100 its reverse (101003231131), we get a palindrome (13214233241231).

The spelling of 13113230010100 in words is "thirteen trillion, one hundred thirteen billion, two hundred thirty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1093 1100 2186 4372 5465 10930 12023 21860 24046 27325 48092 54650 60115 109300 120230 240460 300575 601150 1202300 10906787 21813574 43627148 54533935 109067870 119974657 218135740 239949314 272669675 479898628 545339350 599873285 1090678700 1199746570 2399493140 2999366425 5998732850 11921118191 11997465700 23842236382 47684472764 59605590955 119211181910 131132300101 238422363820 262264600202 298027954775 524529200404 596055909550 655661500505 1192111819100 1311323001010 2622646002020 3278307502525 6556615005050 13113230010100