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13111200010020 = 2235743725980067
BaseRepresentation
bin1011111011001011000001…
…1010110100111100100100
31201102102022001221022221010
42332302300122310330210
53204303214200310040
643515111354422220
72522152521161340
oct276626032647444
951372261838833
1013111200010020
1141a5479663122
121579056431970
137414c4981208
1433482a73c620
1517b0bbcbce80
hexbecb06b4f24

13111200010020 has 96 divisors (see below), whose sum is σ = 42931557301248. Its totient is φ = 2927151626112.

The previous prime is 13111200010001. The next prime is 13111200010033. The reversal of 13111200010020 is 2001000211131.

It is a super-3 number, since 3×131112000100203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13111200009978 and 13111200010005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362971974 + ... + 363008093.

It is an arithmetic number, because the mean of its divisors is an integer number (447203721888).

Almost surely, 213111200010020 is an apocalyptic number.

13111200010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111200010020 is an abundant number, since it is smaller than the sum of its proper divisors (29820357291228).

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

13111200010020 is a wasteful number, since it uses less digits than its factorization.

13111200010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725980129 (or 725980127 counting only the distinct ones).

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

Adding to 13111200010020 its reverse (2001000211131), we get a palindrome (15112200221151).

The spelling of 13111200010020 in words is "thirteen trillion, one hundred eleven billion, two hundred million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 725980067 1451960134 2177940201 2903920268 3629900335 4355880402 5081860469 7259800670 8711760804 10163720938 10889701005 14519601340 15245581407 20327441876 21779402010 25409302345 30491162814 31217142881 43558804020 50818604690 60982325628 62434285762 76227907035 93651428643 101637209380 124868571524 152455814070 156085714405 187302857286 218520000167 304911628140 312171428810 374605714572 437040000334 468257143215 624342857620 655560000501 874080000668 936514286430 1092600000835 1311120001002 1873028572860 2185200001670 2622240002004 3277800002505 4370400003340 6555600005010 13111200010020