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13113101032020 = 22325116622778299
BaseRepresentation
bin1011111011010010000110…
…1110101001101001010100
31201102121012120001020212100
42332310201232221221110
53204321112331011040
643520024144122100
72522250603455463
oct276644156515124
951377176036770
1013113101032020
1141a6264747090
1215794a7006330
13741738781cc2
1433496add09da
1517b17db2db30
hexbed21ba9a54

13113101032020 has 72 divisors (see below), whose sum is σ = 43392443421600. Its totient is φ = 3178933583040.

The previous prime is 13113101032019. The next prime is 13113101032117. The reversal of 13113101032020 is 2023010131131.

13113101032020 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 310 + 10 + 320 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13113101031984 and 13113101032002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3311387170 + ... + 3311391129.

It is an arithmetic number, because the mean of its divisors is an integer number (602672825300).

Almost surely, 213113101032020 is an apocalyptic number.

13113101032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113101032020 is an abundant number, since it is smaller than the sum of its proper divisors (30279342389580).

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

13113101032020 is a wasteful number, since it uses less digits than its factorization.

13113101032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622778325 (or 6622778320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13113101032020 its reverse (2023010131131), we get a palindrome (15136111163151).

The spelling of 13113101032020 in words is "thirteen trillion, one hundred thirteen billion, one hundred one million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6622778299 13245556598 19868334897 26491113196 33113891495 39736669794 59605004691 66227782990 72850561289 79473339588 99341674485 119210009382 132455565980 145701122578 198683348970 218551683867 238420018764 291402245156 298025023455 364252806445 397366697940 437103367734 596050046910 655655051601 728505612890 874206735468 1092758419335 1192100093820 1311310103202 1457011225780 2185516838670 2622620206404 3278275258005 4371033677340 6556550516010 13113101032020