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13311140011020 = 2232573950777839
BaseRepresentation
bin1100000110110011110111…
…0001011001110000001100
31202010112101020022202021100
43001230331301121300030
53221042203320323040
644151015302503100
72542461313144215
oct301547561316014
952115336282240
1013311140011020
11427224a574175
1215ab955a34a90
13757309723a07
1434039688240c
151813bed3eb30
hexc1b3dc59c0c

13311140011020 has 36 divisors (see below), whose sum is σ = 40377124700640. Its totient is φ = 3549637336224.

The previous prime is 13311140011007. The next prime is 13311140011027. The reversal of 13311140011020 is 2011004111331.

It is a happy number.

13311140011020 is a `hidden beast` number, since 133 + 1 + 1 + 1 + 400 + 110 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13311140010984 and 13311140011002.

It is not an unprimeable number, because it can be changed into a prime (13311140011027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36975388740 + ... + 36975389099.

It is an arithmetic number, because the mean of its divisors is an integer number (1121586797240).

Almost surely, 213311140011020 is an apocalyptic number.

13311140011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311140011020 is an abundant number, since it is smaller than the sum of its proper divisors (27065984689620).

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

13311140011020 is a wasteful number, since it uses less digits than its factorization.

13311140011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73950777854 (or 73950777849 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13311140011020 its reverse (2011004111331), we get a palindrome (15322144122351).

The spelling of 13311140011020 in words is "thirteen trillion, three hundred eleven billion, one hundred forty million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 73950777839 147901555678 221852333517 295803111356 369753889195 443704667034 665557000551 739507778390 887409334068 1109261667585 1331114001102 1479015556780 2218523335170 2662228002204 3327785002755 4437046670340 6655570005510 13311140011020