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13133221020 = 22325587124297
BaseRepresentation
bin11000011101100110…
…10000110010011100
31020220021110202100100
430032303100302130
5203344101033040
610011110301100
7643311352053
oct141663206234
936807422310
1013133221020
11562a3a7377
122666357790
131313b775ca
148c832739a
1551ceb9b30
hex30ecd0c9c

13133221020 has 72 divisors (see below), whose sum is σ = 39905624304. Its totient is φ = 3496197888.

The previous prime is 13133220979. The next prime is 13133221033. The reversal of 13133221020 is 2012233131.

13133221020 is a `hidden beast` number, since 1 + 313 + 322 + 10 + 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 = 13133220984 and 13133221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43512 + ... + 167808.

It is an arithmetic number, because the mean of its divisors is an integer number (554244782).

Almost surely, 213133221020 is an apocalyptic number.

13133221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133221020 is an abundant number, since it is smaller than the sum of its proper divisors (26772403284).

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

13133221020 is a wasteful number, since it uses less digits than its factorization.

13133221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124899 (or 124894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13133221020 its reverse (2012233131), we get a palindrome (15145454151).

The spelling of 13133221020 in words is "thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 587 1174 1761 2348 2935 3522 5283 5870 7044 8805 10566 11740 17610 21132 26415 35220 52830 105660 124297 248594 372891 497188 621485 745782 1118673 1242970 1491564 1864455 2237346 2485940 3728910 4474692 5593365 7457820 11186730 22373460 72962339 145924678 218887017 291849356 364811695 437774034 656661051 729623390 875548068 1094435085 1313322102 1459246780 2188870170 2626644204 3283305255 4377740340 6566610510 13133221020