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111313013220 = 22325618405629
BaseRepresentation
bin110011110101011000…
…1011100100111100100
3101122022121001221220100
41213222301130213210
53310432112410340
6123045252104100
711020304000223
oct1475261344744
9348277057810
10111313013220
1143231326402
12196a6605030
13a65c5400c6
14555d730cba
152d67508830
hex19eac5c9e4

111313013220 has 36 divisors (see below), whose sum is σ = 337649473980. Its totient is φ = 29683470144.

The previous prime is 111313013197. The next prime is 111313013233. The reversal of 111313013220 is 22310313111.

111313013220 is a `hidden beast` number, since 1 + 11 + 31 + 301 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23502729636 + 87810283584 = 153306^2 + 296328^2 .

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 = 111313013193 and 111313013202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309202635 + ... + 309202994.

It is an arithmetic number, because the mean of its divisors is an integer number (9379152055).

Almost surely, 2111313013220 is an apocalyptic number.

111313013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111313013220 is an abundant number, since it is smaller than the sum of its proper divisors (226336460760).

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

111313013220 is a wasteful number, since it uses less digits than its factorization.

111313013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618405644 (or 618405639 counting only the distinct ones).

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

Adding to 111313013220 its reverse (22310313111), we get a palindrome (133623326331).

The spelling of 111313013220 in words is "one hundred eleven billion, three hundred thirteen million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 618405629 1236811258 1855216887 2473622516 3092028145 3710433774 5565650661 6184056290 7420867548 9276084435 11131301322 12368112580 18552168870 22262602644 27828253305 37104337740 55656506610 111313013220