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1320131113020 = 2232519138398229
BaseRepresentation
bin10011001101011101111…
…100100011000000111100
311200012111012120221201200
4103031131330203000330
5133112112031104040
62450243155135500
7164243036213106
oct23153574430074
94605435527650
101320131113020
11469956663385
12193a252a4590
13976459ba335
1447c75040576
152451643e630
hex1335df2303c

1320131113020 has 72 divisors (see below), whose sum is σ = 4025363247360. Its totient is φ = 350191839360.

The previous prime is 1320131112959. The next prime is 1320131113031. The reversal of 1320131113020 is 203111310231.

1320131113020 is a `hidden beast` number, since 1 + 3 + 201 + 311 + 130 + 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 = 1320131112984 and 1320131113002.

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, 19164735 + ... + 19233494.

It is an arithmetic number, because the mean of its divisors is an integer number (55907822880).

Almost surely, 21320131113020 is an apocalyptic number.

1320131113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320131113020 is an abundant number, since it is smaller than the sum of its proper divisors (2705232134340).

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

1320131113020 is a wasteful number, since it uses less digits than its factorization.

1320131113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38398435 (or 38398430 counting only the distinct ones).

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

Adding to 1320131113020 its reverse (203111310231), we get a palindrome (1523242423251).

The spelling of 1320131113020 in words is "one trillion, three hundred twenty billion, one hundred thirty-one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 38398229 76796458 115194687 153592916 191991145 230389374 345584061 383982290 460778748 575973435 691168122 767964580 1151946870 1382336244 1727920305 2303893740 3455840610 6911681220 7334061739 14668123478 22002185217 29336246956 36670308695 44004370434 66006555651 73340617390 88008740868 110010926085 132013111302 146681234780 220021852170 264026222604 330032778255 440043704340 660065556510 1320131113020