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1013300231220 = 2232543113061359
BaseRepresentation
bin11101011111011010110…
…01100111110000110100
310120212111122011011202100
432233231121213300310
5113100214324344340
62053300444342100
7133131344565234
oct16575531476064
93525448134670
101013300231220
11360813622522
12144474244930
1374727919644
1437088a05cc4
151b559220830
hexebed667c34

1013300231220 has 72 divisors (see below), whose sum is σ = 3080809105920. Its totient is φ = 269586429120.

The previous prime is 1013300231197. The next prime is 1013300231227. The reversal of 1013300231220 is 221320033101.

1013300231220 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 0 + 2 + 312 + 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 = 1013300231193 and 1013300231202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013300231227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6453100 + ... + 6608259.

It is an arithmetic number, because the mean of its divisors is an integer number (42789015360).

Almost surely, 21013300231220 is an apocalyptic number.

1013300231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013300231220 is an abundant number, since it is smaller than the sum of its proper divisors (2067508874700).

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

1013300231220 is a wasteful number, since it uses less digits than its factorization.

1013300231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061805 (or 13061800 counting only the distinct ones).

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

Adding to 1013300231220 its reverse (221320033101), we get a palindrome (1234620264321).

The spelling of 1013300231220 in words is "one trillion, thirteen billion, three hundred million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 431 862 1293 1724 2155 2586 3879 4310 5172 6465 7758 8620 12930 15516 19395 25860 38790 77580 13061359 26122718 39184077 52245436 65306795 78368154 117552231 130613590 156736308 195920385 235104462 261227180 391840770 470208924 587761155 783681540 1175522310 2351044620 5629445729 11258891458 16888337187 22517782916 28147228645 33776674374 50665011561 56294457290 67553348748 84441685935 101330023122 112588914580 168883371870 202660046244 253325057805 337766743740 506650115610 1013300231220