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1013102220 = 2235131298849
BaseRepresentation
bin111100011000101…
…011011010001100
32121121022220222110
4330120223122030
54033323232340
6244310144020
734051140534
oct7430533214
92547286873
101013102220
1147a962769
12243352010
13131b76a90
149879c4c4
155de1d680
hex3c62b68c

1013102220 has 48 divisors (see below), whose sum is σ = 3054895200. Its totient is φ = 249378816.

The previous prime is 1013102201. The next prime is 1013102221. The reversal of 1013102220 is 222013101.

1013102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10131022202 = 2052752216337856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013102196 and 1013102205.

It is not an unprimeable number, because it can be changed into a prime (1013102221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648645 + ... + 650204.

It is an arithmetic number, because the mean of its divisors is an integer number (63643650).

Almost surely, 21013102220 is an apocalyptic number.

1013102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013102220 is an abundant number, since it is smaller than the sum of its proper divisors (2041792980).

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

1013102220 is a wasteful number, since it uses less digits than its factorization.

1013102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298874 (or 1298872 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1013102220 is about 31829.2667210541. The cubic root of 1013102220 is about 1004.3484700661.

Adding to 1013102220 its reverse (222013101), we get a palindrome (1235115321).

The spelling of 1013102220 in words is "one billion, thirteen million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1298849 2597698 3896547 5195396 6494245 7793094 12988490 15586188 16885037 19482735 25976980 33770074 38965470 50655111 67540148 77930940 84425185 101310222 168850370 202620444 253275555 337700740 506551110 1013102220