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103221333020 = 225133112806617
BaseRepresentation
bin110000000100001111…
…0001000110000011100
3100212102200011000102002
41200020132020300130
53142344130124040
6115230315221432
710312630565651
oct1401036106034
9325380130362
10103221333020
113a85982a2a3
1218008747878
13997000a360
144dd2bddc28
152a41e4da15
hex1808788c1c

103221333020 has 48 divisors (see below), whose sum is σ = 240969324288. Its totient is φ = 36883054080.

The previous prime is 103221332993. The next prime is 103221333071. The reversal of 103221333020 is 20333122301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103221332983 and 103221333001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395249 + ... + 6411368.

It is an arithmetic number, because the mean of its divisors is an integer number (5020194256).

Almost surely, 2103221333020 is an apocalyptic number.

103221333020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103221333020 is an abundant number, since it is smaller than the sum of its proper divisors (137747991268).

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

103221333020 is a wasteful number, since it uses less digits than its factorization.

103221333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806670 (or 12806668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103221333020 its reverse (20333122301), we get a palindrome (123554455321).

The spelling of 103221333020 in words is "one hundred three billion, two hundred twenty-one million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 12806617 25613234 51226468 64033085 128066170 166486021 256132340 332972042 397005127 665944084 794010254 832430105 1588020508 1664860210 1985025635 3329720420 3970051270 5161066651 7940102540 10322133302 20644266604 25805333255 51610666510 103221333020