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103222021320 = 2332511374331627
BaseRepresentation
bin110000000100010000…
…0110000110011001000
3100212102201102222120200
41200020200300303020
53142344314140240
6115230342052200
710312636463445
oct1401040606310
9325381388520
10103222021320
113a85a15a440
1218008a1a060
1399701bb732
144dd2d3c9cc
152a42037930
hex1808830cc8

103222021320 has 384 divisors, whose sum is σ = 376959623040. Its totient is φ = 24276049920.

The previous prime is 103222021303. The next prime is 103222021337. The reversal of 103222021320 is 23120222301.

103222021320 is a `hidden beast` number, since 1 + 0 + 322 + 2 + 0 + 21 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (103222021303) and next prime (103222021337).

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 = 103222021293 and 103222021302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63442347 + ... + 63443973.

It is an arithmetic number, because the mean of its divisors is an integer number (981665685).

Almost surely, 2103222021320 is an apocalyptic number.

103222021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103222021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188479811520).

103222021320 is an abundant number, since it is smaller than the sum of its proper divisors (273737601720).

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

103222021320 is a wasteful number, since it uses less digits than its factorization.

103222021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103222021320 its reverse (23120222301), we get a palindrome (126342243621).

The spelling of 103222021320 in words is "one hundred three billion, two hundred twenty-two million, twenty-one thousand, three hundred twenty".