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103121023320 = 233357219102559
BaseRepresentation
bin110000000001001111…
…1011111000101011000
3100212011200101202101000
41200002133133011120
53142142440221240
6115212333225000
710310302143600
oct1400237370530
9325150352330
10103121023320
113a808147117
1217b9b032160
1399552b88c3
144dc376bc00
152a38237430
hex18027df158

103121023320 has 384 divisors, whose sum is σ = 420906240000. Its totient is φ = 22329748224.

The previous prime is 103121023253. The next prime is 103121023349. The reversal of 103121023320 is 23320121301.

103121023320 is a `hidden beast` number, since 1 + 0 + 312 + 10 + 23 + 320 = 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 = 103121023293 and 103121023302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954201 + ... + 1056759.

It is an arithmetic number, because the mean of its divisors is an integer number (1096110000).

Almost surely, 2103121023320 is an apocalyptic number.

103121023320 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 103121023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210453120000).

103121023320 is an abundant number, since it is smaller than the sum of its proper divisors (317785216680).

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

103121023320 is a wasteful number, since it uses less digits than its factorization.

103121023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102612 (or 102595 counting only the distinct ones).

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

Adding to 103121023320 its reverse (23320121301), we get a palindrome (126441144621).

The spelling of 103121023320 in words is "one hundred three billion, one hundred twenty-one million, twenty-three thousand, three hundred twenty".