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103123310220 = 223357271100669
BaseRepresentation
bin110000000001010100…
…0001101011010001100
3100212011211200221102000
41200002220031122030
53142144031411340
6115212454232300
710310330450130
oct1400250153214
9325154627360
10103123310220
113a809469317
1217b9b955690
1399559097b8
144dc3ba53c0
152a38539d30
hex1802a0d68c

103123310220 has 192 divisors, whose sum is σ = 368017305600. Its totient is φ = 23483831040.

The previous prime is 103123310153. The next prime is 103123310233. The reversal of 103123310220 is 22013321301.

103123310220 is a `hidden beast` number, since 1 + 0 + 312 + 331 + 0 + 2 + 20 = 666.

It is a super-2 number, since 2×1031233102202 (a number of 23 digits) contains 22 as substring.

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 = 103123310193 and 103123310202.

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 63 ways as a sum of consecutive naturals, for example, 974046 + ... + 1074714.

It is an arithmetic number, because the mean of its divisors is an integer number (1916756800).

Almost surely, 2103123310220 is an apocalyptic number.

103123310220 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 103123310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184008652800).

103123310220 is an abundant number, since it is smaller than the sum of its proper divisors (264893995380).

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

103123310220 is a wasteful number, since it uses less digits than its factorization.

103123310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100965 (or 100957 counting only the distinct ones).

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

Adding to 103123310220 its reverse (22013321301), we get a palindrome (125136631521).

The spelling of 103123310220 in words is "one hundred three billion, one hundred twenty-three million, three hundred ten thousand, two hundred twenty".