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103203312120 = 233255918112683
BaseRepresentation
bin110000000011101100…
…1011001000111111000
3100212101102020110101100
41200013121121013320
53142330021441440
6115224433051400
710312321451616
oct1400731310770
9325342213340
10103203312120
113a84a640997
12180026b6b60
13996936a9bc
144dd066c6b6
152a4058e230
hex18076591f8

103203312120 has 192 divisors, whose sum is σ = 341411241600. Its totient is φ = 27029410560.

The previous prime is 103203312083. The next prime is 103203312127. The reversal of 103203312120 is 21213302301.

103203312120 is a `hidden beast` number, since 1 + 0 + 320 + 331 + 2 + 12 + 0 = 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 = 103203312093 and 103203312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103203312127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38464299 + ... + 38466981.

It is an arithmetic number, because the mean of its divisors is an integer number (1778183550).

Almost surely, 2103203312120 is an apocalyptic number.

103203312120 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 103203312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170705620800).

103203312120 is an abundant number, since it is smaller than the sum of its proper divisors (238207929480).

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

103203312120 is a wasteful number, since it uses less digits than its factorization.

103203312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4563 counting only the distinct ones).

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

Adding to 103203312120 its reverse (21213302301), we get a palindrome (124416614421).

The spelling of 103203312120 in words is "one hundred three billion, two hundred three million, three hundred twelve thousand, one hundred twenty".