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103212322140 = 223537671036737
BaseRepresentation
bin110000000011111101…
…1110000110101011100
3100212102001012012210210
41200013323300311130
53142334323302030
6115225354132420
710312461156114
oct1400773606534
9325361165723
10103212322140
113a854735294
1218005721110
13996b1a3a85
144dd1936044
152a4126dbb0
hex1807ef0d5c

103212322140 has 192 divisors, whose sum is σ = 304204852224. Its totient is φ = 26119729152.

The previous prime is 103212322061. The next prime is 103212322159. The reversal of 103212322140 is 41223212301.

It is a super-2 number, since 2×1032123221402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15316852 + ... + 15323588.

It is an arithmetic number, because the mean of its divisors is an integer number (1584400272).

Almost surely, 2103212322140 is an apocalyptic number.

103212322140 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 103212322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152102426112).

103212322140 is an abundant number, since it is smaller than the sum of its proper divisors (200992530084).

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

103212322140 is a wasteful number, since it uses less digits than its factorization.

103212322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103212322140 its reverse (41223212301), we get a palindrome (144435534441).

The spelling of 103212322140 in words is "one hundred three billion, two hundred twelve million, three hundred twenty-two thousand, one hundred forty".