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103405235232 = 253131723920393
BaseRepresentation
bin110000001001101101…
…1101010110000100000
3100212220111012012211010
41200103123222300200
53143233220011412
6115300445020520
710320322666005
oct1402333526040
9325814165733
10103405235232
113a9436177a2
121805a254740
13999c149430
14500d3d18ac
152a5317833c
hex18136eac20

103405235232 has 192 divisors, whose sum is σ = 310824138240. Its totient is φ = 29818650624.

The previous prime is 103405235203. The next prime is 103405235237. The reversal of 103405235232 is 232532504301.

It is a self number, because there is not a number n which added to its sum of digits gives 103405235232.

It is not an unprimeable number, because it can be changed into a prime (103405235237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5060428 + ... + 5080820.

It is an arithmetic number, because the mean of its divisors is an integer number (1618875720).

Almost surely, 2103405235232 is an apocalyptic number.

103405235232 is a gapful number since it is divisible by the number (12) 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 103405235232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155412069120).

103405235232 is an abundant number, since it is smaller than the sum of its proper divisors (207418903008).

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

103405235232 is a wasteful number, since it uses less digits than its factorization.

103405235232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20675 (or 20667 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 103405235232 its reverse (232532504301), we get a palindrome (335937739533).

The spelling of 103405235232 in words is "one hundred three billion, four hundred five million, two hundred thirty-five thousand, two hundred thirty-two".