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103201230000 = 24354112313597
BaseRepresentation
bin110000000011101000…
…1011100110010110000
3100212101021022200020210
41200013101130302300
53142324003330000
6115224320304120
710312264660401
oct1400721346260
9325337280223
10103201230000
113a849449630
1218001a72040
139968abc08b
144dd02899a8
152a402cc350
hex180745ccb0

103201230000 has 400 divisors, whose sum is σ = 379262797056. Its totient is φ = 23928960000.

The previous prime is 103201229969. The next prime is 103201230031. The reversal of 103201230000 is 32102301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103201229969) and next prime (103201230031).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7583202 + ... + 7596798.

Almost surely, 2103201230000 is an apocalyptic number.

103201230000 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 103201230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189631398528).

103201230000 is an abundant number, since it is smaller than the sum of its proper divisors (276061567056).

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

103201230000 is a wasteful number, since it uses less digits than its factorization.

103201230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13662 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103201230000 its reverse (32102301), we get a palindrome (103233332301).

The spelling of 103201230000 in words is "one hundred three billion, two hundred one million, two hundred thirty thousand".