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103404023232312 = 2331129607160913829
BaseRepresentation
bin10111100000101110100000…
…000100101011011100111000
3111120010022212011120112220210
4113200232200010223130320
5102023132414421413222
61003531052534151120
730531460043204535
oct2740564004533470
9446108764515823
10103404023232312
112aa47444417230
12b7204861b24a0
134590c5a97b2ca
141b76ad234bd8c
15be4b98c20d0c
hex5e0ba012b738

103404023232312 has 256 divisors, whose sum is σ = 292418864640000. Its totient is φ = 30183253954560.

The previous prime is 103404023232247. The next prime is 103404023232329. The reversal of 103404023232312 is 213232320404301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103404023232312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7477325014 + ... + 7477338842.

It is an arithmetic number, because the mean of its divisors is an integer number (1142261190000).

Almost surely, 2103404023232312 is an apocalyptic number.

103404023232312 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 103404023232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146209432320000).

103404023232312 is an abundant number, since it is smaller than the sum of its proper divisors (189014841407688).

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

103404023232312 is a wasteful number, since it uses less digits than its factorization.

103404023232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16090 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 103404023232312 its reverse (213232320404301), we get a palindrome (316636343636613).

The spelling of 103404023232312 in words is "one hundred three trillion, four hundred four billion, twenty-three million, two hundred thirty-two thousand, three hundred twelve".