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103412024430 = 2351121321011669
BaseRepresentation
bin110000001001111010…
…1100100010001101110
3100212220221222010211220
41200103311210101232
53143241434240210
6115301250324210
710320434463411
oct1402365442156
9325827863756
10103412024430
113a947434600
1218060589666
1399a0685700
14501027bb78
152a53a69c70
hex1813d6446e

103412024430 has 288 divisors, whose sum is σ = 298505178720. Its totient is φ = 22898304000.

The previous prime is 103412024389. The next prime is 103412024449. The reversal of 103412024430 is 34420214301.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103412024430.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 61959636 + ... + 61961304.

It is an arithmetic number, because the mean of its divisors is an integer number (1036476315).

Almost surely, 2103412024430 is an apocalyptic number.

103412024430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103412024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149252589360).

103412024430 is an abundant number, since it is smaller than the sum of its proper divisors (195093154290).

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

103412024430 is a wasteful number, since it uses less digits than its factorization.

103412024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103412024430 its reverse (34420214301), we get a palindrome (137832238731).

The spelling of 103412024430 in words is "one hundred three billion, four hundred twelve million, twenty-four thousand, four hundred thirty".