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10132410030 = 235839402559
BaseRepresentation
bin10010110111111000…
…00100111010101110
3222011010220202112120
421123330010322232
5131222344110110
64353232413410
7506043031011
oct113374047256
928133822476
1010132410030
11432a532696
121b693a7266
13c5626abc2
146c198d378
153e4815870
hex25bf04eae

10132410030 has 32 divisors (see below), whose sum is σ = 24346828800. Its totient is φ = 2698748832.

The previous prime is 10132410011. The next prime is 10132410037. The reversal of 10132410030 is 3001423101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 10132409991 and 10132410009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132410037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 176110 + ... + 226449.

It is an arithmetic number, because the mean of its divisors is an integer number (760838400).

Almost surely, 210132410030 is an apocalyptic number.

10132410030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132410030 is an abundant number, since it is smaller than the sum of its proper divisors (14214418770).

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

10132410030 is a wasteful number, since it uses less digits than its factorization.

10132410030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403408.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10132410030 its reverse (3001423101), we get a palindrome (13133833131).

The spelling of 10132410030 in words is "ten billion, one hundred thirty-two million, four hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 839 1678 2517 4195 5034 8390 12585 25170 402559 805118 1207677 2012795 2415354 4025590 6038385 12076770 337747001 675494002 1013241003 1688735005 2026482006 3377470010 5066205015 10132410030