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10001430304 = 253113972533
BaseRepresentation
bin10010101000010000…
…11011011100100000
3221211000110022010121
421110020123130200
5130440331232204
64332233210024
7502562516635
oct112410333440
927730408117
1010001430304
114272601688
121b31560914
13c3509b4c8
146ac41618c
153d8091b54
hex25421b720

10001430304 has 48 divisors (see below), whose sum is σ = 20471996160. Its totient is φ = 4804519680.

The previous prime is 10001430287. The next prime is 10001430319. The reversal of 10001430304 is 40303410001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101622 + ... + 174154.

It is an arithmetic number, because the mean of its divisors is an integer number (426499920).

Almost surely, 210001430304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235998080).

10001430304 is an abundant number, since it is smaller than the sum of its proper divisors (10470565856).

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

10001430304 is a wasteful number, since it uses less digits than its factorization.

10001430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72713 (or 72705 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10001430304 its reverse (40303410001), we get a palindrome (50304840305).

The spelling of 10001430304 in words is "ten billion, one million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 139 248 278 496 556 992 1112 2224 4309 4448 8618 17236 34472 68944 72533 137888 145066 290132 580264 1160528 2248523 2321056 4497046 8994092 10082087 17988184 20164174 35976368 40328348 71952736 80656696 161313392 312544697 322626784 625089394 1250178788 2500357576 5000715152 10001430304