Search a number
-
+
10100947520 = 26531565461
BaseRepresentation
bin10010110100001000…
…00011101001000000
3222001221201022002102
421122010003221000
5131141320310040
64350150205532
7505211431406
oct113204035100
928057638072
1010100947520
1143137a3414
121b5a9538a8
13c4c8a3331
146bb71d476
153e1b9d515
hex25a103a40

10100947520 has 28 divisors (see below), whose sum is σ = 24052882044. Its totient is φ = 4040378880.

The previous prime is 10100947517. The next prime is 10100947531. The reversal of 10100947520 is 2574900101.

It can be written as a sum of positive squares in 2 ways, for example, as 1824314944 + 8276632576 = 42712^2 + 90976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15782411 + ... + 15783050.

Almost surely, 210100947520 is an apocalyptic number.

10100947520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100947520 is an abundant number, since it is smaller than the sum of its proper divisors (13951934524).

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

10100947520 is an equidigital number, since it uses as much as digits as its factorization.

10100947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31565478 (or 31565468 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 10100947520 in words is "ten billion, one hundred million, nine hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 31565461 63130922 126261844 157827305 252523688 315654610 505047376 631309220 1010094752 1262618440 2020189504 2525236880 5050473760 10100947520