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10031726401 = 171933057521
BaseRepresentation
bin10010101011110111…
…11111111101000001
3221220010110111120021
421111323333331001
5131021110221101
64335234413441
7503411160514
oct112573777501
927803414507
1010031726401
114288714584
121b3b731281
13c3b4481a8
146b2460d7b
153daa785a1
hex255efff41

10031726401 has 8 divisors (see below), whose sum is σ = 10676866824. Its totient is φ = 9392701440.

The previous prime is 10031726339. The next prime is 10031726413. The reversal of 10031726401 is 10462713001.

It can be written as a sum of positive squares in 4 ways, for example, as 715616001 + 9316110400 = 26751^2 + 96520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10031726401 - 27 = 10031726273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031726431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1525480 + ... + 1532041.

It is an arithmetic number, because the mean of its divisors is an integer number (1334608353).

Almost surely, 210031726401 is an apocalyptic number.

It is an amenable number.

10031726401 is a deficient number, since it is larger than the sum of its proper divisors (645140423).

10031726401 is a wasteful number, since it uses less digits than its factorization.

10031726401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057731.

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 10031726401 in words is "ten billion, thirty-one million, seven hundred twenty-six thousand, four hundred one".

Divisors: 1 17 193 3281 3057521 51977857 590101553 10031726401