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10090403401 = 13277272
BaseRepresentation
bin10010110010110111…
…10101011001001001
3222001012212121021111
421121123311121021
5131131120402101
64345132210321
7505023004501
oct113133653111
928035777244
1010090403401
114308851471
121b573099a1
13c4a650c00
146ba176a01
153e0cb9251
hex2596f5649

10090403401 has 9 divisors (see below), whose sum is σ = 10927709031. Its totient is φ = 9313013112.

The previous prime is 10090403399. The next prime is 10090403423. The reversal of 10090403401 is 10430409001.

The square root of 10090403401 is 100451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1492663225 + 8597740176 = 38635^2 + 92724^2 .

It is not a de Polignac number, because 10090403401 - 21 = 10090403399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10090403461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1302000 + ... + 1309726.

Almost surely, 210090403401 is an apocalyptic number.

10090403401 is the 100451-st square number.

10090403401 is the 50226-th centered octagonal number.

It is an amenable number.

10090403401 is a deficient number, since it is larger than the sum of its proper divisors (837305630).

10090403401 is an frugal number, since it uses more digits than its factorization.

10090403401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10090403401 in words is "ten billion, ninety million, four hundred three thousand, four hundred one".

Divisors: 1 13 169 7727 100451 1305863 59706529 776184877 10090403401