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10082971396 = 22502072
BaseRepresentation
bin10010110001111110…
…11110111100000100
3222000200220000111001
421120333132330010
5131122220041041
64344305023044
7504602562031
oct113077367404
928020800431
1010082971396
114304635713
121b54924a84
13c48c4b184
146b91a0388
153e02ec131
hex258fdef04

10082971396 has 9 divisors (see below), whose sum is σ = 17645551399. Its totient is φ = 5041385284.

The previous prime is 10082971361. The next prime is 10082971397. The reversal of 10082971396 is 69317928001.

It is a happy number.

The square root of 10082971396 is 100414.

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

It is a super-3 number, since 3×100829713963 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10082971397) 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 2 ways as a sum of consecutive naturals, for example, 175725 + ... + 225931.

Almost surely, 210082971396 is an apocalyptic number.

10082971396 is the 100414-th square number.

It is an amenable number.

10082971396 is a deficient number, since it is larger than the sum of its proper divisors (7562580003).

10082971396 is an frugal number, since it uses more digits than its factorization.

10082971396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100418 (or 50209 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

It can be divided in two parts, 100829 and 71396, that added together give a square (172225 = 4152).

The spelling of 10082971396 in words is "ten billion, eighty-two million, nine hundred seventy-one thousand, three hundred ninety-six".

Divisors: 1 2 4 50207 100414 200828 2520742849 5041485698 10082971396