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10070323201 = 17259032
BaseRepresentation
bin10010110000011110…
…01111000000000001
3221222211002102102101
421120033033000001
5131111000320301
64343133550401
7504360222601
oct113017170001
927884072371
1010070323201
1142a8486964
121b50645401
13c46440133
146b762ac01
153de14e701
hex2583cf001

10070323201 has 9 divisors (see below), whose sum is σ = 10699353091. Its totient is φ = 9476345632.

The previous prime is 10070323183. The next prime is 10070323213. The reversal of 10070323201 is 10232307001.

The square root of 10070323201 is 100351.

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., 7840217025 + 2230106176 = 88545^2 + 47224^2 .

It is not a de Polignac number, because 10070323201 - 27 = 10070323073 is a prime.

It is a super-2 number, since 2×100703232012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10070323261) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1703016 + ... + 1708918.

Almost surely, 210070323201 is an apocalyptic number.

10070323201 is the 100351-st square number.

10070323201 is the 50176-th centered octagonal number.

It is an amenable number.

10070323201 is a deficient number, since it is larger than the sum of its proper divisors (629029890).

10070323201 is an frugal number, since it uses more digits than its factorization.

10070323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

It can be divided in two parts, 100703 and 23201, that added together give a square (123904 = 3522).

The spelling of 10070323201 in words is "ten billion, seventy million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 17 289 5903 100351 1705967 34845409 592371953 10070323201