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10901239281 = 3812892
BaseRepresentation
bin10100010011100001…
…11011010111110001
31001010201121100000000
422021300323113301
5134311204124111
65001415220213
7534100001502
oct121160732761
931121540000
1010901239281
114694513469
122142977669
131049628c5a
14755b22ba9
1543c081c56
hex289c3b5f1

10901239281 has 27 divisors (see below), whose sum is σ = 16363723051. Its totient is φ = 7261854768.

The previous prime is 10901239259. The next prime is 10901239289. The reversal of 10901239281 is 18293210901.

The square root of 10901239281 is 104409.

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., 8843709681 + 2057529600 = 94041^2 + 45360^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 10901239281 - 217 = 10901108209 is a prime.

It is a super-2 number, since 2×109012392812 (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 (10901239289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8456485 + ... + 8457773.

Almost surely, 210901239281 is an apocalyptic number.

10901239281 is the 104409-th square number.

10901239281 is the 52205-th centered octagonal number.

It is an amenable number.

10901239281 is a deficient number, since it is larger than the sum of its proper divisors (5462483770).

10901239281 is an frugal number, since it uses more digits than its factorization.

10901239281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 10901239281 by its sum of digits (36), we get a square (392444614116 = 6264542).

The spelling of 10901239281 in words is "ten billion, nine hundred one million, two hundred thirty-nine thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 243 729 1289 2187 3867 6561 11601 34803 104409 313227 939681 1661521 2819043 4984563 8457129 14953689 44861067 134583201 403749603 1211248809 3633746427 10901239281