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10021331241 = 321765498897
BaseRepresentation
bin10010101010101000…
…10110000100101001
3221212101220101002100
421111110112010221
5131010430044431
64334223524013
7503223624105
oct112524260451
927771811070
1010021331241
114282864539
121b38159609
13c392487cc
146b0d16905
153d9bc34e6
hex255516129

10021331241 has 12 divisors (see below), whose sum is σ = 15326742132. Its totient is φ = 6287894016.

The previous prime is 10021331239. The next prime is 10021331249. The reversal of 10021331241 is 14213312001.

10021331241 is a `hidden beast` number, since 100 + 213 + 312 + 41 = 666.

10021331241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3588489216 + 6432842025 = 59904^2 + 80205^2 .

It is not a de Polignac number, because 10021331241 - 21 = 10021331239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021331249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32749296 + ... + 32749601.

It is an arithmetic number, because the mean of its divisors is an integer number (1277228511).

Almost surely, 210021331241 is an apocalyptic number.

It is an amenable number.

10021331241 is a deficient number, since it is larger than the sum of its proper divisors (5305410891).

10021331241 is a wasteful number, since it uses less digits than its factorization.

10021331241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65498920 (or 65498917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10021331241 its reverse (14213312001), we get a palindrome (24234643242).

The spelling of 10021331241 in words is "ten billion, twenty-one million, three hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 65498897 196496691 589490073 1113481249 3340443747 10021331241