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10221434313 = 3198311931811
BaseRepresentation
bin10011000010011111…
…01011010111001001
3222101100102122220020
421201033223113021
5131413141344223
64410132451053
7511203521016
oct114117532711
928340378806
1010221434313
114375807982
121b93179a89
13c6b83a9ac
146cd72470d
153ec54d1e3
hex2613eb5c9

10221434313 has 32 divisors (see below), whose sum is σ = 14538908160. Its totient is φ = 6368999040.

The previous prime is 10221434299. The next prime is 10221434339. The reversal of 10221434313 is 31343412201.

It is a happy number.

It is not a de Polignac number, because 10221434313 - 233 = 1631499721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221434413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5643178 + ... + 5644988.

It is an arithmetic number, because the mean of its divisors is an integer number (454340880).

Almost surely, 210221434313 is an apocalyptic number.

It is an amenable number.

10221434313 is a deficient number, since it is larger than the sum of its proper divisors (4317473847).

10221434313 is a wasteful number, since it uses less digits than its factorization.

10221434313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10221434313 its reverse (31343412201), we get a palindrome (41564846514).

The spelling of 10221434313 in words is "ten billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 19 57 83 249 1193 1577 1811 3579 4731 5433 22667 34409 68001 99019 103227 150313 297057 450939 1881361 2160523 2855947 5644083 6481569 8567841 41049937 123149811 179323409 537970227 3407144771 10221434313