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10221313504 = 252716771741
BaseRepresentation
bin10011000010011110…
…01101110111100000
3222101100012112011211
421201033031313200
5131413124013004
64410130115504
7511202505553
oct114117156740
928340175154
1010221313504
114375735136
121b9311bb94
13c6b7c79cc
146cd6d269a
153ec527504
hex2613cdde0

10221313504 has 48 divisors (see below), whose sum is σ = 20238918336. Its totient is φ = 5081356800.

The previous prime is 10221313499. The next prime is 10221313507. The reversal of 10221313504 is 40531312201.

It is a happy number.

10221313504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221313507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5870074 + ... + 5871814.

It is an arithmetic number, because the mean of its divisors is an integer number (421644132).

Almost surely, 210221313504 is an apocalyptic number.

It is an amenable number.

10221313504 is a deficient number, since it is larger than the sum of its proper divisors (10017604832).

10221313504 is a wasteful number, since it uses less digits than its factorization.

10221313504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10221313504 its reverse (40531312201), we get a palindrome (50752625705).

The spelling of 10221313504 in words is "ten billion, two hundred twenty-one million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 32 271 542 677 1084 1354 1741 2168 2708 3482 4336 5416 6964 8672 10832 13928 21664 27856 55712 183467 366934 471811 733868 943622 1178657 1467736 1887244 2357314 2935472 3774488 4714628 5870944 7548976 9429256 15097952 18858512 37717024 319416047 638832094 1277664188 2555328376 5110656752 10221313504