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10221321201 = 3713531096481
BaseRepresentation
bin10011000010011110…
…01111101111110001
3222101100012220201220
421201033033233301
5131413124234301
64410130215253
7511202540160
oct114117175761
928340186656
1010221321201
11437573a9a3
121b93124529
13c6b7cb370
146cd6d53d7
153ec529936
hex2613cfbf1

10221321201 has 64 divisors (see below), whose sum is σ = 17249379840. Its totient is φ = 5240401920.

The previous prime is 10221321137. The next prime is 10221321239. The reversal of 10221321201 is 10212312201.

It is not a de Polignac number, because 10221321201 - 26 = 10221321137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221321251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573881 + ... + 1580361.

It is an arithmetic number, because the mean of its divisors is an integer number (269521560).

Almost surely, 210221321201 is an apocalyptic number.

It is an amenable number.

10221321201 is a deficient number, since it is larger than the sum of its proper divisors (7028058639).

10221321201 is a wasteful number, since it uses less digits than its factorization.

10221321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221321201 its reverse (10212312201), we get a palindrome (20433633402).

The spelling of 10221321201 in words is "ten billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 39 53 91 109 159 273 327 371 689 763 1113 1417 2067 2289 4251 4823 5777 6481 9919 14469 17331 19443 29757 40439 45367 75101 84253 121317 136101 225303 252759 343493 525707 589771 706429 1030479 1577121 1769313 2119287 2404451 4465409 4945003 7213353 9183577 13396227 14835009 27550731 31257863 37440737 64285039 93773589 112322211 192855117 262085159 486729581 786255477 1460188743 3407107067 10221321201