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20221311201 = 37132139179229
BaseRepresentation
bin10010110101010010…
…001011100011100001
31221012020222001010220
4102311102023203201
5312403123424301
613142312513253
71314050211030
oct226522134341
957166861126
1020221311201
118637448443
123b040ab829
131ba34b4100
14d9b854717
157d53d4936
hex4b548b8e1

20221311201 has 96 divisors (see below), whose sum is σ = 33941376000. Its totient is φ = 10484308224.

The previous prime is 20221311179. The next prime is 20221311211. The reversal of 20221311201 is 10211312202.

It is not a de Polignac number, because 20221311201 - 26 = 20221311137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20221311211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88302555 + ... + 88302783.

It is an arithmetic number, because the mean of its divisors is an integer number (353556000).

Almost surely, 220221311201 is an apocalyptic number.

20221311201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20221311201 is a deficient number, since it is larger than the sum of its proper divisors (13720064799).

20221311201 is a wasteful number, since it uses less digits than its factorization.

20221311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

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

Adding to 20221311201 its reverse (10211312202), we get a palindrome (30432623403).

The spelling of 20221311201 in words is "twenty billion, two hundred twenty-one million, three hundred eleven thousand, two hundred one".

Divisors: 1 3 7 13 21 39 91 139 169 179 229 273 417 507 537 687 973 1183 1253 1603 1807 2327 2919 2977 3549 3759 4809 5421 6981 8931 12649 16289 20839 23491 24881 30251 31831 37947 38701 40991 48867 62517 70473 74643 90753 95493 116103 122973 164437 174167 211757 222817 270907 286937 323453 413803 493311 522501 532883 635271 668451 812721 860811 970359 1241409 1598649 2264171 2896621 3730181 4204889 5379439 5697749 6792513 6927479 8689863 11190543 12614667 16138317 17093247 20782437 29434223 37656073 39884243 48492353 74070737 88302669 112968219 119652729 145477059 222212211 518495159 962919581 1555485477 2888758743 6740437067 20221311201