Search a number
-
+
202121012130321 = 319324171956687
BaseRepresentation
bin101101111101001111110111…
…001000010011001000010001
3222111122120122212011001211010
4231331033313020103020101
5202443022313101132241
61553513040000241133
760400522050050334
oct5575176710231021
9874576585131733
10202121012130321
1159447049077799
121a8044a60101a9
1388a1c11603b9b
1437ca9d000461b
151857970cecd16
hexb7d3f7213211

202121012130321 has 64 divisors (see below), whose sum is σ = 286047103795200. Its totient is φ = 126946637233920.

The previous prime is 202121012130287. The next prime is 202121012130383. The reversal of 202121012130321 is 123031210121202.

It is not a de Polignac number, because 202121012130321 - 218 = 202121011868177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202121012110321) 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, 3565533640 + ... + 3565590326.

It is an arithmetic number, because the mean of its divisors is an integer number (4469485996800).

Almost surely, 2202121012130321 is an apocalyptic number.

It is an amenable number.

202121012130321 is a deficient number, since it is larger than the sum of its proper divisors (83926091664879).

202121012130321 is an equidigital number, since it uses as much as digits as its factorization.

202121012130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57707 (or 57669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 202121012130321 its reverse (123031210121202), we get a palindrome (325152222251523).

The spelling of 202121012130321 in words is "two hundred two trillion, one hundred twenty-one billion, twelve million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 19 57 241 361 719 723 1083 2157 4579 6859 13661 13737 20577 40983 56687 87001 170061 173279 259559 261003 519837 778677 1077053 1653019 3231159 3292301 4931621 4959057 9876903 13661567 14794863 20464007 40757953 40984701 61392021 62553719 122273859 187661157 259569773 388816133 774401107 778709319 1166448399 1188520661 2323203321 3565561983 4931825687 9822666673 14713621033 14795477061 29468000019 44140863099 93704688053 186630666787 279558799627 281114064159 559892000361 838676398881 3545982668953 10637948006859 67373670710107 202121012130321