Search a number
-
+
202113100000331 = 13179659131799167
BaseRepresentation
bin101101111101001000011111…
…100001111010110001001011
3222111121211020110002012220122
4231331020133201322301023
5202442410112100002311
61553505250520013455
760400122014052062
oct5575103741726113
9874554213065818
10202113100000331
1159443758966393
121a802a5830128b
1388a1250348370
1437ca47d2911d9
15185765b3ad0db
hexb7d21f87ac4b

202113100000331 has 16 divisors (see below), whose sum is σ = 219208376217600. Its totient is φ = 185242146223008.

The previous prime is 202113100000327. The next prime is 202113100000349. The reversal of 202113100000331 is 133000001311202.

It is a cyclic number.

It is not a de Polignac number, because 202113100000331 - 22 = 202113100000327 is a prime.

It is a super-2 number, since 2×2021131000003312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202113100090331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64366091 + ... + 67433076.

It is an arithmetic number, because the mean of its divisors is an integer number (13700523513600).

Almost surely, 2202113100000331 is an apocalyptic number.

202113100000331 is a deficient number, since it is larger than the sum of its proper divisors (17095276217269).

202113100000331 is a wasteful number, since it uses less digits than its factorization.

202113100000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131800018.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 202113100000331 its reverse (133000001311202), we get a palindrome (335113101311533).

The spelling of 202113100000331 in words is "two hundred two trillion, one hundred thirteen billion, one hundred million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 13 179 659 2327 8567 117961 1533493 131799167 1713389171 23592050893 86855651053 306696661609 1129123463689 15547161538487 202113100000331