Search a number
-
+
201012131321022 = 2377380398155453
BaseRepresentation
bin101101101101000111001000…
…101011101101010010111110
3222100201120110001021102222110
4231231013020223231102332
5202321340321104233042
61551303410500154450
760224435000512440
oct5555071053552276
9870646401242873
10201012131321022
115905984783428a
121a6655b8098a26
13882149397b088
14378d0792b0490
151838bc086609c
hexb6d1c8aed4be

201012131321022 has 64 divisors (see below), whose sum is σ = 465808215536640. Its totient is φ = 56638244024064.

The previous prime is 201012131320879. The next prime is 201012131321033. The reversal of 201012131321022 is 220123131210102.

201012131321022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201012131321022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20569848 + ... + 28725300.

It is an arithmetic number, because the mean of its divisors is an integer number (7278253367760).

Almost surely, 2201012131321022 is an apocalyptic number.

201012131321022 is an abundant number, since it is smaller than the sum of its proper divisors (264796084215618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201012131321022 is a wasteful number, since it uses less digits than its factorization.

201012131321022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163577.

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

Adding to 201012131321022 its reverse (220123131210102), we get a palindrome (421135262531124).

The spelling of 201012131321022 in words is "two hundred one trillion, twelve billion, one hundred thirty-one million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 8039 16078 24117 48234 56273 112546 168819 337638 586847 1173694 1760541 3521082 4107929 8155453 8215858 12323787 16310906 24466359 24647574 48932718 57088171 114176342 171264513 342529026 595348069 1190696138 1786044207 3572088414 4167436483 8334872966 12502309449 25004618898 65561686667 131123373334 196685060001 393370120002 458931806669 917863613338 1376795420007 2753590840014 4786003126691 9572006253382 14358009380073 28716018760146 33502021886837 67004043773674 100506065660511 201012131321022