Search a number
-
+
202131443122398 = 23319757260249939
BaseRepresentation
bin101101111101011001100100…
…110111011000000011011110
3222111200120120210220100221000
4231331121210313120003132
5202443210143414404043
61553521523020451130
760401341410034056
oct5575314467300336
9874616523810830
10202131443122398
11594505110a54a9
121a8065173a9aa6
1388a2bb469434a
1437cb2dd4b8566
151857d819422d3
hexb7d664dd80de

202131443122398 has 64 divisors (see below), whose sum is σ = 473446690848000. Its totient is φ = 63746660813472.

The previous prime is 202131443122393. The next prime is 202131443122423. The reversal of 202131443122398 is 893221344131202.

202131443122398 is a `hidden beast` number, since 2 + 0 + 2 + 131 + 4 + 4 + 3 + 122 + 398 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131443122393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129348288 + ... + 130901651.

It is an arithmetic number, because the mean of its divisors is an integer number (7397604544500).

Almost surely, 2202131443122398 is an apocalyptic number.

202131443122398 is an abundant number, since it is smaller than the sum of its proper divisors (271315247725602).

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

202131443122398 is a wasteful number, since it uses less digits than its factorization.

202131443122398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260250726 (or 260250720 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 202131443122398 in words is "two hundred two trillion, one hundred thirty-one billion, four hundred forty-three million, one hundred twenty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 757 1026 1514 2271 4542 6813 13626 14383 20439 28766 40878 43149 86298 129447 258894 388341 776682 260249939 520499878 780749817 1561499634 2342249451 4684498902 4944748841 7026748353 9889497682 14053496706 14834246523 29668493046 44502739569 89005479138 133508218707 197009203823 267016437414 394018407646 591027611469 1182055222938 1773082834407 3546165668814 3743174872637 5319248503221 7486349745274 10638497006442 11229524617911 22459049235822 33688573853733 67377147707466 101065721561199 202131443122398