Search a number
-
+
331002131022 = 23410120229931
BaseRepresentation
bin1001101000100010100…
…00111011001001001110
31011122101002220110110000
410310101100323021032
520410343021143042
6412021004225130
732625353456103
oct4642120731116
91148332813400
10331002131022
1111841708a192
1254197b3b1a6
13252a09c8b34
14120406d0aaa
15892428a74c
hex4d1143b24e

331002131022 has 40 divisors (see below), whose sum is σ = 749033462232. Its totient is φ = 109241622000.

The previous prime is 331002130999. The next prime is 331002131027. The reversal of 331002131022 is 220131200133.

331002131022 is a `hidden beast` number, since 3 + 310 + 0 + 21 + 310 + 22 = 666.

It is a super-2 number, since 2×3310021310222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331002130986 and 331002131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002131027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10098604 + ... + 10131327.

Almost surely, 2331002131022 is an apocalyptic number.

331002131022 is an abundant number, since it is smaller than the sum of its proper divisors (418031331210).

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

331002131022 is a wasteful number, since it uses less digits than its factorization.

331002131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20230046 (or 20230037 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331002131022 its reverse (220131200133), we get a palindrome (551133331155).

The spelling of 331002131022 in words is "three hundred thirty-one billion, two million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 16362 20229931 40459862 60689793 121379586 182069379 364138758 546208137 1092416274 1638624411 2043223031 3277248822 4086446062 6129669093 12259338186 18389007279 36778014558 55167021837 110334043674 165501065511 331002131022