Search a number
-
+
12002130203022 = 232666785011279
BaseRepresentation
bin1010111010100111011010…
…1101010001000110001110
31120111101121002102121222200
42232221312231101012032
53033120330312444042
641305411423422330
72346060655311651
oct256516655210616
946441532377880
1012002130203022
113908090671973
12141a1151549a6
13690a46b23c4b
142d6c9888b898
1515c309e51c4c
hexaea76b5118e

12002130203022 has 12 divisors (see below), whose sum is σ = 26004615439920. Its totient is φ = 4000710067668.

The previous prime is 12002130203003. The next prime is 12002130203027. The reversal of 12002130203022 is 22030203120021.

It is a super-2 number, since 2×120021302030222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 666785011279 = 12002130203022 / (1 + 2 + 0 + 0 + 2 + 1 + 3 + 0 + 2 + 0 + 3 + 0 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12002130202986 and 12002130203004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002130203027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333392505622 + ... + 333392505657.

It is an arithmetic number, because the mean of its divisors is an integer number (2167051286660).

Almost surely, 212002130203022 is an apocalyptic number.

12002130203022 is an abundant number, since it is smaller than the sum of its proper divisors (14002485236898).

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

12002130203022 is a wasteful number, since it uses less digits than its factorization.

12002130203022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666785011287 (or 666785011284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12002130203022 its reverse (22030203120021), we get a palindrome (34032333323043).

The spelling of 12002130203022 in words is "twelve trillion, two billion, one hundred thirty million, two hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 666785011279 1333570022558 2000355033837 4000710067674 6001065101511 12002130203022