Search a number
-
+
123121002311132 = 22717325417217653
BaseRepresentation
bin11011111111101001010111…
…100110110110110111011100
3121010221020211100020121021112
4123333221113212312313130
5112114203303042424012
61113505001351521152
734635125133131450
oct3377512746666734
9533836740217245
10123121002311132
1136259362057211
12119858126891b8
1353913509b0037
14225913445c660
15e379d6d3b122
hex6ffa579b6ddc

123121002311132 has 24 divisors (see below), whose sum is σ = 247665368820576. Its totient is φ = 52461137233728.

The previous prime is 123121002311117. The next prime is 123121002311147. The reversal of 123121002311132 is 231113200121321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123121002311117) and next prime (123121002311147).

It is a super-2 number, since 2×1231210023111322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123121002311098 and 123121002311107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12708603983 + ... + 12708613670.

It is an arithmetic number, because the mean of its divisors is an integer number (10319390367524).

Almost surely, 2123121002311132 is an apocalyptic number.

It is an amenable number.

123121002311132 is an abundant number, since it is smaller than the sum of its proper divisors (124544366509444).

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

123121002311132 is a wasteful number, since it uses less digits than its factorization.

123121002311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25417217837 (or 25417217835 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 123121002311132 its reverse (231113200121321), we get a palindrome (354234202432453).

The spelling of 123121002311132 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, two million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 173 346 692 1211 2422 4844 25417217653 50834435306 101668870612 177920523571 355841047142 711682094284 4397178653969 8794357307938 17588714615876 30780250577783 61560501155566 123121002311132