Search a number
-
+
311432343224130 = 232515208122753397
BaseRepresentation
bin100011011001111101111111…
…0001100000111111101000010
31111211200122022110122122202100
41012303323332030013331002
5311310001414331133010
63022210013211331230
7122412146534511462
oct10663737614077502
91454618273578670
10311432343224130
11902607957a8827
122ab19811750b16
13104a0c36b2963b
1456c9597899ba2
15260110b0e92c0
hex11b3efe307f42

311432343224130 has 48 divisors (see below), whose sum is σ = 809729452264824. Its totient is φ = 83048075128320.

The previous prime is 311432343224083. The next prime is 311432343224141. The reversal of 311432343224130 is 31422343234113.

311432343224130 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 3 + 234 + 3 + 2 + 2 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288931086108729 + 22501257115401 = 16997973^2 + 4743549^2 .

It is a super-2 number, since 2×3114323432241302 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310592 + ... + 25063988.

Almost surely, 2311432343224130 is an apocalyptic number.

311432343224130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311432343224130 is an abundant number, since it is smaller than the sum of its proper divisors (498297109040694).

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

311432343224130 is a wasteful number, since it uses less digits than its factorization.

311432343224130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22905491 (or 22905488 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 311432343224130 its reverse (31422343234113), we get a palindrome (342854686458243).

The spelling of 311432343224130 in words is "three hundred eleven trillion, four hundred thirty-two billion, three hundred forty-three million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 152081 304162 456243 760405 912486 1368729 1520810 2281215 2737458 4562430 6843645 13687290 22753397 45506794 68260191 113766985 136520382 204780573 227533970 341300955 409561146 682601910 1023902865 2047805730 3460359369157 6920718738314 10381078107471 17301796845785 20762156214942 31143234322413 34603593691570 51905390537355 62286468644826 103810781074710 155716171612065 311432343224130