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313043511132 = 2233113719736151
BaseRepresentation
bin1001000111000101101…
…10001110011101011100
31002221000112121001021000
410203202312032131130
520112103114324012
6355451000510300
731421336640522
oct4434266163534
91087015531230
10313043511132
111108409a0270
125080577b390
132369b226331
1411219596312
158222857ddc
hex48e2d8e75c

313043511132 has 192 divisors, whose sum is σ = 913945697280. Its totient is φ = 91826784000.

The previous prime is 313043511101. The next prime is 313043511133. The reversal of 313043511132 is 231115340313.

313043511132 is a `hidden beast` number, since 3 + 1 + 304 + 351 + 1 + 1 + 3 + 2 = 666.

313043511132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313043511096 and 313043511105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313043511133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8641257 + ... + 8677407.

It is an arithmetic number, because the mean of its divisors is an integer number (4760133840).

Almost surely, 2313043511132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313043511132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456972848640).

313043511132 is an abundant number, since it is smaller than the sum of its proper divisors (600902186148).

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

313043511132 is a wasteful number, since it uses less digits than its factorization.

313043511132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36409 (or 36401 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 313043511132 its reverse (231115340313), we get a palindrome (544158851445).

The spelling of 313043511132 in words is "three hundred thirteen billion, forty-three million, five hundred eleven thousand, one hundred thirty-two".