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313420011024120 = 23357111337591195247
BaseRepresentation
bin100011101000011011100100…
…0011011000010111011111000
31112002201122211110021211121220
41013100313020123002323320
5312040033140310232440
63030331055414432040
7123005564023162620
oct10720671033027370
91462648743254556
10313420011024120
1190957753420180
122b19aa93662620
13105b64c3465c30
145757876575880
152637b915d68d0
hex11d0dc86c2ef8

313420011024120 has 1024 divisors, whose sum is σ = 1318544046489600. Its totient is φ = 57500320849920.

The previous prime is 313420011024079. The next prime is 313420011024143. The reversal of 313420011024120 is 21420110024313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 261624337 + ... + 262819583.

It is an arithmetic number, because the mean of its divisors is an integer number (1287640670400).

Almost surely, 2313420011024120 is an apocalyptic number.

313420011024120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313420011024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659272023244800).

313420011024120 is an abundant number, since it is smaller than the sum of its proper divisors (1005124035465480).

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

313420011024120 is a wasteful number, since it uses less digits than its factorization.

313420011024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195388 (or 1195384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 313420011024120 its reverse (21420110024313), we get a palindrome (334840121048433).

The spelling of 313420011024120 in words is "three hundred thirteen trillion, four hundred twenty billion, eleven million, twenty-four thousand, one hundred twenty".