Search a number
-
+
310241111420 = 225137157172073
BaseRepresentation
bin1001000001110111100…
…11111010110101111100
31002122210020101101120002
410200323303322311330
520040333211031140
6354304531413432
731262030636132
oct4407363726574
91078706341502
10310241111420
1110a633023949
1250163154278
1323342768a56
1411031309752
15810b7e7415
hex483bcfad7c

310241111420 has 48 divisors (see below), whose sum is σ = 656688701088. Its totient is φ = 123110507520.

The previous prime is 310241111413. The next prime is 310241111423. The reversal of 310241111420 is 24111142013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 310241111392 and 310241111401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310241111423) 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 15 ways as a sum of consecutive naturals, for example, 4268504 + ... + 4340576.

It is an arithmetic number, because the mean of its divisors is an integer number (13681014606).

Almost surely, 2310241111420 is an apocalyptic number.

It is an amenable number.

310241111420 is an abundant number, since it is smaller than the sum of its proper divisors (346447589668).

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

310241111420 is a wasteful number, since it uses less digits than its factorization.

310241111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73790 (or 73788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 310241111420 its reverse (24111142013), we get a palindrome (334352253433).

The spelling of 310241111420 in words is "three hundred ten billion, two hundred forty-one million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 1571 2740 3142 6284 7855 15710 31420 72073 144146 215227 288292 360365 430454 720730 860908 1076135 1441460 2152270 4304540 9874001 19748002 39496004 49370005 98740010 113226683 197480020 226453366 452906732 566133415 1132266830 2264533660 15512055571 31024111142 62048222284 77560277855 155120555710 310241111420