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311113123220 = 22539739183013
BaseRepresentation
bin1001000011011111100…
…10011000010110010100
31002202001000020011212102
410201233302120112110
520044124424420340
6354531241541232
731322446625444
oct4415762302624
91082030204772
10311113123220
1110aa4027a259
12503671a4818
1323451313073
14110b505c124
15815d146215
hex486fc98594

311113123220 has 24 divisors (see below), whose sum is σ = 654983262024. Its totient is φ = 124131782016.

The previous prime is 311113123151. The next prime is 311113123229. The reversal of 311113123220 is 22321311113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 153386589316 + 157726533904 = 391646^2 + 397148^2 .

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 = 311113123192 and 311113123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311113123229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19583567 + ... + 19599446.

It is an arithmetic number, because the mean of its divisors is an integer number (27290969251).

Almost surely, 2311113123220 is an apocalyptic number.

It is an amenable number.

311113123220 is an abundant number, since it is smaller than the sum of its proper divisors (343870138804).

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

311113123220 is a wasteful number, since it uses less digits than its factorization.

311113123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39183419 (or 39183417 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 311113123220 its reverse (22321311113), we get a palindrome (333434434333).

The spelling of 311113123220 in words is "three hundred eleven billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 397 794 1588 1985 3970 7940 39183013 78366026 156732052 195915065 391830130 783660260 15555656161 31111312322 62222624644 77778280805 155556561610 311113123220