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311302122320 = 24574312927829
BaseRepresentation
bin1001000011110110000…
…11010110101101010000
31002202112011212022220002
410201323003112231100
520100021320403240
6355002112505132
731330233244310
oct4417303265520
91082464768802
10311302122320
11110027a29062
12503ba54b1a8
1323481518057
14110d21b9440
15816ea2ad15
hex487b0d6b50

311302122320 has 80 divisors (see below), whose sum is σ = 846410885760. Its totient is φ = 104250004992.

The previous prime is 311302122319. The next prime is 311302122323. The reversal of 311302122320 is 23221203113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3113021223202 (a number of 24 digits) contains 22 as substring.

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 = 311302122292 and 311302122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311302122323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6439835 + ... + 6487994.

It is an arithmetic number, because the mean of its divisors is an integer number (10580136072).

Almost surely, 2311302122320 is an apocalyptic number.

It is an amenable number.

311302122320 is an abundant number, since it is smaller than the sum of its proper divisors (535108763440).

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

311302122320 is a wasteful number, since it uses less digits than its factorization.

311302122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927892 (or 12927886 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 311302122320 its reverse (23221203113), we get a palindrome (334523325433).

The spelling of 311302122320 in words is "three hundred eleven billion, three hundred two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 12927829 25855658 51711316 64639145 90494803 103422632 129278290 180989606 206845264 258556580 361979212 452474015 517113160 555896647 723958424 904948030 1034226320 1111793294 1447916848 1809896060 2223586588 2779483235 3619792120 3891276529 4447173176 5558966470 7239584240 7782553058 8894346352 11117932940 15565106116 19456382645 22235865880 31130212232 38912765290 44471731760 62260424464 77825530580 155651061160 311302122320