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311122012020 = 223516757753813
BaseRepresentation
bin1001000011100000101…
…00010010011101110100
31002202001121221210000020
410201300110102131310
520044134213341040
6354532200245140
731322615316351
oct4416024223564
91082047853006
10311122012020
1110aa452a0576
125036a1707b0
1323453105c01
14110b62d3628
15815dceecd0
hex4870512774

311122012020 has 96 divisors (see below), whose sum is σ = 877893182208. Its totient is φ = 82324611072.

The previous prime is 311122012013. The next prime is 311122012027. The reversal of 311122012020 is 20210221113.

It is an interprime number because it is at equal distance from previous prime (311122012013) and next prime (311122012027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311122012027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5754634 + ... + 5808446.

It is an arithmetic number, because the mean of its divisors is an integer number (9144720648).

Almost surely, 2311122012020 is an apocalyptic number.

311122012020 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 311122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438946591104).

311122012020 is an abundant number, since it is smaller than the sum of its proper divisors (566771170188).

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

311122012020 is a wasteful number, since it uses less digits than its factorization.

311122012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54569 (or 54567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 311122012020 its reverse (20210221113), we get a palindrome (331332233133).

The spelling of 311122012020 in words is "three hundred eleven billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 577 668 835 1002 1154 1670 1731 2004 2308 2505 2885 3340 3462 5010 5770 6924 8655 10020 11540 17310 34620 53813 96359 107626 161439 192718 215252 269065 289077 322878 385436 481795 538130 578154 645756 807195 963590 1076260 1156308 1445385 1614390 1927180 2890770 3228780 5781540 8986771 17973542 26960313 31050101 35947084 44933855 53920626 62100202 89867710 93150303 107841252 124200404 134801565 155250505 179735420 186300606 269603130 310501010 372601212 465751515 539206260 621002020 931503030 1863006060 5185366867 10370733734 15556100601 20741467468 25926834335 31112201202 51853668670 62224402404 77780503005 103707337340 155561006010 311122012020