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311310111020020 = 225719739672845357
BaseRepresentation
bin100011011001000101000100…
…0100101010001001111110100
31111211020221210220012022212121
41012302022020211101033310
5311301001101410120040
63022033520215125324
7122400261522101410
oct10662121045211764
91454227726168777
10311310111020020
1190213970918722
122aab9b9a373844
1310492557346648
1456c36bdcd1d40
1525ecd551b4c4a
hex11b22889513f4

311310111020020 has 96 divisors (see below), whose sum is σ = 751126436831232. Its totient is φ = 106166287277568.

The previous prime is 311310111020009. The next prime is 311310111020033. The reversal of 311310111020020 is 20020111013113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311310111019976 and 311310111020003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107987182 + ... + 110832538.

It is an arithmetic number, because the mean of its divisors is an integer number (7824233716992).

Almost surely, 2311310111020020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311310111020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375563218415616).

311310111020020 is an abundant number, since it is smaller than the sum of its proper divisors (439816325811212).

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

311310111020020 is a wasteful number, since it uses less digits than its factorization.

311310111020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849537 (or 2849535 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 311310111020020 its reverse (20020111013113), we get a palindrome (331330222033133).

The spelling of 311310111020020 in words is "three hundred eleven trillion, three hundred ten billion, one hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3940 3967 5516 6895 7934 13790 15868 19835 27580 27769 39670 55538 79340 111076 138845 277690 555380 781499 1562998 2845357 3125996 3907495 5470493 5690714 7814990 10940986 11381428 14226785 15629980 19917499 21881972 27352465 28453570 39834998 54704930 56907140 79669996 99587495 109409860 199174990 398349980 560535329 1121070658 2242141316 2802676645 3923747303 5605353290 7847494606 11210706580 11287531219 15694989212 19618736515 22575062438 39237473030 45150124876 56437656095 78474946060 79012718533 112875312190 158025437066 225750624380 316050874132 395063592665 790127185330 1580254370660 2223643650143 4447287300286 8894574600572 11118218250715 15565505551001 22236436501430 31131011102002 44472873002860 62262022204004 77827527755005 155655055510010 311310111020020