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313111132020 = 2232550312132851
BaseRepresentation
bin1001000111001101110…
…00001011011101110100
31002221012020211112200100
410203212320023131310
520112222422211040
6355501414114100
731423120465131
oct4434670133564
91087166745610
10313111132020
111108760868a5
125082434b930
13236ac240cab
1411224559588
158228763b30
hex48e6e0b774

313111132020 has 144 divisors (see below), whose sum is σ = 952777268352. Its totient is φ = 83232403200.

The previous prime is 313111131989. The next prime is 313111132031. The reversal of 313111132020 is 20231111313.

313111132020 is a `hidden beast` number, since 3 + 1 + 311 + 11 + 320 + 20 = 666.

313111132020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313111131984 and 313111132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109823595 + ... + 109826445.

It is an arithmetic number, because the mean of its divisors is an integer number (6616508808).

Almost surely, 2313111132020 is an apocalyptic number.

313111132020 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 313111132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476388634176).

313111132020 is an abundant number, since it is smaller than the sum of its proper divisors (639666136332).

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

313111132020 is a wasteful number, since it uses less digits than its factorization.

313111132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313111132020 its reverse (20231111313), we get a palindrome (333342243333).

The spelling of 313111132020 in words is "three hundred thirteen billion, one hundred eleven million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1213 1509 2012 2426 2515 2851 3018 3639 4527 4852 5030 5702 6036 6065 7278 7545 8553 9054 10060 10917 11404 12130 14255 14556 15090 17106 18108 18195 21834 22635 24260 25659 28510 30180 34212 36390 42765 43668 45270 51318 54585 57020 72780 85530 90540 102636 109170 128295 171060 218340 256590 513180 610139 1220278 1434053 1830417 2440556 2868106 3050695 3458263 3660834 4302159 5491251 5736212 6101390 6916526 7170265 7321668 8604318 9152085 10374789 10982502 12202780 12906477 13833052 14340530 17208636 17291315 18304170 20749578 21510795 21965004 25812954 27456255 28681060 31124367 34582630 36608340 41499156 43021590 51625908 51873945 54912510 62248734 64532385 69165260 86043180 103747890 109825020 124497468 129064770 155621835 207495780 258129540 311243670 622487340 1739506289 3479012578 5218518867 6958025156 8697531445 10437037734 15655556601 17395062890 20874075468 26092594335 31311113202 34790125780 52185188670 62622226404 78277783005 104370377340 156555566010 313111132020