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3113781863220 = 22325723107445889
BaseRepresentation
bin101101010011111011110…
…111001010001100110100
3102000200012210220210212100
4231103323313022030310
5402004011124110340
610342241315422100
7440651263064610
oct55237367121464
912020183823770
103113781863220
11aa060275a686
1242357b2b4930
131978226b3ba2
14aa9ca48a340
1555ee3873830
hex2d4fbdca334

3113781863220 has 144 divisors (see below), whose sum is σ = 11263767540480. Its totient is φ = 680777146368.

The previous prime is 3113781863177. The next prime is 3113781863237. The reversal of 3113781863220 is 223681873113.

3113781863220 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 7 + 8 + 1 + 8 + 632 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 53693965 + ... + 53751924.

It is an arithmetic number, because the mean of its divisors is an integer number (78220607920).

Almost surely, 23113781863220 is an apocalyptic number.

3113781863220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113781863220 is an abundant number, since it is smaller than the sum of its proper divisors (8149985677260).

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

3113781863220 is a wasteful number, since it uses less digits than its factorization.

3113781863220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107445934 (or 107445929 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3113781863220 in words is "three trillion, one hundred thirteen billion, seven hundred eighty-one million, eight hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 107445889 214891778 322337667 429783556 537229445 644675334 752121223 967013001 1074458890 1289350668 1504242446 1611688335 1934026002 2148917780 2256363669 2471255447 3008484892 3223376670 3760606115 3868052004 4512727338 4835065005 4942510894 6446753340 6769091007 7413766341 7521212230 9025454676 9670130010 9885021788 11281818345 12356277235 13538182014 14827532682 15042424460 17298788129 19340260020 22241299023 22563636690 24712554470 27076364028 29655065364 33845455035 34597576258 37068831705 44482598046 45127273380 49425108940 51896364387 67690910070 69195152516 74137663410 86493940645 88965196092 103792728774 111206495115 135381820140 148275326820 155689093161 172987881290 207585457548 222412990230 259481821935 311378186322 345975762580 444825980460 518963643870 622756372644 778445465805 1037927287740 1556890931610 3113781863220