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31120322220 = 223251326335051
BaseRepresentation
bin11100111110111010…
…100110111010101100
32222022211101011112200
4130332322212322230
51002213300302340
622144012301500
72151122242251
oct347672467254
988284334480
1031120322220
111221a679769
126046171890
132c1c50ca60
141713157428
15c22176330
hex73eea6eac

31120322220 has 144 divisors (see below), whose sum is σ = 101718463392. Its totient is φ = 7655961600.

The previous prime is 31120322173. The next prime is 31120322257. The reversal of 31120322220 is 2222302113.

31120322220 is a `hidden beast` number, since 3 + 1 + 120 + 322 + 220 = 666.

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 = 31120322193 and 31120322202.

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, 6158695 + ... + 6163745.

It is an arithmetic number, because the mean of its divisors is an integer number (706378218).

Almost surely, 231120322220 is an apocalyptic number.

31120322220 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 31120322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50859231696).

31120322220 is an abundant number, since it is smaller than the sum of its proper divisors (70598141172).

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

31120322220 is a wasteful number, since it uses less digits than its factorization.

31120322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31120322220 its reverse (2222302113), we get a palindrome (33342624333).

The spelling of 31120322220 in words is "thirty-one billion, one hundred twenty million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2633 5051 5266 7899 10102 10532 13165 15153 15798 20204 23697 25255 26330 30306 31596 34229 39495 45459 47394 50510 52660 60612 65663 68458 75765 78990 90918 94788 101020 102687 118485 131326 136916 151530 157980 171145 181836 196989 205374 227295 236970 262652 303060 308061 328315 342290 393978 410748 454590 473940 513435 590967 616122 656630 684580 787956 909180 984945 1026870 1181934 1232244 1313260 1540305 1969890 2053740 2363868 2954835 3080610 3939780 5909670 6161220 11819340 13299283 26598566 39897849 53197132 66496415 79795698 119693547 132992830 159591396 172890679 199489245 239387094 265985660 345781358 398978490 478774188 518672037 598467735 691562716 797956980 864453395 1037344074 1196935470 1556016111 1728906790 2074688148 2393870940 2593360185 3112032222 3457813580 5186720370 6224064444 7780080555 10373440740 15560161110 31120322220