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31121321220 = 223251153296563
BaseRepresentation
bin11100111110111110…
…011010110100000100
32222022220020220220200
4130332332122310010
51002214024234340
622144045530500
72151133602633
oct347676326404
988286226820
1031121321220
11122201a1290
126046573a30
132c1c79c692
14171333751a
15c222c2330
hex73ef9ad04

31121321220 has 144 divisors (see below), whose sum is σ = 104926715712. Its totient is φ = 7402187520.

The previous prime is 31121321207. The next prime is 31121321243. The reversal of 31121321220 is 2212312113.

31121321220 is a `hidden beast` number, since 3 + 1 + 121 + 321 + 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 = 31121321193 and 31121321202.

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, 43342 + ... + 253221.

It is an arithmetic number, because the mean of its divisors is an integer number (728657748).

Almost surely, 231121321220 is an apocalyptic number.

31121321220 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 31121321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52463357856).

31121321220 is an abundant number, since it is smaller than the sum of its proper divisors (73805394492).

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

31121321220 is a wasteful number, since it uses less digits than its factorization.

31121321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296642 (or 296637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31121321220 its reverse (2212312113), we get a palindrome (33333633333).

The spelling of 31121321220 in words is "thirty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 296563 593126 889689 1186252 1482815 1779378 2669067 2965630 3262193 3558756 4448445 5338134 5931260 6524386 8896890 9786579 10676268 13048772 13345335 15717839 16310965 17793780 19573158 26690670 29359737 31435678 32621930 39146316 47153517 48932895 53381340 58719474 62871356 65243860 78589195 94307034 97865790 117438948 141460551 146798685 157178390 172896229 188614068 195731580 235767585 282921102 293597370 314356780 345792458 471535170 518688687 565842204 587194740 691584916 707302755 864481145 943070340 1037377374 1414605510 1556066061 1728962290 2074754748 2593443435 2829211020 3112132122 3457924580 5186886870 6224264244 7780330305 10373773740 15560660610 31121321220