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31121220 = 223513172347
BaseRepresentation
bin111011010110…
…1111101000100
32011120010021210
41312231331010
530431334340
63031011420
7525345264
oct166557504
964503253
1031121220
1116626919
12a509b70
1365a8430
1441c17a4
152aeb180
hex1dadf44

31121220 has 96 divisors (see below), whose sum is σ = 99404928. Its totient is φ = 7206912.

The previous prime is 31121197. The next prime is 31121249. The reversal of 31121220 is 2212113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31121196 and 31121205.

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, 12087 + ... + 14433.

It is an arithmetic number, because the mean of its divisors is an integer number (1035468).

Almost surely, 231121220 is an apocalyptic number.

31121220 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 31121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49702464).

31121220 is an abundant number, since it is smaller than the sum of its proper divisors (68283708).

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

31121220 is a wasteful number, since it uses less digits than its factorization.

31121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31121220 is about 5578.6396191186. The cubic root of 31121220 is about 314.5469930781.

Adding to 31121220 its reverse (2212113), we get a palindrome (33333333).

The spelling of 31121220 in words is "thirty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2347 2652 3315 4420 4694 6630 7041 9388 11735 13260 14082 23470 28164 30511 35205 39899 46940 61022 70410 79798 91533 119697 122044 140820 152555 159596 183066 199495 239394 305110 366132 398990 457665 478788 518687 598485 610220 797980 915330 1037374 1196970 1556061 1830660 2074748 2393940 2593435 3112122 5186870 6224244 7780305 10373740 15560610 31121220