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31320120 = 233513171181
BaseRepresentation
bin111011101111…
…0100000111000
32011221020010110
41313132200320
531004220440
63035144320
7530134206
oct167364070
964836113
1031320120
11167522a7
12a5a50a0
136647b20
144234076
152b3a080
hex1dde838

31320120 has 128 divisors (see below), whose sum is σ = 107231040. Its totient is φ = 7249920.

The previous prime is 31320109. The next prime is 31320173. The reversal of 31320120 is 2102313.

It is a happy number.

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 = 31320096 and 31320105.

It is a congruent number.

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, 25930 + ... + 27110.

Almost surely, 231320120 is an apocalyptic number.

31320120 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 31320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53615520).

31320120 is an abundant number, since it is smaller than the sum of its proper divisors (75910920).

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

31320120 is a wasteful number, since it uses less digits than its factorization.

31320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31320120 is about 5596.4381529684. The cubic root of 31320120 is about 315.2156749228.

Adding to 31320120 its reverse (2102313), we get a palindrome (33422433).

The spelling of 31320120 in words is "thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1181 1326 1560 1768 2040 2210 2362 2652 3315 3543 4420 4724 5304 5905 6630 7086 8840 9448 11810 13260 14172 15353 17715 20077 23620 26520 28344 30706 35430 40154 46059 47240 60231 61412 70860 76765 80308 92118 100385 120462 122824 141720 153530 160616 184236 200770 230295 240924 261001 301155 307060 368472 401540 460590 481848 522002 602310 614120 783003 803080 921180 1044004 1204620 1305005 1566006 1842360 2088008 2409240 2610010 3132012 3915015 5220020 6264024 7830030 10440040 15660060 31320120