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3121110120 = 23352310310979
BaseRepresentation
bin1011101000001000…
…0101110001101000
322001111220211012010
42322002011301220
522343001010440
61233412115520
7140225666262
oct27202056150
98044824163
103121110120
111361870257
12731305ba0
133a980982b
14218730b32
15134018580
hexba085c68

3121110120 has 128 divisors (see below), whose sum is σ = 9866188800. Its totient is φ = 788308224.

The previous prime is 3121110073. The next prime is 3121110133. The reversal of 3121110120 is 210111213.

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 = 3121110096 and 3121110105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278791 + ... + 289769.

It is an arithmetic number, because the mean of its divisors is an integer number (77079600).

Almost surely, 23121110120 is an apocalyptic number.

3121110120 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 3121110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933094400).

3121110120 is an abundant number, since it is smaller than the sum of its proper divisors (6745078680).

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

3121110120 is a wasteful number, since it uses less digits than its factorization.

3121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11115 counting only the distinct ones).

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

The square root of 3121110120 is about 55866.8964593524. The cubic root of 3121110120 is about 1461.4019997345.

Adding to 3121110120 its reverse (210111213), we get a palindrome (3331221333).

The spelling of 3121110120 in words is "three billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 103 115 120 138 184 206 230 276 309 345 412 460 515 552 618 690 824 920 1030 1236 1380 1545 2060 2369 2472 2760 3090 4120 4738 6180 7107 9476 10979 11845 12360 14214 18952 21958 23690 28428 32937 35535 43916 47380 54895 56856 65874 71070 87832 94760 109790 131748 142140 164685 219580 252517 263496 284280 329370 439160 505034 658740 757551 1010068 1130837 1262585 1317480 1515102 2020136 2261674 2525170 3030204 3392511 3787755 4523348 5050340 5654185 6060408 6785022 7575510 9046696 10100680 11308370 13570044 15151020 16962555 22616740 26009251 27140088 30302040 33925110 45233480 52018502 67850220 78027753 104037004 130046255 135700440 156055506 208074008 260092510 312111012 390138765 520185020 624222024 780277530 1040370040 1560555060 3121110120