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2120112120 = 233572523943
BaseRepresentation
bin111111001011110…
…0101011111111000
312110202100212002010
41332113211133320
513320222041440
6550213205520
7103352440620
oct17627453770
95422325063
102120112120
11998825685
124b20308a0
1327a310319
14161803880
15c61db580
hex7e5e57f8

2120112120 has 64 divisors (see below), whose sum is σ = 7268958720. Its totient is φ = 484596864.

The previous prime is 2120112107. The next prime is 2120112161. The reversal of 2120112120 is 212110212.

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 = 2120112096 and 2120112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261132 + ... + 1262811.

It is an arithmetic number, because the mean of its divisors is an integer number (113577480).

Almost surely, 22120112120 is an apocalyptic number.

2120112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120112120 is an abundant number, since it is smaller than the sum of its proper divisors (5148846600).

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

2120112120 is a wasteful number, since it uses less digits than its factorization.

2120112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523964 (or 2523960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2120112120 is about 46044.6752621842. The cubic root of 2120112120 is about 1284.6543039959.

Adding to 2120112120 its reverse (212110212), we get a palindrome (2332222332).

The spelling of 2120112120 in words is "two billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2523943 5047886 7571829 10095772 12619715 15143658 17667601 20191544 25239430 30287316 35335202 37859145 50478860 53002803 60574632 70670404 75718290 88338005 100957720 106005606 141340808 151436580 176676010 212011212 265014015 302873160 353352020 424022424 530028030 706704040 1060056060 2120112120