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2012334120 = 2332541136337
BaseRepresentation
bin111011111110001…
…1100100000101000
312012020120011110100
41313330130200220
513110124142440
6531403145400
7100603362216
oct16774344050
95166504410
102012334120
11942a01455
12481b15260
13260ba5464
14151389cb6
15bb9ec230
hex77f1c828

2012334120 has 96 divisors (see below), whose sum is σ = 6699649320. Its totient is φ = 523530240.

The previous prime is 2012334113. The next prime is 2012334143. The reversal of 2012334120 is 214332102.

2012334120 is a `hidden beast` number, since 20 + 1 + 233 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 784112004 + 1228222116 = 28002^2 + 35046^2 .

It is a super-2 number, since 2×20123341202 = 8098977221032348800, which contains 22 as substring.

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 = 2012334093 and 2012334102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53409 + ... + 82928.

Almost surely, 22012334120 is an apocalyptic number.

2012334120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012334120 is an abundant number, since it is smaller than the sum of its proper divisors (4687315200).

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

2012334120 is a wasteful number, since it uses less digits than its factorization.

2012334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136395 (or 136388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2012334120 is about 44859.0472480190. The cubic root of 2012334120 is about 1262.5057467307.

Adding to 2012334120 its reverse (214332102), we get a palindrome (2226666222).

The spelling of 2012334120 in words is "two billion, twelve million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 136337 272674 409011 545348 681685 818022 1090696 1227033 1363370 1636044 2045055 2454066 2726740 3272088 4090110 4908132 5453480 5589817 6135165 8180220 9816264 11179634 12270330 16360440 16769451 22359268 24540660 27949085 33538902 44718536 49081320 50308353 55898170 67077804 83847255 100616706 111796340 134155608 167694510 201233412 223592680 251541765 335389020 402466824 503083530 670778040 1006167060 2012334120