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2120121318 = 23727211297
BaseRepresentation
bin111111001011110…
…0111101111100110
312110202101022200210
41332113213233212
513320222340233
6550213320250
7103352506500
oct17627475746
95422338623
102120121318
11998831587
124b2036086
1327a314573
14161806d70
15c61de163
hex7e5e7be6

2120121318 has 24 divisors (see below), whose sum is σ = 4932527832. Its totient is φ = 605748864.

The previous prime is 2120121313. The next prime is 2120121319. The reversal of 2120121318 is 8131210212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2120121294 and 2120121303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120121313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3605355 + ... + 3605942.

It is an arithmetic number, because the mean of its divisors is an integer number (205521993).

Almost surely, 22120121318 is an apocalyptic number.

2120121318 is an abundant number, since it is smaller than the sum of its proper divisors (2812406514).

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

2120121318 is a wasteful number, since it uses less digits than its factorization.

2120121318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211316 (or 7211309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 2120121318 is about 46044.7751433320. The cubic root of 2120121318 is about 1284.6561617959.

The spelling of 2120121318 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 7211297 14422594 21633891 43267782 50479079 100958158 151437237 302874474 353353553 706707106 1060060659 2120121318