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2202012120312 = 233344572287301
BaseRepresentation
bin100000000010110010001…
…001100111010011111000
321210111210000021211122000
4200002302021213103320
5242034210100322222
64403331305501000
7315042625124034
oct40026211472370
97714700254560
102202012120312
11779960487834
122b69214a1760
1312c8586b2584
1478813ca31c4
153c42ce0a9ac
hex200b22674f8

2202012120312 has 64 divisors (see below), whose sum is σ = 6118075389600. Its totient is φ = 733839033600.

The previous prime is 2202012120281. The next prime is 2202012120391. The reversal of 2202012120312 is 2130212102022.

2202012120312 is a `hidden beast` number, since 220 + 2 + 0 + 12 + 120 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180939 + ... + 2106362.

Almost surely, 22202012120312 is an apocalyptic number.

It is an amenable number.

2202012120312 is an abundant number, since it is smaller than the sum of its proper divisors (3916063269288).

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

2202012120312 is a wasteful number, since it uses less digits than its factorization.

2202012120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291773 (or 2291763 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2202012120312 its reverse (2130212102022), we get a palindrome (4332224222334).

The spelling of 2202012120312 in words is "two trillion, two hundred two billion, twelve million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4457 8914 13371 17828 26742 35656 40113 53484 80226 106968 120339 160452 240678 320904 481356 962712 2287301 4574602 6861903 9149204 13723806 18298408 20585709 27447612 41171418 54895224 61757127 82342836 123514254 164685672 247028508 494057016 10194500557 20389001114 30583501671 40778002228 61167003342 81556004456 91750505013 122334006684 183501010026 244668013368 275251515039 367002020052 550503030078 734004040104 1101006060156 2202012120312