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2202012102012 = 2233111251526121
BaseRepresentation
bin100000000010110010001…
…001100010110101111100
321210111210000020220112020
4200002302021202311330
5242034210044231022
64403331305240140
7315042625016502
oct40026211426574
97714700226466
102202012102012
11779960475008
122b6921493050
1312c8586a7148
1478813c9a672
153c42ce0535c
hex200b2262d7c

2202012102012 has 48 divisors (see below), whose sum is σ = 5304252570624. Its totient is φ = 710262000000.

The previous prime is 2202012102011. The next prime is 2202012102019. The reversal of 2202012102012 is 2102012102022.

It is a junction number, because it is equal to n+sod(n) for n = 2202012101982 and 2202012102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202012102011) by changing a digit.

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, 3922312 + ... + 4448432.

It is an arithmetic number, because the mean of its divisors is an integer number (110505261888).

Almost surely, 22202012102012 is an apocalyptic number.

It is an amenable number.

2202012102012 is an abundant number, since it is smaller than the sum of its proper divisors (3102240468612).

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

2202012102012 is a wasteful number, since it uses less digits than its factorization.

2202012102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537410 (or 537408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2202012102012 its reverse (2102012102022), we get a palindrome (4304024204034).

The spelling of 2202012102012 in words is "two trillion, two hundred two billion, twelve million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 11251 22502 33753 45004 67506 135012 348781 526121 697562 1046343 1052242 1395124 1578363 2092686 2104484 3156726 4185372 6313452 16309751 32619502 48929253 65239004 97858506 195717012 5919387371 11838774742 17758162113 23677549484 35516324226 71032648452 183501008501 367002017002 550503025503 734004034004 1101006051006 2202012102012