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2210012212122 = 2321113266045431
BaseRepresentation
bin100000001010001110111…
…111100010101110011010
321211021102112212121110200
4200022032333202232122
5242202101111241442
64411133211323030
7315445106565621
oct40121677425632
97737375777420
102210012212122
11782296308160
122b8394750476
13130531c58400
1478d725926b8
153c74a42334c
hex2028efe2b9a

2210012212122 has 72 divisors (see below), whose sum is σ = 5656394978208. Its totient is φ = 618185224800.

The previous prime is 2210012212097. The next prime is 2210012212129. The reversal of 2210012212122 is 2212122100122.

It is a happy number.

2210012212122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2210012212095 and 2210012212104.

It is not an unprimeable number, because it can be changed into a prime (2210012212129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32989254 + ... + 33056177.

It is an arithmetic number, because the mean of its divisors is an integer number (78561041364).

Almost surely, 22210012212122 is an apocalyptic number.

2210012212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2210012212122 is an abundant number, since it is smaller than the sum of its proper divisors (3446382766086).

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

2210012212122 is a wasteful number, since it uses less digits than its factorization.

2210012212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66045476 (or 66045460 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2210012212122 its reverse (2212122100122), we get a palindrome (4422134312244).

The spelling of 2210012212122 in words is "two trillion, two hundred ten billion, twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1287 1521 1859 2574 3042 3718 5577 11154 16731 33462 66045431 132090862 198136293 396272586 594408879 726499741 858590603 1188817758 1452999482 1717181206 2179499223 2575771809 4358998446 5151543618 6538497669 7727315427 9444496633 11161677839 13076995338 15454630854 18888993266 22323355678 28333489899 33485033517 56666979798 66970067034 85000469697 100455100551 122778456229 170000939394 200910201102 245556912458 368335368687 736670737374 1105006106061 2210012212122