Search a number
-
+
122222200020019 = 1131617380490203
BaseRepresentation
bin11011110010100100010010…
…110100001101110000110011
3121000202022212021011102202121
4123302210102310031300303
5112004442031201120034
61111540034211255111
734513156024534531
oct3362442264156063
9530668767142677
10122222200020019
1135a42164648880
121185b5935aa497
1353276723c5618
14222782c16b151
15e1e42ea461b4
hex6f2912d0dc33

122222200020019 has 32 divisors (see below), whose sum is σ = 141806997485568. Its totient is φ = 104315301792000.

The previous prime is 122222200020013. The next prime is 122222200020097. The reversal of 122222200020019 is 910020002222221.

It is a cyclic number.

It is not a de Polignac number, because 122222200020019 - 219 = 122222199495731 is a prime.

It is a super-2 number, since 2×1222222000200192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122222200019975 and 122222200020002.

It is not an unprimeable number, because it can be changed into a prime (122222200020013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38726629 + ... + 41763574.

It is an arithmetic number, because the mean of its divisors is an integer number (4431468671424).

Almost surely, 2122222200020019 is an apocalyptic number.

122222200020019 is a deficient number, since it is larger than the sum of its proper divisors (19584797465549).

122222200020019 is a wasteful number, since it uses less digits than its factorization.

122222200020019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80490379.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 122222200020019 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred million, twenty thousand, nineteen".

Divisors: 1 11 31 61 73 341 671 803 1891 2263 4453 20801 24893 48983 138043 1518473 80490203 885392233 2495196293 4909902383 5875784819 27447159223 54008926213 64633633009 152206973873 182149329389 358422873959 1674276712603 2003642623279 3942651613549 11111109092729 122222200020019