Search a number
-
+
212011220122218 = 233111993179087429
BaseRepresentation
bin110000001101001010110101…
…011101101011101001101010
31000210200002000110100102112000
4300031022311131223221222
5210242042434322402333
62030524335425431430
762441206450645566
oct6015126535535152
91023602013312460
10212011220122218
116160a4a9702030
121b94124079b576
13913b75938732a
143a4d57d8126a6
151979d72030713
hexc0d2b576ba6a

212011220122218 has 64 divisors (see below), whose sum is σ = 514224483004800. Its totient is φ = 64213588183680.

The previous prime is 212011220122217. The next prime is 212011220122283. The reversal of 212011220122218 is 812221022110212.

It is a happy number.

212011220122218 is a `hidden beast` number, since 2 + 1 + 201 + 1 + 220 + 1 + 22 + 218 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212011220122191 and 212011220122200.

It is not an unprimeable number, because it can be changed into a prime (212011220122217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88359873 + ... + 90727556.

It is an arithmetic number, because the mean of its divisors is an integer number (8034757546950).

Almost surely, 2212011220122218 is an apocalyptic number.

212011220122218 is an abundant number, since it is smaller than the sum of its proper divisors (302213262882582).

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

212011220122218 is a wasteful number, since it uses less digits than its factorization.

212011220122218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179089444 (or 179089438 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 212011220122218 in words is "two hundred twelve trillion, eleven billion, two hundred twenty million, one hundred twenty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1993 3986 5979 11958 17937 21923 35874 43846 53811 65769 107622 131538 197307 394614 591921 1183842 179087429 358174858 537262287 1074524574 1611786861 1969961719 3223573722 3939923438 4835360583 5909885157 9670721166 11819770314 17729655471 35459310942 53188966413 106377932826 356921245997 713842491994 1070763737991 2141527475982 3212291213973 3926133705967 6424582427946 7852267411934 9636873641919 11778401117901 19273747283838 23556802235802 35335203353703 70670406707406 106005610061109 212011220122218