Search a number
-
+
211222012202010 = 23257733036107693
BaseRepresentation
bin110000000001101011110101…
…000000011000110000011010
31000200212121221012102010212100
4300001223311000120300122
5210141130140110431020
62025122015225024230
762330200240214205
oct6001536500306032
91020777835363770
10211222012202010
1161335830383647
121b8342a8625076
1390b21c5236cb4
143a232b28b693c
15196458140ba90
hexc01af5018c1a

211222012202010 has 48 divisors (see below), whose sum is σ = 549887681106504. Its totient is φ = 56253003317376.

The previous prime is 211222012201987. The next prime is 211222012202039. The reversal of 211222012202010 is 10202210222112.

It is a happy number.

211222012202010 is a `hidden beast` number, since 21 + 1 + 2 + 220 + 1 + 220 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119092019359041 + 92129992842969 = 10912929^2 + 9598437^2 .

It is a super-2 number, since 2×2112220122020102 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1517984277 + ... + 1518123416.

Almost surely, 2211222012202010 is an apocalyptic number.

211222012202010 is an abundant number, since it is smaller than the sum of its proper divisors (338665668904494).

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

211222012202010 is a wasteful number, since it uses less digits than its factorization.

211222012202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036108479 (or 3036108476 counting only the distinct ones).

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

Adding to 211222012202010 its reverse (10202210222112), we get a palindrome (221424222424122).

The spelling of 211222012202010 in words is "two hundred eleven trillion, two hundred twenty-two billion, twelve million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 773 1546 2319 3865 4638 6957 7730 11595 13914 23190 34785 69570 3036107693 6072215386 9108323079 15180538465 18216646158 27324969237 30361076930 45541615395 54649938474 91083230790 136624846185 273249692370 2346911246689 4693822493378 7040733740067 11734556233445 14081467480134 21122201220201 23469112466890 35203668700335 42244402440402 70407337400670 105611006101005 211222012202010