Search a number
-
+
211221221000202 = 23273534748892059
BaseRepresentation
bin110000000001101011000101…
…110110001100010000001010
31000200212112220001121221000200
4300001223011312030100022
5210141122030034001302
62025121404522513030
762330141522133330
oct6001530566142012
91020775801557020
10211221221000202
1161335464801a56
121b834107665776
1390b20ca34494a
143a2323979bb50
151964536c2181c
hexc01ac5d8c40a

211221221000202 has 48 divisors (see below), whose sum is σ = 524505630242880. Its totient is φ = 60177960158976.

The previous prime is 211221221000173. The next prime is 211221221000213. The reversal of 211221221000202 is 202000122122112.

It is a happy number.

211221221000202 is a `hidden beast` number, since 21 + 1 + 221 + 221 + 0 + 0 + 0 + 202 = 666.

It is a super-2 number, since 2×2112212210002022 (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, 2374401552 + ... + 2374490507.

It is an arithmetic number, because the mean of its divisors is an integer number (10927200630060).

Almost surely, 2211221221000202 is an apocalyptic number.

211221221000202 is an abundant number, since it is smaller than the sum of its proper divisors (313284409242678).

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

211221221000202 is a wasteful number, since it uses less digits than its factorization.

211221221000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748892427 (or 4748892424 counting only the distinct ones).

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

Adding to 211221221000202 its reverse (202000122122112), we get a palindrome (413221343122314).

The spelling of 211221221000202 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 353 706 1059 2118 2471 3177 4942 6354 7413 14826 22239 44478 4748892059 9497784118 14246676177 28493352354 33242244413 42740028531 66484488826 85480057062 99726733239 199453466478 299180199717 598360399434 1676358896827 3352717793654 5029076690481 10058153380962 11734512277789 15087230071443 23469024555578 30174460142886 35203536833367 70407073666734 105610610500101 211221221000202