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210222012021201 = 32374332112169029
BaseRepresentation
bin101111110011001000100000…
…010110011011100111010001
31000120100000202110122112100200
4233303020200112123213101
5210023234140034134301
62023034354210405413
762165016301013055
oct5763104026334721
91016300673575320
10210222012021201
1160a8a722344924
121b6b2526590869
13903bb09c0708b
1439cab2a423c65
151948554b5bc86
hexbf322059b9d1

210222012021201 has 48 divisors (see below), whose sum is σ = 312600443697360. Its totient is φ = 136036892344320.

The previous prime is 210222012021169. The next prime is 210222012021257. The reversal of 210222012021201 is 102120210222012.

It is a happy number.

210222012021201 is a `hidden beast` number, since 2 + 102 + 220 + 120 + 21 + 201 = 666.

210222012021201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45984513600 + 210176027507601 = 214440^2 + 14497449^2 .

It is not a de Polignac number, because 210222012021201 - 25 = 210222012021169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210222012020201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3045381355 + ... + 3045450383.

It is an arithmetic number, because the mean of its divisors is an integer number (6512509243695).

Almost surely, 2210222012021201 is an apocalyptic number.

It is an amenable number.

210222012021201 is a deficient number, since it is larger than the sum of its proper divisors (102378431676159).

210222012021201 is a wasteful number, since it uses less digits than its factorization.

210222012021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90626 (or 90623 counting only the distinct ones).

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

Adding to 210222012021201 its reverse (102120210222012), we get a palindrome (312342222243213).

The spelling of 210222012021201 in words is "two hundred ten trillion, two hundred twenty-two billion, twelve million, twenty-one thousand, two hundred one".

Divisors: 1 3 9 37 111 333 433 1299 3897 16021 21121 48063 63363 69029 144189 190089 207087 621261 781477 2344431 2554073 7033293 7662219 9145393 22986657 27436179 29889557 82308537 89668671 269006013 338379541 1015138623 1105913609 1457961509 3045415869 3317740827 4373884527 9953222481 13121653581 53944575833 161833727499 485501182497 631297333397 1893892000191 5681676000573 23358001335689 70074004007067 210222012021201