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210021022120221 = 38132462347697
BaseRepresentation
bin101111110000001101010100…
…011010110011100100011101
31000112121210222010200200000000
4233300031110122303210131
5210011441023130321341
62022402154155324513
762144342500026264
oct5760152432634435
91015553863620000
10210021022120221
1160a12462828444
121b67b593450739
139025b887a56a0
1439c1100aa35db
1519431de84d8b6
hexbf03546b391d

210021022120221 has 36 divisors (see below), whose sum is σ = 339247491744252. Its totient is φ = 129243705867648.

The previous prime is 210021022120211. The next prime is 210021022120223. The reversal of 210021022120221 is 122021220120012.

It is a happy number.

210021022120221 is a `hidden beast` number, since 2 + 10 + 0 + 210 + 221 + 2 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48278330924121 + 161742691196100 = 6948261^2 + 12717810^2 .

It is not a de Polignac number, because 210021022120221 - 213 = 210021022112029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210021022120194 and 210021022120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021022120223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1231088556 + ... + 1231259141.

Almost surely, 2210021022120221 is an apocalyptic number.

It is an amenable number.

210021022120221 is a deficient number, since it is larger than the sum of its proper divisors (129226469624031).

210021022120221 is an frugal number, since it uses more digits than its factorization.

210021022120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462347734 (or 2462347713 counting only the distinct ones).

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

Adding to 210021022120221 its reverse (122021220120012), we get a palindrome (332042242240233).

The spelling of 210021022120221 in words is "two hundred ten trillion, twenty-one billion, twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 2187 3159 6561 9477 28431 85293 2462347697 7387043091 22161129273 32010520061 66483387819 96031560183 199450163457 288094680549 598350490371 864284041647 1795051471113 2592852124941 5385154413339 7778556374823 16155463240017 23335669124469 70007007373407 210021022120221