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213422241033 = 32234143976029
BaseRepresentation
bin1100011011000011110…
…1001111010100001001
3202101212202121011202200
43012300331033110021
511444042043203113
6242013403150413
721263542055031
oct3066075172411
9671782534680
10213422241033
118256a322591
1235442815409
131718301b931
14a4889608c1
1558419ce873
hex31b0f4f509

213422241033 has 96 divisors (see below), whose sum is σ = 340721821440. Its totient is φ = 128329850880.

The previous prime is 213422241031. The next prime is 213422241107. The reversal of 213422241033 is 330142224312.

213422241033 is a `hidden beast` number, since 21 + 3 + 4 + 222 + 410 + 3 + 3 = 666.

213422241033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213422241033 - 21 = 213422241031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213422240988 and 213422241006.

It is not an unprimeable number, because it can be changed into a prime (213422241031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35396263 + ... + 35402291.

It is an arithmetic number, because the mean of its divisors is an integer number (3549185640).

Almost surely, 2213422241033 is an apocalyptic number.

213422241033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213422241033 is a deficient number, since it is larger than the sum of its proper divisors (127299580407).

213422241033 is a wasteful number, since it uses less digits than its factorization.

213422241033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213422241033 its reverse (330142224312), we get a palindrome (543564465345).

The spelling of 213422241033 in words is "two hundred thirteen billion, four hundred twenty-two million, two hundred forty-one thousand, thirty-three".

Divisors: 1 3 9 23 41 43 69 97 123 129 207 291 369 387 873 943 989 1763 2231 2829 2967 3977 4171 5289 6029 6693 8487 8901 11931 12513 15867 18087 20079 35793 37539 40549 54261 91471 95933 121647 138667 171011 247189 259247 274413 287799 364941 416001 513033 584813 741567 777741 823239 863397 1248003 1539099 1754439 2224701 2333223 3933253 5263317 5685347 5962681 10629127 11799759 13450699 17056041 17888043 23977333 25146959 31887381 35399277 40352097 51168123 53664129 71931999 75440877 95662143 121056291 215795997 226322631 244469921 551478659 578380057 733409763 1031025319 1654435977 1735140171 2200229289 3093075957 4963307931 5205420513 9279227871 23713582337 71140747011 213422241033