Search a number
-
+
10221031132221 = 3713197732549171
BaseRepresentation
bin1001010010111100010011…
…1011100000110000111101
31100012010021020022011001210
42110233010323200300331
52314430132432212341
633423251001155033
72103305452101510
oct224570473406075
940163236264053
1010221031132221
113290795681128
121190aa278ba79
13591aba66c920
142749b4428d77
1512ad14913c16
hex94bc4ee0c3d

10221031132221 has 64 divisors (see below), whose sum is σ = 17678609786880. Its totient is φ = 5100950350080.

The previous prime is 10221031132217. The next prime is 10221031132237. The reversal of 10221031132221 is 12223113012201.

10221031132221 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 10221031132221 - 22 = 10221031132217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221031132211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2734966 + ... + 5284136.

It is an arithmetic number, because the mean of its divisors is an integer number (276228277920).

Almost surely, 210221031132221 is an apocalyptic number.

It is an amenable number.

10221031132221 is a deficient number, since it is larger than the sum of its proper divisors (7457578654659).

10221031132221 is a wasteful number, since it uses less digits than its factorization.

10221031132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549986.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10221031132221 its reverse (12223113012201), we get a palindrome (22444144144422).

The spelling of 10221031132221 in words is "ten trillion, two hundred twenty-one billion, thirty-one million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 773 1729 2319 5187 5411 10049 14687 16233 30147 44061 70343 102809 190931 211029 308427 572793 1336517 2549171 4009551 7647513 17844197 33139223 48434249 53532591 99417669 145302747 231974561 339039743 629645237 695923683 1017119229 1888935711 1970509183 4407516659 5911527549 13222549977 13793564281 25616619379 37439674477 41380692843 76849858137 112319023431 179316335653 262077721339 486715768201 537949006959 786233164017 1460147304603 3407010377407 10221031132221