Search a number
-
+
10012201221 = 31117193753479
BaseRepresentation
bin10010101001100011…
…00001000100000101
3221211202201112001110
421110301201010011
5131001110414341
64333300115233
7503053210011
oct112461410405
927752645043
1010012201221
114278698a70
121b35095b19
13c3739cc29
146ada1b541
153d8ebd216
hex254c61105

10012201221 has 128 divisors (see below), whose sum is σ = 17020108800. Its totient is φ = 5154140160.

The previous prime is 10012201219. The next prime is 10012201237. The reversal of 10012201221 is 12210221001.

It is not a de Polignac number, because 10012201221 - 21 = 10012201219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012201197 and 10012201206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012201291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20902060 + ... + 20902538.

It is an arithmetic number, because the mean of its divisors is an integer number (132969600).

Almost surely, 210012201221 is an apocalyptic number.

10012201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012201221 is a deficient number, since it is larger than the sum of its proper divisors (7007907579).

10012201221 is a wasteful number, since it uses less digits than its factorization.

10012201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012201221 its reverse (12210221001), we get a palindrome (22222422222).

The spelling of 10012201221 in words is "ten billion, twelve million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 17 19 33 37 51 53 57 111 159 187 209 323 407 479 561 583 627 629 703 901 969 1007 1221 1437 1749 1887 1961 2109 2703 3021 3553 5269 5883 6919 7733 8143 9101 9911 10659 11077 11951 15807 17119 17723 20757 21571 23199 24429 25387 27303 29733 33231 33337 35853 37259 51357 53169 64713 76161 89573 100011 100111 111777 131461 154717 188309 194953 268719 279257 300333 301291 336737 366707 394383 409849 431579 464151 482353 564927 584859 633403 837771 903873 939319 1010211 1100121 1229547 1294737 1447059 1701887 1900209 2817957 3314201 3704107 4747369 5105661 5305883 5724529 6967433 8200001 9942603 10332509 11112321 14242107 15917649 15968423 17173587 17847061 20902299 24600003 30997527 47905269 53541183 62969819 90200011 175652653 188909457 196317671 270600033 303400037 526957959 588953013 910200111 3337400407 10012201221