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10212221201 = 7131012394649
BaseRepresentation
bin10011000001011001…
…00010000100010001
3222100201002120212212
421200230202010101
5131403312034301
64405203201505
7511032306440
oct114054420421
928321076785
1010212221201
114370594a36
121b90076295
13c69963350
146cc406d57
153eb82d4bb
hex260b22111

10212221201 has 32 divisors (see below), whose sum is σ = 12749184000. Its totient is φ = 7964812800.

The previous prime is 10212221141. The next prime is 10212221209.

10212221201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-10212221201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194325 + ... + 2198973.

It is an arithmetic number, because the mean of its divisors is an integer number (398412000).

Almost surely, 210212221201 is an apocalyptic number.

It is an amenable number.

10212221201 is a deficient number, since it is larger than the sum of its proper divisors (2536962799).

10212221201 is a wasteful number, since it uses less digits than its factorization.

10212221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009.

The product of its (nonzero) digits is 32, while the sum is 14.

It can be divided in two parts, 1021 and 2221201, that added together give a palindrome (2222222).

The spelling of 10212221201 in words is "ten billion, two hundred twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 7 13 91 101 239 707 1313 1673 3107 4649 9191 21749 24139 32543 60437 168973 313807 423059 469549 1111111 2196649 3286843 6104137 7777777 14444443 42728959 101111101 112222211 785555477 1458888743 10212221201