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10221012201 = 331373119551
BaseRepresentation
bin10011000010011100…
…00100010011101001
3222101022122012212110
421201032010103221
5131413034342301
64410115432533
7511200112251
oct114116042351
928338565773
1010221012201
114375549824
121b92bb5749
13c6b72081a
146cd654961
153ec4b80d6
hex2613844e9

10221012201 has 32 divisors (see below), whose sum is σ = 14495809536. Its totient is φ = 6394680000.

The previous prime is 10221012163. The next prime is 10221012257.

10221012201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10221012201 - 211 = 10221010153 is a prime.

It is a super-3 number, since 3×102210122013 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221012281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065376 + ... + 1074926.

It is an arithmetic number, because the mean of its divisors is an integer number (452994048).

Almost surely, 210221012201 is an apocalyptic number.

It is an amenable number.

10221012201 is a deficient number, since it is larger than the sum of its proper divisors (4274797335).

10221012201 is a wasteful number, since it uses less digits than its factorization.

10221012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933.

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

It can be divided in two parts, 102210 and 12201, that added together give a palindrome (114411).

The spelling of 10221012201 in words is "ten billion, two hundred twenty-one million, twelve thousand, two hundred one".

Divisors: 1 3 31 37 93 111 311 933 1147 3441 9551 9641 11507 28653 28923 34521 296081 353387 356717 888243 1060161 1070151 2970361 8911083 10954997 32864991 92081191 109903357 276243573 329710071 3407004067 10221012201