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21012202112 = 271128352733
BaseRepresentation
bin10011100100011011…
…001100001010000000
32000020101011110111212
4103210123030022000
5321013110431422
613353004225252
71342462525316
oct234433141200
960211143455
1021012202112
118a029274a0
1240a4b3b228
131c9b2c7ab5
1410348cc0b6
1582ea5c9e2
hex4e46cc280

21012202112 has 64 divisors (see below), whose sum is σ = 45827955360. Its totient is φ = 9517071360.

The previous prime is 21012202091. The next prime is 21012202117. The reversal of 21012202112 is 21120221012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×210122021123 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21012202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372098 + ... + 424830.

Almost surely, 221012202112 is an apocalyptic number.

21012202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913977680).

21012202112 is an abundant number, since it is smaller than the sum of its proper divisors (24815753248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21012202112 is a wasteful number, since it uses less digits than its factorization.

21012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53041 (or 53029 counting only the distinct ones).

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

Adding to 21012202112 its reverse (21120221012), we get a palindrome (42132423124).

The spelling of 21012202112 in words is "twenty-one billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 283 352 566 704 1132 1408 2264 3113 4528 6226 9056 12452 18112 24904 36224 49808 52733 99616 105466 199232 210932 398464 421864 580063 843728 1160126 1687456 2320252 3374912 4640504 6749824 9281008 14923439 18562016 29846878 37124032 59693756 74248064 119387512 164157829 238775024 328315658 477550048 656631316 955100096 1313262632 1910200192 2626525264 5253050528 10506101056 21012202112