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21121202176 = 21161169067
BaseRepresentation
bin10011101010111010…
…111111100000000000
32000111222021020111021
4103222322333200000
5321224011432201
613411500355224
71345255153624
oct235272774000
960458236437
1021121202176
118a59405898
124115545b14
131cb7a6cc89
141045183184
158393ddea1
hex4eaebf800

21121202176 has 48 divisors (see below), whose sum is σ = 42924674520. Its totient is φ = 10387415040.

The previous prime is 21121202171. The next prime is 21121202177. The reversal of 21121202176 is 67120212112.

It is a super-2 number, since 2×211212021762 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21121202176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121202171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40395 + ... + 209461.

Almost surely, 221121202176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21462337260).

21121202176 is an abundant number, since it is smaller than the sum of its proper divisors (21803472344).

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

21121202176 is an equidigital number, since it uses as much as digits as its factorization.

21121202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169150 (or 169130 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 21121202176 its reverse (67120212112), we get a palindrome (88241414288).

The spelling of 21121202176 in words is "twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3904 7808 15616 31232 62464 124928 169067 338134 676268 1352536 2705072 5410144 10313087 10820288 20626174 21640576 41252348 43281152 82504696 86562304 165009392 173124608 330018784 346249216 660037568 1320075136 2640150272 5280300544 10560601088 21121202176