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21110212000 = 255310152253
BaseRepresentation
bin10011101010010001…
…000100010110100000
32000111012120212210201
4103222101010112200
5321213203241000
613410425034544
71345062561403
oct235221042640
960435525721
1021110212000
118a531897a9
124111925a54
131cb56c2807
141043921d3a
1583846c96a
hex4ea4445a0

21110212000 has 96 divisors (see below), whose sum is σ = 52382335824. Its totient is φ = 8360320000.

The previous prime is 21110211973. The next prime is 21110212003. The reversal of 21110212000 is 21201112.

It can be written as a sum of positive squares in 8 ways, for example, as 2881971856 + 18228240144 = 53684^2 + 135012^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21110212003) 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 15 ways as a sum of consecutive naturals, for example, 377874 + ... + 430126.

Almost surely, 221110212000 is an apocalyptic number.

21110212000 is a gapful number since it is divisible by the number (20) 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 21110212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191167912).

21110212000 is an abundant number, since it is smaller than the sum of its proper divisors (31272123824).

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

21110212000 is a wasteful number, since it uses less digits than its factorization.

21110212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52379 (or 52361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21110212000 its reverse (21201112), we get a palindrome (21131413112).

The spelling of 21110212000 in words is "twenty-one billion, one hundred ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 52253 80800 101000 104506 202000 209012 261265 404000 418024 522530 836048 1045060 1306325 1672096 2090120 2612650 4180240 5225300 5277553 6531625 8360480 10450600 10555106 13063250 20901200 21110212 26126500 26387765 41802400 42220424 52253000 52775530 84440848 104506000 105551060 131938825 168881696 209012000 211102120 263877650 422204240 527755300 659694125 844408480 1055510600 1319388250 2111021200 2638776500 4222042400 5277553000 10555106000 21110212000