Search a number
-
+
21110100012 = 2233409147779
BaseRepresentation
bin10011101010010000…
…101001000000101100
32000111012101012012000
4103222100221000230
5321213141200022
613410422412300
71345061614041
oct235220510054
960435335160
1021110100012
118a53112651
124111891090
131cb5683851
1410438d31c8
158384496ac
hex4ea42902c

21110100012 has 48 divisors (see below), whose sum is σ = 54744412800. Its totient is φ = 7034832720.

The previous prime is 21110099971. The next prime is 21110100023. The reversal of 21110100012 is 21000101112.

Adding to 21110100012 its reverse (21000101112), we get a palindrome (42110201124).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21110099967 and 21110100003.

It is an unprimeable number.

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, 417939 + ... + 465717.

It is an arithmetic number, because the mean of its divisors is an integer number (1140508600).

Almost surely, 221110100012 is an apocalyptic number.

It is an amenable number.

21110100012 is an abundant number, since it is smaller than the sum of its proper divisors (33634312788).

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

21110100012 is a wasteful number, since it uses less digits than its factorization.

21110100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51883 (or 51875 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 21110100012 in words is "twenty-one billion, one hundred ten million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4091 8182 12273 16364 24546 36819 47779 49092 73638 95558 110457 143337 147276 191116 220914 286674 430011 441828 573348 860022 1290033 1720044 2580066 5160132 195463889 390927778 586391667 781855556 1172783334 1759175001 2345566668 3518350002 5277525003 7036700004 10555050006 21110100012