Search a number
-
+
21003212100 = 22352135385439
BaseRepresentation
bin10011100011111000…
…111001010101000100
32000012202020201112110
4103203320321111010
5321003310241400
613352043421020
71342323233343
oct234370712504
960182221473
1021003212100
1189a8847132
1240a1b24770
131c9949ab70
14103362bb5a
1582dd83e50
hex4e3e39544

21003212100 has 72 divisors (see below), whose sum is σ = 65443866880. Its totient is φ = 5170020480.

The previous prime is 21003212077. The next prime is 21003212137. The reversal of 21003212100 is 121230012.

It is a super-2 number, since 2×210032121002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2688820 + ... + 2696619.

Almost surely, 221003212100 is an apocalyptic number.

21003212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003212100 is an abundant number, since it is smaller than the sum of its proper divisors (44440654780).

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

21003212100 is a wasteful number, since it uses less digits than its factorization.

21003212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385469 (or 5385462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21003212100 its reverse (121230012), we get a palindrome (21124442112).

The spelling of 21003212100 in words is "twenty-one billion, three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5385439 10770878 16156317 21541756 26927195 32312634 53854390 64625268 70010707 80781585 107708780 134635975 140021414 161563170 210032121 269271950 280042828 323126340 350053535 403907925 420064242 538543900 700107070 807815850 840128484 1050160605 1400214140 1615631700 1750267675 2100321210 3500535350 4200642420 5250803025 7001070700 10501606050 21003212100