Search a number
-
+
21415200105 = 35131911235147
BaseRepresentation
bin10011111100011100…
…100000010101101001
32001021110110212211110
4103330130200111221
5322324242400410
613501002020533
71355455124505
oct237434402551
961243425743
1021415200105
11909a35a892
124197aa7749
132033948b50
141072233305
15855114720
hex4fc720569

21415200105 has 64 divisors (see below), whose sum is σ = 38884285440. Its totient is φ = 9977147136.

The previous prime is 21415200071. The next prime is 21415200137. The reversal of 21415200105 is 50100251412.

It is not a de Polignac number, because 21415200105 - 26 = 21415200041 is a prime.

It is a super-2 number, since 2×214152001052 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4158142 + ... + 4163288.

It is an arithmetic number, because the mean of its divisors is an integer number (607566960).

Almost surely, 221415200105 is an apocalyptic number.

It is an amenable number.

21415200105 is a deficient number, since it is larger than the sum of its proper divisors (17469085335).

21415200105 is a wasteful number, since it uses less digits than its factorization.

21415200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310.

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 21415200105 its reverse (50100251412), we get a palindrome (71515451517).

The spelling of 21415200105 in words is "twenty-one billion, four hundred fifteen million, two hundred thousand, one hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1123 1235 3369 3705 5147 5615 14599 15441 16845 21337 25735 43797 64011 66911 72995 77205 97793 106685 200733 218985 277381 293379 320055 334555 488965 832143 1003665 1271309 1386905 1466895 3813927 4160715 5780081 6356545 17340243 19069635 28900405 75141053 86701215 109821539 225423159 329464617 375705265 549107695 1127115795 1427680007 1647323085 4283040021 7138400035 21415200105