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21214001232 = 2432612415073
BaseRepresentation
bin10011110000011100…
…111111100001010000
32000202102212220212100
4103300130333201100
5321421241014412
613425013400400
71350463015044
oct236034774120
960672786770
1021214001232
118aa6829126
124140639100
132001061c68
14105361c024
1584261eedc
hex4f073f850

21214001232 has 60 divisors (see below), whose sum is σ = 60343038964. Its totient is φ = 6955407360.

The previous prime is 21214001209. The next prime is 21214001257. The reversal of 21214001232 is 23210041212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10657671696 + 10556329536 = 103236^2 + 102744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1198753 + ... + 1216320.

Almost surely, 221214001232 is an apocalyptic number.

It is an amenable number.

21214001232 is an abundant number, since it is smaller than the sum of its proper divisors (39129037732).

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

21214001232 is a wasteful number, since it uses less digits than its factorization.

21214001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415148 (or 2415139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21214001232 its reverse (23210041212), we get a palindrome (44424042444).

The spelling of 21214001232 in words is "twenty-one billion, two hundred fourteen million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 2415073 4830146 7245219 9660292 14490438 19320584 21735657 28980876 38641168 43471314 57961752 86942628 115923504 147319453 173885256 294638906 347770512 441958359 589277812 883916718 1178555624 1325875077 1767833436 2357111248 2651750154 3535666872 5303500308 7071333744 10607000616 21214001232