Search a number
-
+
21302000112 = 24329142910709
BaseRepresentation
bin10011110101101100…
…101011100111110000
32000222120110201122010
4103311230223213300
5322111303000422
613441435442520
71352612004411
oct236554534760
960876421563
1021302000112
119041472a78
124165bb6440
1320163630c3
1410611a7808
1584a203b0c
hex4f5b2b9f0

21302000112 has 80 divisors (see below), whose sum is σ = 56972916000. Its totient is φ = 6850378752.

The previous prime is 21302000077. The next prime is 21302000113. The reversal of 21302000112 is 21100020312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983814 + ... + 1994522.

It is an arithmetic number, because the mean of its divisors is an integer number (712161450).

Almost surely, 221302000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28486458000).

21302000112 is an abundant number, since it is smaller than the sum of its proper divisors (35670915888).

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

21302000112 is a wasteful number, since it uses less digits than its factorization.

21302000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12178 (or 12172 counting only the distinct ones).

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

Adding to 21302000112 its reverse (21100020312), we get a palindrome (42402020424).

The spelling of 21302000112 in words is "twenty-one billion, three hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1429 2858 4287 5716 8574 10709 11432 17148 21418 22864 32127 34296 41441 42836 64254 68592 82882 85672 124323 128508 165764 171344 248646 257016 310561 331528 497292 514032 621122 663056 931683 994584 1242244 1863366 1989168 2484488 3726732 4968976 7453464 14906928 15303161 30606322 45909483 61212644 91818966 122425288 183637932 244850576 367275864 443791669 734551728 887583338 1331375007 1775166676 2662750014 3550333352 5325500028 7100666704 10651000056 21302000112