Search a number
-
+
21231310100 = 2252711131131877
BaseRepresentation
bin10011110001011111…
…000001010100010100
32000210122110022011112
4103301133001110110
5321440203410400
613430432354152
71351063105160
oct236137012424
960718408145
1021231310100
119005580580
1241463a5958
1320048124b0
141055a45ca0
15843ddd835
hex4f17c1514

21231310100 has 288 divisors, whose sum is σ = 62439503616. Its totient is φ = 6051225600.

The previous prime is 21231310073. The next prime is 21231310117. The reversal of 21231310100 is 101313212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11310362 + ... + 11312238.

It is an arithmetic number, because the mean of its divisors is an integer number (216803832).

Almost surely, 221231310100 is an apocalyptic number.

21231310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31219751808).

21231310100 is an abundant number, since it is smaller than the sum of its proper divisors (41208193516).

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

21231310100 is a wasteful number, since it uses less digits than its factorization.

21231310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21231310100 its reverse (101313212), we get a palindrome (21332623312).

The spelling of 21231310100 in words is "twenty-one billion, two hundred thirty-one million, three hundred ten thousand, one hundred".