Search a number
-
+
21132320001300 = 223252291291627163
BaseRepresentation
bin1001100111000010000000…
…11011010100110100010100
32202211020012201022110020200
410303201000123110310110
510232212442410020200
6112540015341300500
74310521406152314
oct463410033246424
982736181273220
1021132320001300
1168081917a4402
122453703264730
13ba39cccb0121
14530b49d27444
15269a77e83800
hex1338406d4d14

21132320001300 has 216 divisors, whose sum is σ = 68575341001440. Its totient is φ = 5436741945600.

The previous prime is 21132320001293. The next prime is 21132320001313. The reversal of 21132320001300 is 310002323112.

21132320001300 is a `hidden beast` number, since 2 + 11 + 32 + 320 + 0 + 0 + 1 + 300 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33381519 + ... + 34008681.

Almost surely, 221132320001300 is an apocalyptic number.

21132320001300 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 21132320001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34287670500720).

21132320001300 is an abundant number, since it is smaller than the sum of its proper divisors (47443021000140).

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

21132320001300 is a wasteful number, since it uses less digits than its factorization.

21132320001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628503 (or 628493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21132320001300 its reverse (310002323112), we get a palindrome (21442322324412).

The spelling of 21132320001300 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred twenty million, one thousand, three hundred".