Search a number
-
+
21130200031320 = 2333589679132371
BaseRepresentation
bin1001100110111110000100…
…00100010010000001011000
32202211000201222012211011000
410303133002010102001120
510232144122202000240
6112535025131105000
74310415024542652
oct463370204220130
982730658184130
1021130200031320
1168072a40665a6
1224532112a2160
13ba3752a1c713
145309c855d6d2
152699a1cc4430
hex1337c2112058

21130200031320 has 256 divisors, whose sum is σ = 71238082176000. Its totient is φ = 5570416051200.

The previous prime is 21130200031313. The next prime is 21130200031387. The reversal of 21130200031320 is 2313000203112.

21130200031320 is a `hidden beast` number, since 2 + 1 + 130 + 200 + 0 + 313 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21130200031293 and 21130200031302.

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 63 ways as a sum of consecutive naturals, for example, 652734735 + ... + 652767105.

It is an arithmetic number, because the mean of its divisors is an integer number (278273758500).

Almost surely, 221130200031320 is an apocalyptic number.

21130200031320 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 21130200031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35619041088000).

21130200031320 is an abundant number, since it is smaller than the sum of its proper divisors (50107882144680).

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

21130200031320 is a wasteful number, since it uses less digits than its factorization.

21130200031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39271 (or 39261 counting only the distinct ones).

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

Adding to 21130200031320 its reverse (2313000203112), we get a palindrome (23443200234432).

The spelling of 21130200031320 in words is "twenty-one trillion, one hundred thirty billion, two hundred million, thirty-one thousand, three hundred twenty".