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21132210012320 = 2551112006937507
BaseRepresentation
bin1001100111000001110011…
…10111110000000010100000
32202211012221001100102201202
410303200321313300002200
510232212231230343240
6112540000412020332
74310515602234611
oct463407167600240
982735831312652
1021132210012320
116808135700020
1224536924616a8
13ba39b327caa4
14530b39495c08
15269a6d4a9315
hex133839df00a0

21132210012320 has 48 divisors (see below), whose sum is σ = 54463468536288. Its totient is φ = 7684440003840.

The previous prime is 21132210012317. The next prime is 21132210012413. The reversal of 21132210012320 is 2321001223112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21132210012292 and 21132210012301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6003466994 + ... + 6003470513.

It is an arithmetic number, because the mean of its divisors is an integer number (1134655594506).

Almost surely, 221132210012320 is an apocalyptic number.

21132210012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132210012320 is an abundant number, since it is smaller than the sum of its proper divisors (33331258523968).

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

21132210012320 is a wasteful number, since it uses less digits than its factorization.

21132210012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006937533 (or 12006937525 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21132210012320 its reverse (2321001223112), we get a palindrome (23453211235432).

The spelling of 21132210012320 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred ten million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 12006937507 24013875014 48027750028 60034687535 96055500056 120069375070 132076312577 192111000112 240138750140 264152625154 384222000224 480277500280 528305250308 660381562885 960555000560 1056610500616 1320763125770 1921110001120 2113221001232 2641526251540 4226442002464 5283052503080 10566105006160 21132210012320