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213103320 = 23356132897
BaseRepresentation
bin11001011001110…
…11001011011000
3112211222202210120
430230323023120
5414023301240
633051313240
75165230323
oct1454731330
9484882716
10213103320
11aa322751
125b44b820
13351c4551
14204337ba
1513a96ad0
hexcb3b2d8

213103320 has 64 divisors (see below), whose sum is σ = 640573920. Its totient is φ = 56715264.

The previous prime is 213103309. The next prime is 213103327. The reversal of 213103320 is 23301312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213103320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103327) 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, 72112 + ... + 75008.

Almost surely, 2213103320 is an apocalyptic number.

213103320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103320 is an abundant number, since it is smaller than the sum of its proper divisors (427470600).

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

213103320 is a wasteful number, since it uses less digits than its factorization.

213103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213103320 is about 14598.0587750564. The cubic root of 213103320 is about 597.3058092233.

Adding to 213103320 its reverse (23301312), we get a palindrome (236404632).

The spelling of 213103320 in words is "two hundred thirteen million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 613 1226 1839 2452 2897 3065 3678 4904 5794 6130 7356 8691 9195 11588 12260 14485 14712 17382 18390 23176 24520 28970 34764 36780 43455 57940 69528 73560 86910 115880 173820 347640 1775861 3551722 5327583 7103444 8879305 10655166 14206888 17758610 21310332 26637915 35517220 42620664 53275830 71034440 106551660 213103320