Search a number
-
+
213013321200 = 24325259170367
BaseRepresentation
bin1100011001100010010…
…1010101010111110000
3202100211021010220012200
43012120211111113300
511442222402234300
6241505034423200
721250445232651
oct3063045252760
9670737126180
10213013321200
118237a515009
1235349891b00
13171193a6334
14a44a517528
15581ab58200
hex31989555f0

213013321200 has 90 divisors (see below), whose sum is σ = 739215407424. Its totient is φ = 56803551360.

The previous prime is 213013321153. The next prime is 213013321211. The reversal of 213013321200 is 2123310312.

213013321200 is a `hidden beast` number, since 2 + 130 + 1 + 332 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 29581584 + ... + 29588783.

Almost surely, 2213013321200 is an apocalyptic number.

213013321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013321200 is an abundant number, since it is smaller than the sum of its proper divisors (526202086224).

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

213013321200 is a wasteful number, since it uses less digits than its factorization.

213013321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59170391 (or 59170377 counting only the distinct ones).

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

Adding to 213013321200 its reverse (2123310312), we get a palindrome (215136631512).

The spelling of 213013321200 in words is "two hundred thirteen billion, thirteen million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 59170367 118340734 177511101 236681468 295851835 355022202 473362936 532533303 591703670 710044404 887555505 946725872 1065066606 1183407340 1420088808 1479259175 1775111010 2130133212 2366814680 2662666515 2840177616 2958518350 3550222020 4260266424 4437777525 4733629360 5325333030 5917036700 7100444040 8520532848 8875555050 10650666060 11834073400 13313332575 14200888080 17751110100 21301332120 23668146800 26626665150 35502220200 42602664240 53253330300 71004440400 106506660600 213013321200