Search a number
-
+
213431240240200 = 23527115030369031
BaseRepresentation
bin110000100001110101010101…
…010000100010110001001000
31000222200211100002201120221001
4300201311111100202301020
5210433324140000141300
62033532542545024344
762645620045542553
oct6041652520426110
91028624302646831
10213431240240200
1162007753a7a274
121bb304a26250b4
139212630890b58
143a9c1acc5d69a
1519a1c82a8216a
hexc21d55422c48

213431240240200 has 48 divisors (see below), whose sum is σ = 503216755191360. Its totient is φ = 84170066568000.

The previous prime is 213431240240167. The next prime is 213431240240233. The reversal of 213431240240200 is 2042042134312.

It is an interprime number because it is at equal distance from previous prime (213431240240167) and next prime (213431240240233).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7515170316 + ... + 7515198715.

It is an arithmetic number, because the mean of its divisors is an integer number (10483682399820).

Almost surely, 2213431240240200 is an apocalyptic number.

213431240240200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213431240240200 is an abundant number, since it is smaller than the sum of its proper divisors (289785514951160).

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

213431240240200 is a wasteful number, since it uses less digits than its factorization.

213431240240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15030369118 (or 15030369109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213431240240200 its reverse (2042042134312), we get a palindrome (215473282374512).

The spelling of 213431240240200 in words is "two hundred thirteen trillion, four hundred thirty-one billion, two hundred forty million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 15030369031 30060738062 60121476124 75151845155 120242952248 150303690310 300607380620 375759225775 601214761240 751518451550 1067156201201 1503036903100 2134312402402 3006073806200 4268624804804 5335781006005 8537249609608 10671562012010 21343124024020 26678905030025 42686248048040 53357810060050 106715620120100 213431240240200