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2113030200 = 2335218119457
BaseRepresentation
bin111110111110010…
…0100100000111000
312110021001001111210
41331330210200320
513311413431300
6545401323120
7103235313621
oct17574444070
95407031453
102113030200
11994828956
124ab7964a0
13278a00a38
141608bca48
15c578d050
hex7df24838

2113030200 has 96 divisors (see below), whose sum is σ = 6586922160. Its totient is φ = 560332800.

The previous prime is 2113030193. The next prime is 2113030201. The reversal of 2113030200 is 20303112.

It is a happy number.

2113030200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21130302002 = 8929793252224080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113030201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98872 + ... + 118328.

Almost surely, 22113030200 is an apocalyptic number.

2113030200 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 2113030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293461080).

2113030200 is an abundant number, since it is smaller than the sum of its proper divisors (4473891960).

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

2113030200 is a wasteful number, since it uses less digits than its factorization.

2113030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19657 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2113030200 is about 45967.7082308875. The cubic root of 2113030200 is about 1283.2223093174. Note that the first 3 decimals are identical.

Adding to 2113030200 its reverse (20303112), we get a palindrome (2133333312).

The spelling of 2113030200 in words is "two billion, one hundred thirteen million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 181 200 300 362 543 600 724 905 1086 1448 1810 2172 2715 3620 4344 4525 5430 7240 9050 10860 13575 18100 19457 21720 27150 36200 38914 54300 58371 77828 97285 108600 116742 155656 194570 233484 291855 389140 466968 486425 583710 778280 972850 1167420 1459275 1945700 2334840 2918550 3521717 3891400 5837100 7043434 10565151 11674200 14086868 17608585 21130302 28173736 35217170 42260604 52825755 70434340 84521208 88042925 105651510 140868680 176085850 211303020 264128775 352171700 422606040 528257550 704343400 1056515100 2113030200