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2113124200 = 2352111516361
BaseRepresentation
bin111110111110011…
…1011011101101000
312110021012211110021
41331330323131220
513311424433300
6545403330224
7103236154645
oct17574733550
95407184407
102113124200
11994892540
124ab820974
13278a34765
14160904dcc
15c57aad1a
hex7df3b768

2113124200 has 96 divisors (see below), whose sum is σ = 5395993920. Its totient is φ = 763200000.

The previous prime is 2113124173. The next prime is 2113124201. The reversal of 2113124200 is 24213112.

It is not an unprimeable number, because it can be changed into a prime (2113124201) 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, 329020 + ... + 335380.

It is an arithmetic number, because the mean of its divisors is an integer number (56208270).

Almost surely, 22113124200 is an apocalyptic number.

2113124200 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 2113124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697996960).

2113124200 is an abundant number, since it is smaller than the sum of its proper divisors (3282869720).

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

2113124200 is a wasteful number, since it uses less digits than its factorization.

2113124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2113124200 is about 45968.7306764065. The cubic root of 2113124200 is about 1283.2413374582.

Adding to 2113124200 its reverse (24213112), we get a palindrome (2137337312).

It can be divided in two parts, 211312 and 4200, that added together give a palindrome (215512).

The spelling of 2113124200 in words is "two billion, one hundred thirteen million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 151 200 220 275 302 440 550 604 755 1100 1208 1510 1661 2200 3020 3322 3775 6040 6361 6644 7550 8305 12722 13288 15100 16610 25444 30200 31805 33220 41525 50888 63610 66440 69971 83050 127220 139942 159025 166100 254440 279884 318050 332200 349855 559768 636100 699710 960511 1272200 1399420 1749275 1921022 2798840 3498550 3842044 4802555 6997100 7684088 9605110 10565621 13994200 19210220 21131242 24012775 38420440 42262484 48025550 52828105 84524968 96051100 105656210 192102200 211312420 264140525 422624840 528281050 1056562100 2113124200