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2120104200 = 233524775181
BaseRepresentation
bin111111001011110…
…0011100100001000
312110202100110012210
41332113203210020
513320221313300
6550213105120
7103352405544
oct17627434410
95422313183
102120104200
1199881a735
124b20281a0
1327a309836
14161800a24
15c61d9050
hex7e5e3908

2120104200 has 96 divisors (see below), whose sum is σ = 6712248960. Its totient is φ = 553324800.

The previous prime is 2120104199. The next prime is 2120104201. The reversal of 2120104200 is 24010212.

2120104200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2120104199) and next prime (2120104201).

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

It is not an unprimeable number, because it can be changed into a prime (2120104201) 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, 9391 + ... + 65790.

It is an arithmetic number, because the mean of its divisors is an integer number (69919260).

Almost surely, 22120104200 is an apocalyptic number.

2120104200 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 2120104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356124480).

2120104200 is an abundant number, since it is smaller than the sum of its proper divisors (4592144760).

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

2120104200 is a wasteful number, since it uses less digits than its factorization.

2120104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75247 (or 75238 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120104200 is about 46044.5892586740. The cubic root of 2120104200 is about 1284.6527043203.

Adding to 2120104200 its reverse (24010212), we get a palindrome (2144114412).

The spelling of 2120104200 in words is "two billion, one hundred twenty million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 75181 150362 225543 300724 375905 451086 601448 751810 902172 1127715 1503620 1804344 1879525 2255430 3007240 3533507 3759050 4510860 5638575 7067014 7518100 9021720 10600521 11277150 14134028 15036200 17667535 21201042 22554300 28268056 35335070 42402084 45108600 53002605 70670140 84804168 88337675 106005210 141340280 176675350 212010420 265013025 353350700 424020840 530026050 706701400 1060052100 2120104200