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2120102200 = 235283127717
BaseRepresentation
bin111111001011110…
…0011000100111000
312110202100100110201
41332113203010320
513320221232300
6550213051544
7103352366656
oct17627430470
95422310421
102120102200
11998819187
124b2026bb4
1327a308958
141617dddd6
15c61d866a
hex7e5e3138

2120102200 has 48 divisors (see below), whose sum is σ = 4988665080. Its totient is φ = 837816960.

The previous prime is 2120102189. The next prime is 2120102203. The reversal of 2120102200 is 22010212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47259 + ... + 80458.

Almost surely, 22120102200 is an apocalyptic number.

2120102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120102200 is an abundant number, since it is smaller than the sum of its proper divisors (2868562880).

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

2120102200 is a wasteful number, since it uses less digits than its factorization.

2120102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127816 (or 127807 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120102200 is about 46044.5675405905. The cubic root of 2120102200 is about 1284.6523003612.

Adding to 2120102200 its reverse (22010212), we get a palindrome (2142112412).

The spelling of 2120102200 in words is "two billion, one hundred twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 3320 4150 8300 16600 127717 255434 510868 638585 1021736 1277170 2554340 3192925 5108680 6385850 10600511 12771700 21201022 25543400 42402044 53002555 84804088 106005110 212010220 265012775 424020440 530025550 1060051100 2120102200