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2100202212 = 2232414011811
BaseRepresentation
bin111110100101110…
…1000101011100100
312102100220022211010
41331023220223210
513300122432322
6544222342220
7103021265343
oct17513505344
95370808733
102100202212
11988567009
124a742a970
1327615bc04
1415ccddb5a
15c45a720c
hex7d2e8ae4

2100202212 has 48 divisors (see below), whose sum is σ = 4935801024. Its totient is φ = 695040000.

The previous prime is 2100202211. The next prime is 2100202213. The reversal of 2100202212 is 2122020012.

It is an interprime number because it is at equal distance from previous prime (2100202211) and next prime (2100202213).

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 (2100202211) 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 15 ways as a sum of consecutive naturals, for example, 1158787 + ... + 1160597.

It is an arithmetic number, because the mean of its divisors is an integer number (102829188).

Almost surely, 22100202212 is an apocalyptic number.

It is an amenable number.

2100202212 is an abundant number, since it is smaller than the sum of its proper divisors (2835598812).

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

2100202212 is a wasteful number, since it uses less digits than its factorization.

2100202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2458 counting only the distinct ones).

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

The square root of 2100202212 is about 45827.9632102497. The cubic root of 2100202212 is about 1280.6202666007.

Adding to 2100202212 its reverse (2122020012), we get a palindrome (4222222224).

The spelling of 2100202212 in words is "two billion, one hundred million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 241 401 482 723 802 964 1203 1446 1604 1811 2406 2892 3622 4812 5433 7244 10866 21732 96641 193282 289923 386564 436451 579846 726211 872902 1159692 1309353 1452422 1745804 2178633 2618706 2904844 4357266 5237412 8714532 175016851 350033702 525050553 700067404 1050101106 2100202212