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212101322200 = 23525411960271
BaseRepresentation
bin1100010110001000111…
…0010101010111011000
3202021110201001112202221
43011202032111113120
511433340414302300
6241234335233424
721216032330515
oct3054216252730
9667421045687
10212101322200
1181a51737729
1235134378874
131700246b261
14a3a135630c
1557b5a5b31a
hex31623955d8

212101322200 has 48 divisors (see below), whose sum is σ = 494047352160. Its totient is φ = 84683664000.

The previous prime is 212101322197. The next prime is 212101322203. The reversal of 212101322200 is 2223101212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212101322197) and next prime (212101322203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101322203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 871936 + ... + 1088335.

It is an arithmetic number, because the mean of its divisors is an integer number (10292653170).

Almost surely, 2212101322200 is an apocalyptic number.

212101322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101322200 is an abundant number, since it is smaller than the sum of its proper divisors (281946029960).

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

212101322200 is a wasteful number, since it uses less digits than its factorization.

212101322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960828 (or 1960819 counting only the distinct ones).

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

Adding to 212101322200 its reverse (2223101212), we get a palindrome (214324423412).

The spelling of 212101322200 in words is "two hundred twelve billion, one hundred one million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 541 1082 2164 2705 4328 5410 10820 13525 21640 27050 54100 108200 1960271 3920542 7841084 9801355 15682168 19602710 39205420 49006775 78410840 98013550 196027100 392054200 1060506611 2121013222 4242026444 5302533055 8484052888 10605066110 21210132220 26512665275 42420264440 53025330550 106050661100 212101322200