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212012230100 = 225211349552259
BaseRepresentation
bin1100010101110011101…
…0011110010111010100
3202021020111102012101112
43011130322132113110
511433200112330400
6241221433514152
721213601136006
oct3053472362724
9667214365345
10212012230100
1181a064164a0
123510a572958
1316cb9b76638
14a3935a4376
1557acd0d835
hex315ce9e5d4

212012230100 has 72 divisors (see below), whose sum is σ = 503329764000. Its totient is φ = 76874313600.

The previous prime is 212012230057. The next prime is 212012230147. The reversal of 212012230100 is 1032210212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107771 + ... + 660029.

Almost surely, 2212012230100 is an apocalyptic number.

212012230100 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 212012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251664882000).

212012230100 is an abundant number, since it is smaller than the sum of its proper divisors (291317533900).

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

212012230100 is a wasteful number, since it uses less digits than its factorization.

212012230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552633 (or 552626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212012230100 its reverse (1032210212), we get a palindrome (213044440312).

The spelling of 212012230100 in words is "two hundred twelve billion, twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 349 550 698 1100 1396 1745 3490 3839 6980 7678 8725 15356 17450 19195 34900 38390 76780 95975 191950 383900 552259 1104518 2209036 2761295 5522590 6074849 11045180 12149698 13806475 24299396 27612950 30374245 55225900 60748490 121496980 151871225 192738391 303742450 385476782 607484900 770953564 963691955 1927383910 2120122301 3854767820 4240244602 4818459775 8480489204 9636919550 10600611505 19273839100 21201223010 42402446020 53003057525 106006115050 212012230100