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212012200988 = 22721319678539
BaseRepresentation
bin1100010101110011101…
…0010111010000011100
3202021020111100201110022
43011130322113100130
511433200110412423
6241221433131312
721213600655100
oct3053472272034
9667214321408
10212012200988
1181a063a6635
123510a559b38
1316cb9b66303
14a393597900
1557acd04dc8
hex315ce9741c

212012200988 has 72 divisors (see below), whose sum is σ = 435391608960. Its totient is φ = 90064971360.

The previous prime is 212012200969. The next prime is 212012200991. The reversal of 212012200988 is 889002210212.

212012200988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120122009882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24824423 + ... + 24832961.

It is an arithmetic number, because the mean of its divisors is an integer number (6047105680).

Almost surely, 2212012200988 is an apocalyptic number.

212012200988 is a gapful number since it is divisible by the number (28) 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 212012200988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217695804480).

212012200988 is an abundant number, since it is smaller than the sum of its proper divisors (223379407972).

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

212012200988 is a wasteful number, since it uses less digits than its factorization.

212012200988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 212012200988 in words is "two hundred twelve billion, twelve million, two hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 131 196 262 524 917 967 1834 1934 3668 3868 6419 6769 8539 12838 13538 17078 25676 27076 34156 47383 59773 94766 119546 126677 189532 239092 253354 418411 506708 836822 886739 1118609 1673644 1773478 2237218 3546956 4474436 6207173 7830263 8257213 12414346 15660526 16514426 24828692 31321052 33028852 54811841 57800491 109623682 115600982 219247364 231201964 404603437 809206874 1081694903 1618413748 2163389806 4326779612 7571864321 15143728642 30287457284 53003050247 106006100494 212012200988