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212441333140 = 22510799271651
BaseRepresentation
bin1100010111011001111…
…1010111110110010100
3202022100101211220002201
43011312133113312110
511440034440130030
6241332203014244
721230331352201
oct3056637276624
9668311756081
10212441333140
1182106659a03
123520a20a384
1317057a3786a
14a3d4582ca8
1557d58202ca
hex31767d7d94

212441333140 has 24 divisors (see below), whose sum is σ = 450296213472. Its totient is φ = 84182359200.

The previous prime is 212441333107. The next prime is 212441333233. The reversal of 212441333140 is 41333144212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212441333099 and 212441333108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49633686 + ... + 49637965.

It is an arithmetic number, because the mean of its divisors is an integer number (18762342228).

Almost surely, 2212441333140 is an apocalyptic number.

212441333140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212441333140 is an abundant number, since it is smaller than the sum of its proper divisors (237854880332).

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

212441333140 is a wasteful number, since it uses less digits than its factorization.

212441333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99271767 (or 99271765 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 212441333140 its reverse (41333144212), we get a palindrome (253774477352).

The spelling of 212441333140 in words is "two hundred twelve billion, four hundred forty-one million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 99271651 198543302 397086604 496358255 992716510 1985433020 10622066657 21244133314 42488266628 53110333285 106220666570 212441333140