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212461505000 = 235442492301
BaseRepresentation
bin1100010111011110110…
…0010100100111101000
3202022101210210201200122
43011313230110213220
511440110121130000
6241334203222412
721230664665243
oct3056754244750
9668353721618
10212461505000
1182116a87368
1235214b17a08
131705bc7b284
14a3d711425a
1557d74a7085
hex3177b149e8

212461505000 has 40 divisors (see below), whose sum is σ = 497797317930. Its totient is φ = 84984600000.

The previous prime is 212461504999. The next prime is 212461505023. The reversal of 212461505000 is 505164212.

It can be written as a sum of positive squares in 5 ways, for example, as 2838545284 + 209622959716 = 53278^2 + 457846^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2124615050002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21241151 + ... + 21251150.

Almost surely, 2212461505000 is an apocalyptic number.

212461505000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212461505000 is an abundant number, since it is smaller than the sum of its proper divisors (285335812930).

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

212461505000 is an equidigital number, since it uses as much as digits as its factorization.

212461505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42492327 (or 42492308 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 212461505000 its reverse (505164212), we get a palindrome (212966669212).

The spelling of 212461505000 in words is "two hundred twelve billion, four hundred sixty-one million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 42492301 84984602 169969204 212461505 339938408 424923010 849846020 1062307525 1699692040 2124615050 4249230100 5311537625 8498460200 10623075250 21246150500 26557688125 42492301000 53115376250 106230752500 212461505000