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211431060000 = 253454130513
BaseRepresentation
bin1100010011101001000…
…1011111001000100000
3202012201222211200220000
43010322101133020200
511431002322410000
6241044033220000
721163313233356
oct3047221371040
9665658750800
10211431060000
1181738359826
1234b87a01600
1316c266416c4
14a33a31d7d6
155776cb0000
hex313a45f220

211431060000 has 300 divisors, whose sum is σ = 777023321382. Its totient is φ = 56381184000.

The previous prime is 211431059869. The next prime is 211431060017. The reversal of 211431060000 is 60134112.

It is a happy number.

211431060000 is a `hidden beast` number, since 2 + 11 + 43 + 10 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10967116176 + 200463943824 = 104724^2 + 447732^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1554744 + ... + 1685256.

Almost surely, 2211431060000 is an apocalyptic number.

211431060000 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 211431060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388511660691).

211431060000 is an abundant number, since it is smaller than the sum of its proper divisors (565592261382).

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

211431060000 is an equidigital number, since it uses as much as digits as its factorization.

211431060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130555 (or 130523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211431060000 its reverse (60134112), we get a palindrome (211491194112).

The spelling of 211431060000 in words is "two hundred eleven billion, four hundred thirty-one million, sixty thousand".