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312201132000 = 2535363141231
BaseRepresentation
bin1001000101100001010…
…00110011011111100000
31002211211211111202022220
410202300220303133200
520103341442211000
6355231225431040
731361430556632
oct4426050633740
91084754452286
10312201132000
1111044944436a
125060b63b480
1323595855a44
1411179758a52
1581c390e1a0
hex48b0a337e0

312201132000 has 192 divisors, whose sum is σ = 1024416626688. Its totient is φ = 83119680000.

The previous prime is 312201131981. The next prime is 312201132011. The reversal of 312201132000 is 231102213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7551385 + ... + 7592615.

It is an arithmetic number, because the mean of its divisors is an integer number (5335503264).

Almost surely, 2312201132000 is an apocalyptic number.

312201132000 is a gapful number since it is divisible by the number (30) 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 312201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512208313344).

312201132000 is an abundant number, since it is smaller than the sum of its proper divisors (712215494688).

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

312201132000 is a wasteful number, since it uses less digits than its factorization.

312201132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41890 (or 41872 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312201132000 its reverse (231102213), we get a palindrome (312432234213).

The spelling of 312201132000 in words is "three hundred twelve billion, two hundred one million, one hundred thirty-two thousand".