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241531001096 = 237211331109137
BaseRepresentation
bin1110000011110001011…
…1101001100100001000
3212002102201012010200012
43200330113221210020
512424123414013341
6302542515331052
723310235430600
oct3407427514410
9762381163605
10241531001096
1193483a54000
123a9882b0a88
1319a12629538
14b993b41c00
15643957b0eb
hex383c5e9908

241531001096 has 384 divisors, whose sum is σ = 608035507200. Its totient is φ = 89573299200.

The previous prime is 241531001059. The next prime is 241531001111. The reversal of 241531001096 is 690100135142.

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 95 ways as a sum of consecutive naturals, for example, 1762999940 + ... + 1763000076.

It is an arithmetic number, because the mean of its divisors is an integer number (1583425800).

Almost surely, 2241531001096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241531001096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304017753600).

241531001096 is an abundant number, since it is smaller than the sum of its proper divisors (366504506104).

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

241531001096 is a wasteful number, since it uses less digits than its factorization.

241531001096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 241531001096 in words is "two hundred forty-one billion, five hundred thirty-one million, one thousand, ninety-six".