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201324310002 = 23371346915137
BaseRepresentation
bin1011101101111111011…
…1010010110111110010
3201020122122012121022000
42323133313102313302
511244303010410002
6232253114354430
720355001254054
oct2733767226762
9636578177260
10201324310002
1178421362982
123302712ba16
1315ca57b926a
149a5bd2d8d4
15538486761c
hex2edfdd2df2

201324310002 has 64 divisors (see below), whose sum is σ = 453849350400. Its totient is φ = 66139476480.

The previous prime is 201324309959. The next prime is 201324310003. The reversal of 201324310002 is 200013423102.

201324310002 is a `hidden beast` number, since 201 + 32 + 431 + 0 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201324310003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13292578 + ... + 13307714.

It is an arithmetic number, because the mean of its divisors is an integer number (7091396100).

Almost surely, 2201324310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201324310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226924675200).

201324310002 is an abundant number, since it is smaller than the sum of its proper divisors (252525040398).

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

201324310002 is a wasteful number, since it uses less digits than its factorization.

201324310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18688 (or 18682 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201324310002 its reverse (200013423102), we get a palindrome (401337733104).

The spelling of 201324310002 in words is "two hundred one billion, three hundred twenty-four million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3469 3834 6938 10407 15137 20814 30274 31221 45411 62442 90822 93663 136233 187326 246299 272466 408699 492598 738897 817398 1074727 1477794 2149454 2216691 3224181 4433382 6448362 6650073 9672543 13300146 19345086 29017629 52510253 58035258 105020506 157530759 315061518 472592277 945184554 1417776831 2835553662 3728227963 7456455926 11184683889 22369367778 33554051667 67108103334 100662155001 201324310002