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201234321240 = 233512107138511
BaseRepresentation
bin1011101101101010000…
…0000000111101011000
3201020102100212200220220
42323122200000331120
511244111441234430
6232240141520040
720352526336131
oct2733240007530
9636370780826
10201234321240
1178385589aa7
1233000b73020
1315c8cc6c484
149a4ddc6c88
15537b9de110
hex2eda800f58

201234321240 has 64 divisors (see below), whose sum is σ = 603757186560. Its totient is φ = 53657665920.

The previous prime is 201234321229. The next prime is 201234321247. The reversal of 201234321240 is 42123432102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201234321240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201234321247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1383585 + ... + 1522095.

It is an arithmetic number, because the mean of its divisors is an integer number (9433706040).

Almost surely, 2201234321240 is an apocalyptic number.

201234321240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201234321240 is an abundant number, since it is smaller than the sum of its proper divisors (402522865320).

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

201234321240 is a wasteful number, since it uses less digits than its factorization.

201234321240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150632 (or 150628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201234321240 its reverse (42123432102), we get a palindrome (243357753342).

The spelling of 201234321240 in words is "two hundred one billion, two hundred thirty-four million, three hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12107 24214 36321 48428 60535 72642 96856 121070 138511 145284 181605 242140 277022 290568 363210 415533 484280 554044 692555 726420 831066 1108088 1385110 1452840 1662132 2077665 2770220 3324264 4155330 5540440 8310660 16621320 1676952677 3353905354 5030858031 6707810708 8384763385 10061716062 13415621416 16769526770 20123432124 25154290155 33539053540 40246864248 50308580310 67078107080 100617160620 201234321240