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201024343242 = 23341472238663
BaseRepresentation
bin1011101100110111111…
…1000000110011001010
3201012212201202201021000
42323031333000303022
511243144212440432
6232203241155430
720344366503312
oct2731577006312
9635781681230
10201024343242
1178288001468
1232b6278bb76
1315c58600638
149a30168442
15536836357c
hex2ecdfc0cca

201024343242 has 128 divisors (see below), whose sum is σ = 469502853120. Its totient is φ = 63688567680.

The previous prime is 201024343231. The next prime is 201024343243. The reversal of 201024343242 is 242343420102.

201024343242 is a `hidden beast` number, since 201 + 0 + 2 + 434 + 3 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201024343243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23200603 + ... + 23209265.

It is an arithmetic number, because the mean of its divisors is an integer number (3667991040).

Almost surely, 2201024343242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201024343242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234751426560).

201024343242 is an abundant number, since it is smaller than the sum of its proper divisors (268478509878).

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

201024343242 is a wasteful number, since it uses less digits than its factorization.

201024343242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 201024343242 its reverse (242343420102), we get a palindrome (443367763344).

The spelling of 201024343242 in words is "two hundred one billion, twenty-four million, three hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 47 54 82 94 123 141 223 246 282 369 423 446 669 738 846 1107 1269 1338 1927 2007 2214 2538 3854 4014 5781 6021 8663 9143 10481 11562 12042 17326 17343 18286 20962 25989 27429 31443 34686 51978 52029 54858 62886 77967 82287 94329 104058 155934 164574 188658 233901 246861 282987 355183 407161 429721 467802 493722 565974 710366 814322 859442 1065549 1221483 1289163 1931849 2131098 2442966 2578326 3196647 3664449 3863698 3867489 5795547 6393294 7328898 7734978 9589941 10993347 11591094 11602467 16693601 17386641 19179882 21986694 23204934 33387202 34773282 50080803 52159923 79205809 90796903 100161606 104319846 150242409 158411618 181593806 237617427 272390709 300484818 450727227 475234854 544781418 712852281 817172127 901454454 1425704562 1634344254 2138556843 2451516381 3722673023 4277113686 4903032762 7445346046 11168019069 22336038138 33504057207 67008114414 100512171621 201024343242