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2542514112201 = 37835579292819
BaseRepresentation
bin100100111111111001101…
…001101000011011001001
3100000001200011212020021210
4210333321221220123021
5313124032103042301
65224003113123333
7351455604241410
oct44777151503311
910001604766253
102542514112201
118a0301a29aa8
1235090a9b9549
131559b159534b
148b0b6126477
154620b1aead6
hex24ff9a686c9

2542514112201 has 64 divisors (see below), whose sum is σ = 3933648230400. Its totient is φ = 1430733858816.

The previous prime is 2542514112191. The next prime is 2542514112239. The reversal of 2542514112201 is 1022114152452.

It is not a de Polignac number, because 2542514112201 - 218 = 2542513850057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2542514112241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 901919170 + ... + 901921988.

It is an arithmetic number, because the mean of its divisors is an integer number (61463253600).

Almost surely, 22542514112201 is an apocalyptic number.

2542514112201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2542514112201 is a deficient number, since it is larger than the sum of its proper divisors (1391134118199).

2542514112201 is a wasteful number, since it uses less digits than its factorization.

2542514112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398.

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 2542514112201 its reverse (1022114152452), we get a palindrome (3564628264653).

The spelling of 2542514112201 in words is "two trillion, five hundred forty-two billion, five hundred fourteen million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 7 21 83 249 557 581 929 1671 1743 2787 2819 3899 6503 8457 11697 19509 19733 46231 59199 77107 138693 231321 233977 323617 517453 539749 701931 970851 1552359 1570183 1619247 1637839 2618851 3622171 4710549 4913517 7856553 10866513 10991281 18331957 32973843 42948599 54995871 128845797 130325189 217364633 300640193 390975567 652093899 901920579 912276323 1458700007 1521552431 2736828969 4376100021 4564657293 10210900049 30632700147 121072100581 363216301743 847504704067 2542514112201