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252033223101242 = 21137419743994559
BaseRepresentation
bin111001010011100100001110…
…101111000000101100111010
31020001101010210122202120202112
4321103210032233000230322
5231013303020103214432
62252010244142132322
7104041541135166332
oct7123441657005472
91201333718676675
10252033223101242
117333a764a47990
12243258885810a2
13aa828282a79bb
14463468a2060c2
151e20e687687b2
hexe5390ebc0b3a

252033223101242 has 64 divisors (see below), whose sum is σ = 425147188838400. Its totient is φ = 111048527177280.

The previous prime is 252033223101241. The next prime is 252033223101269. The reversal of 252033223101242 is 242101322330252.

It is a happy number.

252033223101242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252033223101199 and 252033223101208.

It is not an unprimeable number, because it can be changed into a prime (252033223101241) 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, 252914759 + ... + 253909317.

It is an arithmetic number, because the mean of its divisors is an integer number (6642924825600).

Almost surely, 2252033223101242 is an apocalyptic number.

252033223101242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

252033223101242 is a deficient number, since it is larger than the sum of its proper divisors (173113965737158).

252033223101242 is a wasteful number, since it uses less digits than its factorization.

252033223101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995771.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 252033223101242 its reverse (242101322330252), we get a palindrome (494134545431494).

The spelling of 252033223101242 in words is "two hundred fifty-two trillion, thirty-three billion, two hundred twenty-three million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 11 22 37 74 407 419 743 814 838 1486 4609 8173 9218 15503 16346 27491 31006 54982 170533 302401 311317 341066 604802 622634 994559 1989118 3424487 6848974 10940149 11518729 21880298 23037458 36798683 73597366 126706019 253412038 404785513 416720221 738957337 809571026 833440442 1477914674 4583922431 8128530707 9167844862 15418648177 16257061414 27341421469 30837296354 54682842938 169605129947 300755636159 309623124203 339210259894 601511272318 619246248406 3405854366233 6811708732466 11456055595511 22912111191022 126016611550621 252033223101242