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2265153262041 = 319715197107699
BaseRepresentation
bin100000111101100101101…
…001111101000111011001
322000112202102111011202210
4200331211221331013121
5244103013213341131
64452332543345333
7322436416021245
oct40754551750731
98015672434683
102265153262041
117a3711a6709a
123070032b2249
131357abb40bb7
147b8c39bd425
153ddc62d2146
hex20f65a7d1d9

2265153262041 has 32 divisors (see below), whose sum is σ = 3224589696000. Its totient is φ = 1410188996160.

The previous prime is 2265153262033. The next prime is 2265153262049. The reversal of 2265153262041 is 1402623515622.

It is an interprime number because it is at equal distance from previous prime (2265153262033) and next prime (2265153262049).

It is not a de Polignac number, because 2265153262041 - 23 = 2265153262033 is a prime.

It is a super-2 number, since 2×22651532620412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2265153262049) 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 31 ways as a sum of consecutive naturals, for example, 20978410 + ... + 21086108.

It is an arithmetic number, because the mean of its divisors is an integer number (100768428000).

Almost surely, 22265153262041 is an apocalyptic number.

It is an amenable number.

2265153262041 is a deficient number, since it is larger than the sum of its proper divisors (959436433959).

2265153262041 is a wasteful number, since it uses less digits than its factorization.

2265153262041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112989.

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 2265153262041 its reverse (1402623515622), we get a palindrome (3667776777663).

The spelling of 2265153262041 in words is "two trillion, two hundred sixty-five billion, one hundred fifty-three million, two hundred sixty-two thousand, forty-one".

Divisors: 1 3 19 57 71 213 1349 4047 5197 15591 98743 107699 296229 323097 368987 1106961 2046281 6138843 7010753 7646629 21032259 22939887 145285951 435857853 559711703 1679135109 10634522357 31903567071 39739530913 119218592739 755051087347 2265153262041