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10241611614201 = 3112326950161931
BaseRepresentation
bin1001010100001000111110…
…0111110100011111111001
31100021002101112002221220010
42111002033213310133321
52320244310033123301
633440533104252133
72104634453233632
oct225021747643771
940232345087803
1010241611614201
113299496837920
121194a87011049
13593a1a39b206
142759a7856889
1512b61b5e45d6
hex9508f9f47f9

10241611614201 has 32 divisors (see below), whose sum is σ = 15602367329280. Its totient is φ = 5915094785600.

The previous prime is 10241611614151. The next prime is 10241611614271.

10241611614201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10241611614201 - 214 = 10241611597817 is a prime.

It is a super-2 number, since 2×102416116142012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10241611614271) 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, 24876795 + ... + 25285136.

It is an arithmetic number, because the mean of its divisors is an integer number (487573979040).

Almost surely, 210241611614201 is an apocalyptic number.

10241611614201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241611614201 is a deficient number, since it is larger than the sum of its proper divisors (5360755715079).

10241611614201 is a wasteful number, since it uses less digits than its factorization.

10241611614201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50162237.

The product of its (nonzero) digits is 2304, while the sum is 30.

It can be divided in two parts, 1024161 and 1614201, that added together give a palindrome (2638362).

The spelling of 10241611614201 in words is "ten trillion, two hundred forty-one billion, six hundred eleven million, six hundred fourteen thousand, two hundred one".

Divisors: 1 3 11 23 33 69 253 269 759 807 2959 6187 8877 18561 68057 204171 50161931 150485793 551781241 1153724413 1655343723 3461173239 12690968543 13493559439 38072905629 40480678317 148429153829 310351867097 445287461487 931055601291 3413870538067 10241611614201