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113024242420311 = 33137132124864751
BaseRepresentation
bin11001101100101110000001…
…110100100000101001010111
3112211012000022210012121102010
4121230232001310200221113
5104303242122024422221
61040214341542315303
732543506043120115
oct3154560164405127
9484160283177363
10113024242420311
1133016348346082
1210814a32128b33
134b0b1a93b8061
141dca58c738ab5
15d10047380c76
hex66cb81d20a57

113024242420311 has 32 divisors (see below), whose sum is σ = 159885527228416. Its totient is φ = 70894375200000.

The previous prime is 113024242420289. The next prime is 113024242420333.

It is a happy number.

113024242420311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (113024242420289) and next prime (113024242420333).

It is not a de Polignac number, because 113024242420311 - 210 = 113024242419287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113024242420391) 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, 7886815 + ... + 16977936.

It is an arithmetic number, because the mean of its divisors is an integer number (4996422725888).

Almost surely, 2113024242420311 is an apocalyptic number.

113024242420311 is a deficient number, since it is larger than the sum of its proper divisors (46861284808105).

113024242420311 is a wasteful number, since it uses less digits than its factorization.

113024242420311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24866143.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 113024242420311 in words is "one hundred thirteen trillion, twenty-four billion, two hundred forty-two million, four hundred twenty thousand, three hundred eleven".

Divisors: 1 3 31 37 93 111 1147 1321 3441 3963 40951 48877 122853 146631 1515187 4545561 24864751 74594253 770807281 919995787 2312421843 2759987361 28519869397 32846336071 85559608191 98539008213 1018236418201 1215314434627 3054709254603 3645943303881 37674747473437 113024242420311