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311020132434 = 231122720759587
BaseRepresentation
bin1001000011010100011…
…11101001100001010010
31002201210112020202111020
410201222033221201102
520043432123214214
6354514120500310
731320240335334
oct4415217514122
91081715222436
10311020132434
1110a9a2835970
125034001a696
1323437c84a2b
14110a6973454
158154dc84a9
hex486a3e9852

311020132434 has 32 divisors (see below), whose sum is σ = 681578793216. Its totient is φ = 93833328720.

The previous prime is 311020132427. The next prime is 311020132457. The reversal of 311020132434 is 434231020113.

It is a happy number.

It is a super-5 number, since 5×3110201324345 (a number of 59 digits) contains 55555 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10364812 + ... + 10394775.

It is an arithmetic number, because the mean of its divisors is an integer number (21299337288).

Almost surely, 2311020132434 is an apocalyptic number.

311020132434 is an abundant number, since it is smaller than the sum of its proper divisors (370558660782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311020132434 is a wasteful number, since it uses less digits than its factorization.

311020132434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759830.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311020132434 its reverse (434231020113), we get a palindrome (745251152547).

The spelling of 311020132434 in words is "three hundred eleven billion, twenty million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 227 454 681 1362 2497 4994 7491 14982 20759587 41519174 62278761 124557522 228355457 456710914 685066371 1370132742 4712426249 9424852498 14137278747 28274557494 51836688739 103673377478 155510066217 311020132434