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310100012111 = 17197989136547
BaseRepresentation
bin1001000001100110110…
…01101010110001001111
31002122102101212210200202
410200303121222301033
520040041100341421
6354242531244115
731255365416651
oct4406331526117
91078371783622
10310100012111
1110a57041094a
1250123a4963b
132331c465236
141101a69a6d1
1580ee22510b
hex483366ac4f

310100012111 has 32 divisors (see below), whose sum is σ = 353932416000. Its totient is φ = 269928502272.

The previous prime is 310100012099. The next prime is 310100012147. The reversal of 310100012111 is 111210001013.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 310100012111 - 214 = 310099995727 is a prime.

It is a super-3 number, since 3×3101000121113 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310100012092 and 310100012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310100012191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202740 + ... + 2339286.

It is an arithmetic number, because the mean of its divisors is an integer number (11060388000).

Almost surely, 2310100012111 is an apocalyptic number.

310100012111 is a deficient number, since it is larger than the sum of its proper divisors (43832403889).

310100012111 is a wasteful number, since it uses less digits than its factorization.

310100012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136751.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 310100012111 its reverse (111210001013), we get a palindrome (421310013124).

The spelling of 310100012111 in words is "three hundred ten billion, one hundred million, twelve thousand, one hundred eleven".

Divisors: 1 17 19 79 89 323 1343 1501 1513 1691 7031 25517 28747 119527 133589 136547 2271013 2321299 2594393 10787213 12152683 44104681 183382621 204957047 206595611 230900977 960061957 3484269799 3925316609 16321053269 18241177183 310100012111