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10114311123 = 327476535231
BaseRepresentation
bin10010110101101110…
…00010001111010011
3222002212212020111200
421122313002033103
5131203230423443
64351344442243
7505433140350
oct113267021723
928085766450
1010114311123
1143202a0714
121b63319383
13c525a1ba7
146bd3db627
153e2e3cdd3
hex25adc23d3

10114311123 has 48 divisors (see below), whose sum is σ = 17081266176. Its totient is φ = 5646893760.

The previous prime is 10114311113. The next prime is 10114311139. The reversal of 10114311123 is 32111341101.

It is a happy number.

It is not a de Polignac number, because 10114311123 - 213 = 10114302931 is a prime.

It is a super-2 number, since 2×101143111232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10114311096 and 10114311105.

It is not an unprimeable number, because it can be changed into a prime (10114311113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930918 + ... + 1936148.

It is an arithmetic number, because the mean of its divisors is an integer number (355859712).

Almost surely, 210114311123 is an apocalyptic number.

10114311123 is a deficient number, since it is larger than the sum of its proper divisors (6966955053).

10114311123 is a wasteful number, since it uses less digits than its factorization.

10114311123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10114311123 its reverse (32111341101), we get a palindrome (42225652224).

It can be divided in two parts, 1011 and 4311123, that added together give a palindrome (4312134).

The spelling of 10114311123 in words is "ten billion, one hundred fourteen million, three hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 47 63 141 329 423 653 987 1959 2961 4571 5231 5877 13713 15693 30691 36617 41139 47079 92073 109851 214837 245857 276219 329553 644511 737571 1720999 1933533 2212713 3415843 5162997 10247529 15488991 23910901 30742587 71732703 160544621 215198109 481633863 1123812347 1444901589 3371437041 10114311123