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141248110113 = 32112891457353
BaseRepresentation
bin1000001110001100001…
…0110001111000100001
3111111120211020102221200
42003203002301320201
54303234004010423
6144515525111413
713130155061205
oct2034302617041
9444524212850
10141248110113
11549a296a800
122345b858569
131042032c5a6
146b9d2c2b05
153a1a5b1d43
hex20e30b1e21

141248110113 has 36 divisors (see below), whose sum is σ = 226778855940. Its totient is φ = 84643004160.

The previous prime is 141248110099. The next prime is 141248110127. The reversal of 141248110113 is 311011842141.

It is an interprime number because it is at equal distance from previous prime (141248110099) and next prime (141248110127).

It can be written as a sum of positive squares in 2 ways, for example, as 17986028544 + 123262081569 = 134112^2 + 351087^2 .

It is not a de Polignac number, because 141248110113 - 221 = 141246012961 is a prime.

It is a super-2 number, since 2×1412481101132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141248110313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631756 + ... + 825597.

It is an arithmetic number, because the mean of its divisors is an integer number (6299412665).

Almost surely, 2141248110113 is an apocalyptic number.

It is an amenable number.

141248110113 is a deficient number, since it is larger than the sum of its proper divisors (85530745827).

141248110113 is a wasteful number, since it uses less digits than its factorization.

141248110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457470 (or 1457456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 141248110113 its reverse (311011842141), we get a palindrome (452259952254).

The spelling of 141248110113 in words is "one hundred forty-one billion, two hundred forty-eight million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 89 99 121 267 363 801 979 1089 2937 8811 10769 32307 96921 1457353 4372059 13116177 16030883 48092649 129704417 144277947 176339713 389113251 529019139 1167339753 1426748587 1587057417 4280245761 12840737283 15694234457 47082703371 141248110113