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10144101231 = 331134155223
BaseRepresentation
bin10010111001010001…
…01011001101101111
3222011221220201212000
421130220223031233
5131233342214411
64354331143343
7506244303105
oct113450531557
928157821760
1010144101231
114336098440
121b712a4b53
13c58802484
146c3353c75
153e5874956
hex25ca2b36f

10144101231 has 16 divisors (see below), whose sum is σ = 16394507520. Its totient is φ = 6147939960.

The previous prime is 10144101203. The next prime is 10144101239. The reversal of 10144101231 is 13210144101.

10144101231 is a `hidden beast` number, since 10 + 14 + 410 + 1 + 231 = 666.

It is not a de Polignac number, because 10144101231 - 215 = 10144068463 is a prime.

It is a super-2 number, since 2×101441012312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144101239) 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 15 ways as a sum of consecutive naturals, for example, 17077315 + ... + 17077908.

It is an arithmetic number, because the mean of its divisors is an integer number (1024656720).

Almost surely, 210144101231 is an apocalyptic number.

10144101231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10144101231 is a deficient number, since it is larger than the sum of its proper divisors (6250406289).

10144101231 is a wasteful number, since it uses less digits than its factorization.

10144101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34155243 (or 34155237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10144101231 its reverse (13210144101), we get a palindrome (23354245332).

The spelling of 10144101231 in words is "ten billion, one hundred forty-four million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 34155223 102465669 307397007 375707453 922191021 1127122359 3381367077 10144101231