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10011133231 = 11192101109229
BaseRepresentation
bin10010101001011010…
…11100010100101111
3221211200201021001021
421110231130110233
5131000322230411
64333221155011
7503041141231
oct112455342457
927750637037
1010011133231
114278029630
121b3485ba67
13c370b7a98
146ad820251
153d8d5ba71
hex254b5c52f

10011133231 has 48 divisors (see below), whose sum is σ = 11798503200. Its totient is φ = 8421408000.

The previous prime is 10011133201. The next prime is 10011133241. The reversal of 10011133231 is 13233111001.

10011133231 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011133231 - 219 = 10010608943 is a prime.

It is a super-2 number, since 2×100111332312 (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 (10011133201) 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, 43716625 + ... + 43716853.

It is an arithmetic number, because the mean of its divisors is an integer number (245802150).

Almost surely, 210011133231 is an apocalyptic number.

10011133231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011133231 is a deficient number, since it is larger than the sum of its proper divisors (1787369969).

10011133231 is a wasteful number, since it uses less digits than its factorization.

10011133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10011133231 its reverse (13233111001), we get a palindrome (23244244232).

The spelling of 10011133231 in words is "ten billion, eleven million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 19 101 109 209 229 361 1111 1199 1919 2071 2519 3971 4351 11009 21109 22781 23129 24961 36461 39349 47861 82669 121099 209171 254419 274571 401071 432839 439451 474259 909359 2300881 2521061 3974249 4833961 5216849 8349569 9010921 27731671 43716739 47900159 91845259 99120131 526901749 910103021 10011133231