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1001133102231 = 323110797134537
BaseRepresentation
bin11101001000110000010…
…11101101010010010111
310112201002200112222112100
432210120023231102113
5112400310033232411
62043525244453143
7132221003651043
oct16443013552227
93481080488470
101001133102231
1135663a59a419
1214203954a1b3
1373538c69532
1436652b21023
151b095e8a456
hexe9182ed497

1001133102231 has 48 divisors (see below), whose sum is σ = 1508275012608. Its totient is φ = 639178473600.

The previous prime is 1001133102199. The next prime is 1001133102253. The reversal of 1001133102231 is 1322013311001.

1001133102231 is a `hidden beast` number, since 10 + 0 + 113 + 310 + 2 + 231 = 666.

1001133102231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001133102231 - 25 = 1001133102199 is a prime.

It is a super-2 number, since 2×10011331022312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001133109231) 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, 28969995 + ... + 29004531.

It is an arithmetic number, because the mean of its divisors is an integer number (31422396096).

Almost surely, 21001133102231 is an apocalyptic number.

1001133102231 is a deficient number, since it is larger than the sum of its proper divisors (507141910377).

1001133102231 is a wasteful number, since it uses less digits than its factorization.

1001133102231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35652 (or 35649 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001133102231 its reverse (1322013311001), we get a palindrome (2323146413232).

The spelling of 1001133102231 in words is "one trillion, one billion, one hundred thirty-three million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 9 31 93 107 279 321 963 971 2913 3317 8739 9951 29853 30101 34537 90303 103611 103897 270909 310833 311691 935073 1070647 3211941 3220807 3695459 9635823 9662421 11086377 28987263 33259131 33535427 100606281 114559229 301818843 343677687 1031033061 1039598237 3118794711 3588290689 9356384133 10764872067 32294616201 111237011359 333711034077 1001133102231