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13023113222133 = 3271931825358679
BaseRepresentation
bin1011110110000010111000…
…0010011001011111110101
31201002222221011002212102200
42331200232002121133311
53201332313441102013
643410422521055113
72512613612632560
oct275405602313765
951088834085380
1013023113222133
1141710869a1673
121563b72327499
137360c733a411
143304719874d7
15178b638ade73
hexbd82e0997f5

13023113222133 has 48 divisors (see below), whose sum is σ = 21611415870720. Its totient is φ = 7402688796672.

The previous prime is 13023113222123. The next prime is 13023113222153. The reversal of 13023113222133 is 33122231132031.

13023113222133 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 311 + 322 + 21 + 3 + 3 = 666.

It is not a de Polignac number, because 13023113222133 - 24 = 13023113222117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13023113222097 and 13023113222106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023113222123) 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, 221908888 + ... + 221967566.

It is an arithmetic number, because the mean of its divisors is an integer number (450237830640).

Almost surely, 213023113222133 is an apocalyptic number.

It is an amenable number.

13023113222133 is a deficient number, since it is larger than the sum of its proper divisors (8588302648587).

13023113222133 is a wasteful number, since it uses less digits than its factorization.

13023113222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77138 (or 77135 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13023113222133 its reverse (33122231132031), we get a palindrome (46145344354164).

The spelling of 13023113222133 in words is "thirteen trillion, twenty-three billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 193 579 1351 1737 4053 12159 18253 54759 58679 127771 164277 176037 383313 410753 528111 1149939 1232259 3522829 3696777 10568487 11325047 24659803 31705461 33975141 73979409 79275329 101925423 221938227 237825987 713477961 1071067787 3213203361 7497474509 9639610083 22492423527 67477270581 206716082891 620148248673 1447012580237 1860444746019 4341037740711 13023113222133