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213033122133 = 313101383141209
BaseRepresentation
bin1100011001100111000…
…0110111100101010101
3202100212122101212222120
43012121300313211111
511442242434402013
6241511023050153
721251105442426
oct3063160674525
9670778355876
10213033122133
118238a709817
1235354440959
1317120519c70
14a44cdcd64d
15581c76a123
hex3199c37955

213033122133 has 32 divisors (see below), whose sum is σ = 309731143680. Its totient is φ = 129459494400.

The previous prime is 213033122129. The next prime is 213033122171. The reversal of 213033122133 is 331221330312.

It is not a de Polignac number, because 213033122133 - 22 = 213033122129 is a prime.

It is a super-2 number, since 2×2130331221332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213033122123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438033 + ... + 1579241.

It is an arithmetic number, because the mean of its divisors is an integer number (9679098240).

Almost surely, 2213033122133 is an apocalyptic number.

It is an amenable number.

213033122133 is a deficient number, since it is larger than the sum of its proper divisors (96698021547).

213033122133 is a wasteful number, since it uses less digits than its factorization.

213033122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141709.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213033122133 its reverse (331221330312), we get a palindrome (544254452445).

The spelling of 213033122133 in words is "two hundred thirteen billion, thirty-three million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 13 39 101 303 383 1149 1313 3939 4979 14937 38683 116049 141209 423627 502879 1508637 1835717 5507151 14262109 42786327 54083047 162249141 185407417 556222251 703079611 2109238833 5462387747 16387163241 71011040711 213033122133