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1323052137 = 351119109239
BaseRepresentation
bin100111011011100…
…0010110001101001
310102012120000100000
41032313002301221
510202200132022
6335141333213
744533520601
oct11667026151
93365500300
101323052137
11619912720
1230b107209
131811496b4
14c7a01c01
157b2456ac
hex4edc2c69

1323052137 has 96 divisors (see below), whose sum is σ = 2306304000. Its totient is φ = 749528640.

The previous prime is 1323052117. The next prime is 1323052151. The reversal of 1323052137 is 7312503231.

1323052137 is a `hidden beast` number, since 132 + 3 + 0 + 521 + 3 + 7 = 666.

1323052137 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1323052137 - 216 = 1322986601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1323052137.

It is not an unprimeable number, because it can be changed into a prime (1323052117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5535664 + ... + 5535902.

It is an arithmetic number, because the mean of its divisors is an integer number (24024000).

Almost surely, 21323052137 is an apocalyptic number.

It is an amenable number.

1323052137 is a deficient number, since it is larger than the sum of its proper divisors (983251863).

1323052137 is a wasteful number, since it uses less digits than its factorization.

1323052137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1323052137 is about 36373.7836497662. The cubic root of 1323052137 is about 1097.8061334692.

Adding to 1323052137 its reverse (7312503231), we get a palindrome (8635555368).

The spelling of 1323052137 in words is "one billion, three hundred twenty-three million, fifty-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 19 27 33 57 81 99 109 171 209 239 243 297 327 513 627 717 891 981 1199 1539 1881 2071 2151 2629 2673 2943 3597 4541 4617 5643 6213 6453 7887 8829 10791 13623 16929 18639 19359 22781 23661 26051 26487 32373 40869 49951 50787 55917 58077 68343 70983 78153 97119 122607 149853 167751 205029 212949 234459 286561 291357 367821 449559 494969 503253 615087 638847 703377 859683 1103463 1348677 1484907 1845261 2110131 2579049 4046031 4454721 5444659 5535783 6330393 7737147 12138093 13364163 16333977 23211441 40092489 49001931 69634323 120277467 147005793 441017379 1323052137