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1320032133 = 35717191239
BaseRepresentation
bin100111010101110…
…0001011110000101
310101222212120200000
41032223201132011
510200412012013
6334552511513
744466042120
oct11653413605
93358776600
101320032133
1161813a752
1230a0ab599
1318062cc04
14c74573b7
157ad4a973
hex4eae1785

1320032133 has 96 divisors (see below), whose sum is σ = 2415329280. Its totient is φ = 703261440.

The previous prime is 1320032117. The next prime is 1320032149. The reversal of 1320032133 is 3312300231.

It is an interprime number because it is at equal distance from previous prime (1320032117) and next prime (1320032149).

It is not a de Polignac number, because 1320032133 - 24 = 1320032117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320032113) 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, 5523028 + ... + 5523266.

It is an arithmetic number, because the mean of its divisors is an integer number (25159680).

Almost surely, 21320032133 is an apocalyptic number.

It is an amenable number.

1320032133 is a deficient number, since it is larger than the sum of its proper divisors (1095297147).

1320032133 is a wasteful number, since it uses less digits than its factorization.

1320032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320032133 is about 36332.2464623370. The cubic root of 1320032133 is about 1096.9702115905.

Adding to 1320032133 its reverse (3312300231), we get a palindrome (4632332364).

The spelling of 1320032133 in words is "one billion, three hundred twenty million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 191 239 243 357 459 567 573 717 1071 1337 1377 1673 1701 1719 2151 3213 3247 4011 4063 4131 5019 5157 6453 9639 9741 12033 12189 15057 15471 19359 22729 28441 28917 29223 36099 36567 45171 45649 46413 58077 68187 85323 87669 108297 109701 135513 136947 204561 255969 263007 319543 324891 329103 406539 410841 613683 767907 776033 789021 958629 987309 1232523 1841049 2303721 2328099 2875887 3697569 5432231 5523147 6911163 6984297 8627661 11092707 16296693 20952891 25882983 48890079 62858673 77648949 146670237 188576019 440010711 1320032133