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10342133217 = 351353223277
BaseRepresentation
bin10011010000111000…
…00110110111100001
3222200202112210200000
421220130012313201
5132140041230332
64430123450213
7514200452613
oct115034066741
928622483600
1010342133217
114427956839
122007686969
13c8a84aa70
14701782db3
15407e40b7c
hex268706de1

10342133217 has 96 divisors (see below), whose sum is σ = 17136258048. Its totient is φ = 6193863936.

The previous prime is 10342133213. The next prime is 10342133233. The reversal of 10342133217 is 71233124301.

It is a happy number.

It is not a de Polignac number, because 10342133217 - 22 = 10342133213 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10342133213) 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, 37336083 + ... + 37336359.

It is an arithmetic number, because the mean of its divisors is an integer number (178502688).

Almost surely, 210342133217 is an apocalyptic number.

It is an amenable number.

10342133217 is a deficient number, since it is larger than the sum of its proper divisors (6794124831).

10342133217 is a wasteful number, since it uses less digits than its factorization.

10342133217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10342133217 its reverse (71233124301), we get a palindrome (81575257518).

The spelling of 10342133217 in words is "ten billion, three hundred forty-two million, one hundred thirty-three thousand, two hundred seventeen".

Divisors: 1 3 9 13 27 39 53 81 117 159 223 243 277 351 477 669 689 831 1053 1431 2007 2067 2493 2899 3159 3601 4293 6021 6201 7479 8697 10803 11819 12879 14681 18063 18603 22437 26091 32409 35457 44043 54189 55809 61771 67311 78273 97227 106371 132129 153647 167427 185313 190853 234819 291681 319113 396387 460941 555939 572559 704457 803023 875043 957339 1189161 1382823 1667817 1717677 2409069 2872017 3273863 3567483 4148469 5003451 5153031 7227207 9821589 12445407 15010353 15459093 21681621 29464767 37336221 42560219 46377279 65044863 88394301 127680657 195134589 265182903 383041971 795548709 1149125913 3447377739 10342133217