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693071144103 = 31321979919991
BaseRepresentation
bin10100001010111100100…
…00100110010010100111
32110020221022122001022110
422011132100212102213
542323402203102403
61250220435532103
7101033643344322
oct12053620462247
92406838561273
10693071144103
11247a25657708
12b23a415a033
1350482b13500
142578adc77b9
1513065b43103
hexa15e4264a7

693071144103 has 96 divisors (see below), whose sum is σ = 1068883968000. Its totient is φ = 398106783360.

The previous prime is 693071144057. The next prime is 693071144119. The reversal of 693071144103 is 301441170396.

It is a happy number.

It is not a de Polignac number, because 693071144103 - 29 = 693071143591 is a prime.

It is a super-2 number, since 2×6930711441032 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693071144153) 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, 699364938 + ... + 699365928.

It is an arithmetic number, because the mean of its divisors is an integer number (11134208000).

Almost surely, 2693071144103 is an apocalyptic number.

693071144103 is a deficient number, since it is larger than the sum of its proper divisors (375812823897).

693071144103 is a wasteful number, since it uses less digits than its factorization.

693071144103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 693071144103 in words is "six hundred ninety-three billion, seventy-one million, one hundred forty-four thousand, one hundred three".

Divisors: 1 3 13 19 39 57 79 169 237 247 507 741 919 991 1027 1501 2757 2973 3081 3211 4503 9633 11947 12883 13351 17461 18829 19513 35841 38649 40053 52383 56487 58539 72601 78289 155311 167479 217803 226993 234867 244777 253669 465933 502437 680979 734331 761007 910729 943813 1017757 1379419 1487491 2732187 2831439 2950909 3053271 3182101 4138257 4462473 8852727 9546303 11839477 12269569 13230841 17303851 17932447 19337383 35518431 36808707 39692523 51911553 53797341 58012149 71947591 153913201 215842773 224950063 233121811 251385979 461739603 674850189 699365433 754157937 935318683 1367004229 2805956049 2924350819 4101012687 8773052457 12159142879 17771054977 36477428637 53313164931 231023714701 693071144103