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103164399714519 = 321113713169356263
BaseRepresentation
bin10111011101001111010101…
…011001100000000011010111
3111112021102100101122121102100
4113131033111121200003113
5102010221142311331034
61003225023154413143
730505244666001513
oct2735172531400327
9445242311577370
10103164399714519
112a96485a16a710
12b6a1b508911b3
1345744905a5820
141b6927daa1143
15bdd821d80099
hex5dd3d56600d7

103164399714519 has 96 divisors (see below), whose sum is σ = 177589110666240. Its totient is φ = 56883356006400.

The previous prime is 103164399714461. The next prime is 103164399714577. The reversal of 103164399714519 is 915417993461301.

103164399714519 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 43 + 9 + 9 + 71 + 4 + 519 = 666.

It is an interprime number because it is at equal distance from previous prime (103164399714461) and next prime (103164399714577).

It is not a de Polignac number, because 103164399714519 - 235 = 103130039976151 is a prime.

It is a super-2 number, since 2×1031643997145192 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103164399714419) 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, 289395582 + ... + 289751844.

It is an arithmetic number, because the mean of its divisors is an integer number (1849886569440).

Almost surely, 2103164399714519 is an apocalyptic number.

103164399714519 is a deficient number, since it is larger than the sum of its proper divisors (74424710951721).

103164399714519 is a wasteful number, since it uses less digits than its factorization.

103164399714519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359533 (or 359530 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 103164399714519 in words is "one hundred three trillion, one hundred sixty-four billion, three hundred ninety-nine million, seven hundred fourteen thousand, five hundred nineteen".

Divisors: 1 3 9 11 13 33 39 71 99 117 143 213 429 639 781 923 1287 2343 2769 3169 7029 8307 9507 10153 28521 30459 34859 41197 91377 104577 123591 224999 313731 356263 370773 453167 674997 1068789 1359501 2024991 2474989 2924987 3206367 3918893 4078503 4631419 7424967 8774961 11756679 13894257 22274901 25294673 26324883 32174857 35270037 41682771 50945609 75884019 96524571 152836827 227652057 278241403 289573713 328830749 458510481 834724209 986492247 1128997447 2504172627 2959476741 3386992341 3617138239 10160977023 10851414717 12418971917 14676966811 32554244151 37256915751 44030900433 80158818737 111770747253 132092701299 161446634921 240476456211 484339904763 721429368633 881747006107 1042064643581 1453019714289 2645241018321 3126193930743 7935723054963 9378581792229 11462711079391 34388133238173 103164399714519