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131402302401405 = 35724719319708813
BaseRepresentation
bin11101111000001001111011…
…100011101010101101111101
3122020020221022101101012012210
4131320021323203222231331
5114210343403403321110
61143245215005051033
736451334356354200
oct3570117343525575
9566227271335183
10131402302401405
11389614490667a2
12128a2791256a79
135842251195249
142463c9649d937
15102d11e901520
hex77827b8eab7d

131402302401405 has 96 divisors (see below), whose sum is σ = 251066955124224. Its totient is φ = 58486924468224.

The previous prime is 131402302401397. The next prime is 131402302401407. The reversal of 131402302401405 is 504104203204131.

It is not a de Polignac number, because 131402302401405 - 23 = 131402302401397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402302401407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3187222 + ... + 16521591.

It is an arithmetic number, because the mean of its divisors is an integer number (2615280782544).

Almost surely, 2131402302401405 is an apocalyptic number.

131402302401405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131402302401405 is a deficient number, since it is larger than the sum of its proper divisors (119664652722819).

131402302401405 is a wasteful number, since it uses less digits than its factorization.

131402302401405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709075 (or 19709068 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 131402302401405 its reverse (504104203204131), we get a palindrome (635506505605536).

The spelling of 131402302401405 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred two million, four hundred one thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 47 49 105 141 147 193 235 245 329 579 705 735 965 987 1351 1645 2303 2895 4053 4935 6755 6909 9071 9457 11515 20265 27213 28371 34545 45355 47285 63497 136065 141855 190491 317485 444479 952455 1333437 2222395 6667185 19708813 59126439 98544065 137961691 295632195 413885073 689808455 926314211 965731837 2069425365 2778942633 2897195511 3803800909 4631571055 4828659185 6484199477 11411402727 13894713165 14485977555 19019004545 19452598431 26626606363 32420997385 45389396339 57057013635 79879819089 97262992155 133133031815 136168189017 178778642723 186386244541 226946981695 399399095445 536335928169 559158733623 680840945085 893893213615 931931222705 1251450499061 2681679640845 2795793668115 3754351497183 6257252495305 8760153493427 18771757485915 26280460480281 43800767467135 131402302401405