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131342430201021 = 321318174312316781
BaseRepresentation
bin11101110111010010001010…
…111001010110010010111101
3122020001012202210021021120200
4131313102022321112102331
5114203403244112413041
61143201513544034113
736444114601144134
oct3567221271262275
9566035683237520
10131342430201021
1138939014838456
1212893062162939
1358396cc063140
14246101699691b
15102b7b84e51b6
hex77748ae564bd

131342430201021 has 96 divisors (see below), whose sum is σ = 205913208044544. Its totient is φ = 80194339008000.

The previous prime is 131342430200977. The next prime is 131342430201109. The reversal of 131342430201021 is 120102034243131.

131342430201021 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 430 + 201 + 0 + 21 = 666.

It is not a de Polignac number, because 131342430201021 - 242 = 126944383689917 is a prime.

It is a super-2 number, since 2×1313424302010212 (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 (131342430201821) 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, 19369179651 + ... + 19369186431.

It is an arithmetic number, because the mean of its divisors is an integer number (2144929250464).

Almost surely, 2131342430201021 is an apocalyptic number.

It is an amenable number.

131342430201021 is a deficient number, since it is larger than the sum of its proper divisors (74570777843523).

131342430201021 is a wasteful number, since it uses less digits than its factorization.

131342430201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131342430201021 its reverse (120102034243131), we get a palindrome (251444464444152).

The spelling of 131342430201021 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred thirty million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 13 39 117 181 543 743 1231 1629 2229 2353 3693 6687 6781 7059 9659 11079 16003 20343 21177 28977 48009 61029 86931 88153 134483 144027 222811 264459 403449 668433 793377 914633 1210347 1227361 1748279 2005299 2743899 2896543 3682083 5038283 5244837 8231697 8347411 8689629 11046249 11890229 15114849 15734511 15955693 25042233 26068887 35670687 45344547 47867079 65497679 75126699 107012061 108516343 143601237 165548573 196493037 325549029 496645719 589479111 911929223 976647087 1489937157 1510881391 2152131449 2735787669 4532644173 6202126373 6456394347 8207363007 11855079899 13597932519 18606379119 19369183041 19641458083 35565239697 55819137357 58924374249 80627642849 106695719091 176773122747 241882928547 725648785641 1122584873513 3367754620539 10103263861617 14593603355669 43780810067007 131342430201021