Search a number
-
+
13123301140350 = 23252233140901671
BaseRepresentation
bin1011111011111000000110…
…1100111110011101111110
31201110120112102100110000100
42332332001230332131332
53210003010042442400
643524432235541530
72523061431115602
oct276760154763576
951416472313010
1013123301140350
1141aa619408485
12157b472bba8a6
137426a2a63b6b
14335257963502
1517b579368100
hexbef81b3e77e

13123301140350 has 144 divisors (see below), whose sum is σ = 37977693272064. Its totient is φ = 3239412264000.

The previous prime is 13123301140321. The next prime is 13123301140463. The reversal of 13123301140350 is 5304110332131.

13123301140350 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 301 + 1 + 4 + 0 + 350 = 666.

It is a super-2 number, since 2×131233011403502 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 20129986 + ... + 20771685.

It is an arithmetic number, because the mean of its divisors is an integer number (263733981056).

Almost surely, 213123301140350 is an apocalyptic number.

13123301140350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13123301140350 is an abundant number, since it is smaller than the sum of its proper divisors (24854392131714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123301140350 is a wasteful number, since it uses less digits than its factorization.

13123301140350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40901743 (or 40901735 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13123301140350 its reverse (5304110332131), we get a palindrome (18427411472481).

The spelling of 13123301140350 in words is "thirteen trillion, one hundred twenty-three billion, three hundred one million, one hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 31 45 46 50 62 69 75 90 93 115 138 150 155 186 207 225 230 279 310 345 414 450 465 558 575 690 713 775 930 1035 1150 1395 1426 1550 1725 2070 2139 2325 2790 3450 3565 4278 4650 5175 6417 6975 7130 10350 10695 12834 13950 17825 21390 32085 35650 53475 64170 106950 160425 320850 40901671 81803342 122705013 204508355 245410026 368115039 409016710 613525065 736230078 940738433 1022541775 1227050130 1267951801 1840575195 1881476866 2045083550 2535903602 2822215299 3067625325 3681150390 3803855403 4703692165 5644430598 6135250650 6339759005 7607710806 8466645897 9202875975 9407384330 11411566209 12679518010 14111076495 16933291794 18405751950 19019277015 22823132418 23518460825 28222152990 29162891423 31698795025 38038554030 42333229485 47036921650 57057831045 58325782846 63397590050 70555382475 84666458970 87488674269 95096385075 114115662090 141110764950 145814457115 174977348538 190192770150 211666147425 262466022807 285289155225 291628914230 423332294850 437443371345 524932045614 570578310450 729072285575 874886742690 1312330114035 1458144571150 2187216856725 2624660228070 4374433713450 6561650570175 13123301140350