Search a number
-
+
131423165120 = 26513291089383
BaseRepresentation
bin111101001100101101…
…1100101101011000000
3110120020002212112011002
41322121123211223000
54123123312240440
6140212554311132
712331534320542
oct1723133455300
9416202775132
10131423165120
1150810a50155
12215794284a8
13c5159a4280
14650a4cb692
153642c82115
hex1e996e5ac0

131423165120 has 112 divisors (see below), whose sum is σ = 348646455360. Its totient is φ = 46852141056.

The previous prime is 131423165119. The next prime is 131423165131. The reversal of 131423165120 is 21561324131.

It is a super-2 number, since 2×1314231651202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424052 + ... + 665331.

It is an arithmetic number, because the mean of its divisors is an integer number (3112914780).

Almost surely, 2131423165120 is an apocalyptic number.

131423165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131423165120 is an abundant number, since it is smaller than the sum of its proper divisors (217223290240).

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

131423165120 is a wasteful number, since it uses less digits than its factorization.

131423165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089442 (or 1089432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 131423165120 its reverse (21561324131), we get a palindrome (152984489251).

The spelling of 131423165120 in words is "one hundred thirty-one billion, four hundred twenty-three million, one hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 130 145 160 208 232 260 290 320 377 416 464 520 580 754 832 928 1040 1160 1508 1856 1885 2080 2320 3016 3770 4160 4640 6032 7540 9280 12064 15080 24128 30160 60320 120640 1089383 2178766 4357532 5446915 8715064 10893830 14161979 17430128 21787660 28323958 31592107 34860256 43575320 56647916 63184214 69720512 70809895 87150640 113295832 126368428 141619790 157960535 174301280 226591664 252736856 283239580 315921070 348602560 410697391 453183328 505473712 566479160 631842140 821394782 906366656 1010947424 1132958320 1263684280 1642789564 2021894848 2053486955 2265916640 2527368560 3285579128 4106973910 4531833280 5054737120 6571158256 8213947820 10109474240 13142316512 16427895640 26284633024 32855791280 65711582560 131423165120