Search a number
-
+
131233141413231 = 3111323107124300999
BaseRepresentation
bin11101110101101100011000…
…110001101101010101101111
3122012122202200021010121221120
4131311230120301231111233
5114200110433200210411
61143035401202032023
736433165403603514
oct3565543061552557
9565582607117846
10131233141413231
11388a67320a5630
1212875a41648613
13582c302cccb80
142459a0a02930b
151028a1da87106
hex775b18c6d56f

131233141413231 has 64 divisors (see below), whose sum is σ = 216510465024000. Its totient is φ = 69568782560640.

The previous prime is 131233141413211. The next prime is 131233141413287. The reversal of 131233141413231 is 132314141332131.

It is a happy number.

It is not a de Polignac number, because 131233141413231 - 234 = 131215961544047 is a prime.

It is a super-2 number, since 2×1312331414132312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131233141413192 and 131233141413201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233141413211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61094731 + ... + 63206268.

It is an arithmetic number, because the mean of its divisors is an integer number (3382976016000).

Almost surely, 2131233141413231 is an apocalyptic number.

131233141413231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131233141413231 is a deficient number, since it is larger than the sum of its proper divisors (85277323610769).

131233141413231 is a wasteful number, since it uses less digits than its factorization.

131233141413231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124301156.

The product of its digits is 15552, while the sum is 33.

Adding to 131233141413231 its reverse (132314141332131), we get a palindrome (263547282745362).

The spelling of 131233141413231 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred forty-one million, four hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 11 13 23 33 39 69 107 143 253 299 321 429 759 897 1177 1391 2461 3289 3531 4173 7383 9867 15301 27071 31993 45903 81213 95979 351923 1055769 124300999 372902997 1367310989 1615912987 2858922977 4101932967 4847738961 8576768931 13300206893 17775042857 31448152747 37165998701 39900620679 53325128571 94344458241 111497996103 146302275823 172902689609 305904758539 408825985711 438906827469 518708068827 917714275617 1226477957133 1901929585699 3364952343929 3976761861007 5705788757097 10094857031787 11930285583021 43744380471077 131233141413231