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131221121031 = 327111314565559
BaseRepresentation
bin111101000110101100…
…0110110100000000111
3110112201000200121202200
41322031120312200013
54122220101333111
6140140540005543
712323532060660
oct1721530664007
9415630617680
10131221121031
11507179a1470
12215218308b3
13c4b2b82760
1464cb736367
153630172256
hex1e8d636807

131221121031 has 48 divisors (see below), whose sum is σ = 254489464320. Its totient is φ = 62923210560.

The previous prime is 131221120993. The next prime is 131221121113. The reversal of 131221121031 is 130121122131.

It is not a de Polignac number, because 131221121031 - 225 = 131187566599 is a prime.

It is a super-2 number, since 2×1312211210312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131221120995 and 131221121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221121231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7273771 + ... + 7291788.

It is an arithmetic number, because the mean of its divisors is an integer number (5301863840).

Almost surely, 2131221121031 is an apocalyptic number.

131221121031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131221121031 is a deficient number, since it is larger than the sum of its proper divisors (123268343289).

131221121031 is a wasteful number, since it uses less digits than its factorization.

131221121031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14565596 (or 14565593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131221121031 its reverse (130121122131), we get a palindrome (261342243162).

It can be divided in two parts, 131221 and 121031, that added together give a palindrome (252252).

The spelling of 131221121031 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 14565559 43696677 101958913 131090031 160221149 189352267 305876739 480663447 568056801 917630217 1121548043 1325465869 1441990341 1704170403 2082874937 3364644129 3976397607 6248624811 10093932387 11929192821 14580124559 18745874433 43740373677 131221121031