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131222323234041 = 31321572351701209
BaseRepresentation
bin11101110101100010010011…
…111101101000010011111001
3122012121201202022211011222020
4131311202103331220103321
5114144421304221442131
61143030411510545053
736432333332601504
oct3565422375502371
9565551668734866
10131222323234041
11388a2090563476
1212873922668189
13582b29a966100
1424592a136813b
1510285d8e60996
hex775893f684f9

131222323234041 has 48 divisors (see below), whose sum is σ = 190745186123520. Its totient is φ = 80203610073600.

The previous prime is 131222323234033. The next prime is 131222323234103. The reversal of 131222323234041 is 140432323222131.

It is a happy number.

It is not a de Polignac number, because 131222323234041 - 23 = 131222323234033 is a prime.

It is a super-2 number, since 2×1312223232340412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131222323233993 and 131222323234011.

It is not an unprimeable number, because it can be changed into a prime (131222323234021) 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, 186786645 + ... + 187487853.

It is an arithmetic number, because the mean of its divisors is an integer number (3973858044240).

Almost surely, 2131222323234041 is an apocalyptic number.

It is an amenable number.

131222323234041 is a deficient number, since it is larger than the sum of its proper divisors (59522862889479).

131222323234041 is a wasteful number, since it uses less digits than its factorization.

131222323234041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703746 (or 703733 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131222323234041 its reverse (140432323222131), we get a palindrome (271654646456172).

The spelling of 131222323234041 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred twenty-three million, two hundred thirty-four thousand, forty-one".

Divisors: 1 3 13 39 157 169 471 507 2041 2351 6123 7053 26533 30563 79599 91689 369107 397319 701209 1107321 1191957 2103627 4798391 9115717 14395173 27347151 62379083 110089813 118504321 187137249 330269439 355512963 1431167569 1648542359 4293502707 4945627077 18605178397 21431050667 55815535191 64293152001 258821150363 278603658671 776463451089 835810976013 3364674954719 10094024864157 43740774411347 131222323234041