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131336322 = 231321719401
BaseRepresentation
bin1111101010000…
…00100010000010
3100011010120120020
413311000202002
5232110230242
621010554310
73153224505
oct765004202
9304116506
10131336322
1168154a17
1237b98996
1321295b00
141362b13c
15b7e46ec
hex7d40882

131336322 has 96 divisors (see below), whose sum is σ = 317805120. Its totient is φ = 35942400.

The previous prime is 131336287. The next prime is 131336323. The reversal of 131336322 is 223633131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131336292 and 131336301.

It is not an unprimeable number, because it can be changed into a prime (131336323) 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, 327322 + ... + 327722.

It is an arithmetic number, because the mean of its divisors is an integer number (3310470).

Almost surely, 2131336322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131336322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158902560).

131336322 is an abundant number, since it is smaller than the sum of its proper divisors (186468798).

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

131336322 is a wasteful number, since it uses less digits than its factorization.

131336322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 131336322 is about 11460.2060190906. The cubic root of 131336322 is about 508.3095665200.

Adding to 131336322 its reverse (223633131), we get a palindrome (354969453).

The spelling of 131336322 in words is "one hundred thirty-one million, three hundred thirty-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 169 221 247 323 338 401 442 494 507 646 663 741 802 969 1014 1203 1326 1482 1938 2406 2873 3211 4199 5213 5746 6422 6817 7619 8398 8619 9633 10426 12597 13634 15238 15639 17238 19266 20451 22857 25194 31278 40902 45714 54587 67769 88621 99047 109174 129523 135538 163761 177242 198094 203307 259046 265863 297141 327522 388569 406614 531726 594282 777138 1152073 1287611 1683799 2304146 2575222 3367598 3456219 3862833 5051397 6912438 7725666 10102794 21889387 43778774 65668161 131336322