Search a number
-
+
131075334 = 23413109571
BaseRepresentation
bin1111101000000…
…00110100000110
3100010122022120000
413310000310012
5232023402314
621001222130
73151056555
oct764006406
9303568500
10131075334
1167a96925
1237a91946
1321204090
141359dd9c
15b792209
hex7d00d06

131075334 has 80 divisors (see below), whose sum is σ = 319759440. Its totient is φ = 39890880.

The previous prime is 131075333. The next prime is 131075363. The reversal of 131075334 is 433570131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131075298 and 131075307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131075333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229269 + ... + 229839.

It is an arithmetic number, because the mean of its divisors is an integer number (3996993).

Almost surely, 2131075334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131075334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159879720).

131075334 is an abundant number, since it is smaller than the sum of its proper divisors (188684106).

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

131075334 is a wasteful number, since it uses less digits than its factorization.

131075334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 131075334 is about 11448.8136503308. The cubic root of 131075334 is about 507.9726435555.

The spelling of 131075334 in words is "one hundred thirty-one million, seventy-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 109 117 162 218 234 327 351 571 654 702 981 1053 1142 1417 1713 1962 2106 2834 2943 3426 4251 5139 5886 7423 8502 8829 10278 12753 14846 15417 17658 22269 25506 30834 38259 44538 46251 62239 66807 76518 92502 114777 124478 133614 186717 200421 229554 373434 400842 560151 601263 809107 1120302 1202526 1618214 1680453 2427321 3360906 4854642 5041359 7281963 10082718 14563926 21845889 43691778 65537667 131075334