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131411214 = 233111971123
BaseRepresentation
bin1111101010100…
…10110100001110
3100011021101022000
413311102310032
5232120124324
621012333130
73153656034
oct765226416
9304241260
10131411214
11681a6210
12380141a6
13212c0c1c
141364a554
15b80b9c9
hex7d52d0e

131411214 has 64 divisors (see below), whose sum is σ = 320474880. Its totient is φ = 39584160.

The previous prime is 131411183. The next prime is 131411219. The reversal of 131411214 is 412114131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131411219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116457 + ... + 117579.

It is an arithmetic number, because the mean of its divisors is an integer number (5007420).

Almost surely, 2131411214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131411214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160237440).

131411214 is an abundant number, since it is smaller than the sum of its proper divisors (189063666).

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

131411214 is a wasteful number, since it uses less digits than its factorization.

131411214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 131411214 is about 11463.4730339457. The cubic root of 131411214 is about 508.4061660640.

Adding to 131411214 its reverse (412114131), we get a palindrome (543525345).

The spelling of 131411214 in words is "one hundred thirty-one million, four hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 197 198 297 394 591 594 1123 1182 1773 2167 2246 3369 3546 4334 5319 6501 6738 10107 10638 12353 13002 19503 20214 24706 30321 37059 39006 58509 60642 74118 111177 117018 221231 222354 333531 442462 663693 667062 1327386 1991079 2433541 3982158 4867082 5973237 7300623 11946474 14601246 21901869 43803738 65705607 131411214