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131043198 = 231113163937
BaseRepresentation
bin1111100111110…
…00111101111110
3100010120200110210
413303320331332
5232021340243
621000413250
73150564066
oct763707576
9303520423
10131043198
1167a74770
1237a77226
13211c2570
14135923a6
15b787933
hex7cf8f7e

131043198 has 64 divisors (see below), whose sum is σ = 310125312. Its totient is φ = 36391680.

The previous prime is 131043197. The next prime is 131043203. The reversal of 131043198 is 891340131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043197) 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, 139386 + ... + 140322.

It is an arithmetic number, because the mean of its divisors is an integer number (4845708).

Almost surely, 2131043198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131043198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155062656).

131043198 is an abundant number, since it is smaller than the sum of its proper divisors (179082114).

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

131043198 is a wasteful number, since it uses less digits than its factorization.

131043198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131043198 is about 11447.4101001056. The cubic root of 131043198 is about 507.9311266083.

The spelling of 131043198 in words is "one hundred thirty-one million, forty-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 163 286 326 429 489 858 937 978 1793 1874 2119 2811 3586 4238 5379 5622 6357 10307 10758 12181 12714 20614 23309 24362 30921 36543 46618 61842 69927 73086 133991 139854 152731 267982 305462 401973 458193 803946 916386 1680041 1985503 3360082 3971006 5040123 5956509 10080246 11913018 21840533 43681066 65521599 131043198