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131010334 = 27134197181
BaseRepresentation
bin1111100111100…
…00111100011110
3100010112000101121
413303300330132
5232014312314
621000001154
73150366220
oct763607436
9303460347
10131010334
1167a52004
1237a601ba
13211b0610
1413584410
15b77cd24
hex7cf0f1e

131010334 has 64 divisors (see below), whose sum is σ = 251701632. Its totient is φ = 49766400.

The previous prime is 131010317. The next prime is 131010337. The reversal of 131010334 is 433010131.

It is a super-2 number, since 2×1310103342 = 34327415229583112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723724 + ... + 723904.

It is an arithmetic number, because the mean of its divisors is an integer number (3932838).

Almost surely, 2131010334 is an apocalyptic number.

131010334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131010334 is a deficient number, since it is larger than the sum of its proper divisors (120691298).

131010334 is a wasteful number, since it uses less digits than its factorization.

131010334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131010334 is about 11445.9745762430. The cubic root of 131010334 is about 507.8886621273. Note that the first 3 decimals are identical.

Adding to 131010334 its reverse (433010131), we get a palindrome (564020465).

The spelling of 131010334 in words is "one hundred thirty-one million, ten thousand, three hundred thirty-four".

Divisors: 1 2 7 13 14 26 41 82 91 97 181 182 194 287 362 533 574 679 1066 1261 1267 1358 2353 2522 2534 3731 3977 4706 7421 7462 7954 8827 14842 16471 17557 17654 27839 32942 35114 51701 51947 55678 96473 103402 103894 122899 192946 228241 245798 361907 456482 675311 719837 723814 1350622 1439674 1597687 3195374 5038859 9357881 10077718 18715762 65505167 131010334