Search a number
-
+
131001330 = 23523373509
BaseRepresentation
bin1111100111011…
…10101111110010
3100010111120001010
413303232233302
5232014020310
620555451350
73150331035
oct763565762
9303446033
10131001330
1167a46269
1237a56b56
13211a94a5
141358101c
15b77a320
hex7ceebf2

131001330 has 64 divisors (see below), whose sum is σ = 329598720. Its totient is φ = 33259776.

The previous prime is 131001317. The next prime is 131001331. The reversal of 131001330 is 33100131.

It is a super-2 number, since 2×1310013302 = 34322696923537800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257116 + ... + 257624.

It is an arithmetic number, because the mean of its divisors is an integer number (5149980).

Almost surely, 2131001330 is an apocalyptic number.

131001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799360).

131001330 is an abundant number, since it is smaller than the sum of its proper divisors (198597390).

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

131001330 is a wasteful number, since it uses less digits than its factorization.

131001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131001330 is about 11445.5812434319. The cubic root of 131001330 is about 507.8770265712.

Adding to 131001330 its reverse (33100131), we get a palindrome (164101461).

The spelling of 131001330 in words is "one hundred thirty-one million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 373 509 690 746 1018 1119 1527 1865 2238 2545 3054 3730 5090 5595 7635 8579 11190 11707 15270 17158 23414 25737 35121 42895 51474 58535 70242 85790 117070 128685 175605 189857 257370 351210 379714 569571 949285 1139142 1898570 2847855 4366711 5695710 8733422 13100133 21833555 26200266 43667110 65500665 131001330