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131031330 = 23559181409
BaseRepresentation
bin1111100111101…
…10000100100010
3100010120002012020
413303312010202
5232021000310
621000242310
73150514353
oct763660442
9303502166
10131031330
1167a66861
1237a70396
13211ba041
141358bd2a
15b784170
hex7cf6122

131031330 has 64 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 34076160.

The previous prime is 131031301. The next prime is 131031337. The reversal of 131031330 is 33130131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131031337) 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, 320166 + ... + 320574.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850).

Almost surely, 2131031330 is an apocalyptic number.

131031330 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 131031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

131031330 is an abundant number, since it is smaller than the sum of its proper divisors (191327070).

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

131031330 is a wasteful number, since it uses less digits than its factorization.

131031330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 131031330 is about 11446.8917178420. The cubic root of 131031330 is about 507.9157924572.

Adding to 131031330 its reverse (33130131), we get a palindrome (164161461).

It can be divided in two parts, 1310 and 31330, that added together give a triangular number (32640 = T255).

The spelling of 131031330 in words is "one hundred thirty-one million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 181 295 354 362 409 543 590 818 885 905 1086 1227 1770 1810 2045 2454 2715 4090 5430 6135 10679 12270 21358 24131 32037 48262 53395 64074 72393 74029 106790 120655 144786 148058 160185 222087 241310 320370 361965 370145 444174 723930 740290 1110435 2220870 4367711 8735422 13103133 21838555 26206266 43677110 65515665 131031330