[go: up one dir, main page]

Search a number
-
+
131210120 = 23567173283
BaseRepresentation
bin1111101001000…
…01101110001000
3100010220011110002
413310201232020
5232042210440
621004142132
73152160536
oct764415610
9303804402
10131210120
1168079118
1237b37948
1321250532
14135d7156
15b7bc115
hex7d21b88

131210120 has 64 divisors (see below), whose sum is σ = 302425920. Its totient is φ = 51220224.

The previous prime is 131210113. The next prime is 131210137. The reversal of 131210120 is 21012131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463499 + ... + 463781.

It is an arithmetic number, because the mean of its divisors is an integer number (4725405).

Almost surely, 2131210120 is an apocalyptic number.

131210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151212960).

131210120 is an abundant number, since it is smaller than the sum of its proper divisors (171215800).

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

131210120 is a wasteful number, since it uses less digits than its factorization.

131210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131210120 is about 11454.6985992648. The cubic root of 131210120 is about 508.1467015912.

Adding to 131210120 its reverse (21012131), we get a palindrome (152222251).

The spelling of 131210120 in words is "one hundred thirty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 173 268 283 335 346 536 566 670 692 865 1132 1340 1384 1415 1730 2264 2680 2830 3460 5660 6920 11320 11591 18961 23182 37922 46364 48959 57955 75844 92728 94805 97918 115910 151688 189610 195836 231820 244795 379220 391672 463640 489590 758440 979180 1958360 3280253 6560506 13121012 16401265 26242024 32802530 65605060 131210120