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131301020 = 225192383181
BaseRepresentation
bin1111101001101…
…11111010011100
3100011001210010202
413310313322130
5232103113040
621010123032
73153016544
oct764677234
9304053122
10131301020
1168130444
1237b80478
1321282a16
141361c324
15b7d9015
hex7d37e9c

131301020 has 96 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 46759680.

The previous prime is 131300989. The next prime is 131301029. The reversal of 131301020 is 20103131.

It is a junction number, because it is equal to n+sod(n) for n = 131300992 and 131301010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301029) 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, 725330 + ... + 725510.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2131301020 is an apocalyptic number.

131301020 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 131301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

131301020 is an abundant number, since it is smaller than the sum of its proper divisors (176905060).

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

131301020 is a wasteful number, since it uses less digits than its factorization.

131301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131301020 is about 11458.6657163912. The cubic root of 131301020 is about 508.2640194541.

Adding to 131301020 its reverse (20103131), we get a palindrome (151404151).

The spelling of 131301020 in words is "one hundred thirty-one million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 83 92 95 115 166 181 190 230 332 362 380 415 437 460 724 830 874 905 1577 1660 1748 1810 1909 2185 3154 3439 3620 3818 4163 4370 6308 6878 7636 7885 8326 8740 9545 13756 15023 15770 16652 17195 19090 20815 30046 31540 34390 36271 38180 41630 60092 68780 72542 75115 79097 83260 145084 150230 158194 181355 285437 300460 316388 345529 362710 395485 570874 691058 725420 790970 1141748 1382116 1427185 1581940 1727645 2854370 3455290 5708740 6565051 6910580 13130102 26260204 32825255 65650510 131301020