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131020000 = 25546551
BaseRepresentation
bin1111100111100…
…11010011100000
3100010112111122121
413303303103200
5232020120000
621000114024
73150436336
oct763632340
9303474577
10131020000
1167a592a1
1237a65914
13211b4b37
1413587b56
15b780b1a
hex7cf34e0

131020000 has 60 divisors (see below), whose sum is σ = 322378056. Its totient is φ = 52400000.

The previous prime is 131019979. The next prime is 131020007. The reversal of 131020000 is 20131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16725 + ... + 23275.

Almost surely, 2131020000 is an apocalyptic number.

131020000 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 131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161189028).

131020000 is an abundant number, since it is smaller than the sum of its proper divisors (191358056).

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

131020000 is an frugal number, since it uses more digits than its factorization.

131020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 131020000 is about 11446.3968129713. The cubic root of 131020000 is about 507.9011525697.

Adding to 131020000 its reverse (20131), we get a palindrome (131040131).

The spelling of 131020000 in words is "one hundred thirty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 6551 10000 13102 20000 26204 32755 52408 65510 104816 131020 163775 209632 262040 327550 524080 655100 818875 1048160 1310200 1637750 2620400 3275500 4094375 5240800 6551000 8188750 13102000 16377500 26204000 32755000 65510000 131020000