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131210102000 = 245392970619
BaseRepresentation
bin111101000110010111…
…0110100010011110000
3110112200020221210111102
41322030232310103300
54122204241231000
6140135503503532
712323336315345
oct1721456642360
9415606853442
10131210102000
115071175572a
1221519bb7ba8
13c4b07c5113
1464ca0a87cc
15362e1e73d5
hex1e8cbb44f0

131210102000 has 80 divisors (see below), whose sum is σ = 317612037600. Its totient is φ = 52426803200.

The previous prime is 131210101999. The next prime is 131210102039. The reversal of 131210102000 is 201012131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1822691 + ... + 1893309.

It is an arithmetic number, because the mean of its divisors is an integer number (3970150470).

Almost surely, 2131210102000 is an apocalyptic number.

131210102000 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 131210102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158806018800).

131210102000 is an abundant number, since it is smaller than the sum of its proper divisors (186401935600).

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

131210102000 is an equidigital number, since it uses as much as digits as its factorization.

131210102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71571 (or 71555 counting only the distinct ones).

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

Adding to 131210102000 its reverse (201012131), we get a palindrome (131411114131).

The spelling of 131210102000 in words is "one hundred thirty-one billion, two hundred ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 929 1000 1858 2000 3716 4645 7432 9290 14864 18580 23225 37160 46450 70619 74320 92900 116125 141238 185800 232250 282476 353095 371600 464500 564952 706190 929000 1129904 1412380 1765475 1858000 2824760 3530950 5649520 7061900 8827375 14123800 17654750 28247600 35309500 65605051 70619000 131210102 141238000 262420204 328025255 524840408 656050510 1049680816 1312101020 1640126275 2624202040 3280252550 5248404080 6560505100 8200631375 13121010200 16401262750 26242020400 32802525500 65605051000 131210102000