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131103430000 = 245469118973
BaseRepresentation
bin111101000011001011…
…1111001010101110000
3110112101211020022000121
41322012113321111300
54121444434230000
6140121133300024
712320602524304
oct1720627712560
9415354208017
10131103430000
1150667517454
12214aa334614
13c4946867aa
1464b9c5bd04
153624b75b1a
hex1e865f9570

131103430000 has 100 divisors (see below), whose sum is σ = 317890623688. Its totient is φ = 52362720000.

The previous prime is 131103429997. The next prime is 131103430009. The reversal of 131103430000 is 34301131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103430009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6900514 + ... + 6919486.

Almost surely, 2131103430000 is an apocalyptic number.

131103430000 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 131103430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158945311844).

131103430000 is an abundant number, since it is smaller than the sum of its proper divisors (186787193688).

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

131103430000 is an equidigital number, since it uses as much as digits as its factorization.

131103430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19692 (or 19671 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131103430000 its reverse (34301131), we get a palindrome (131137731131).

The spelling of 131103430000 in words is "one hundred thirty-one billion, one hundred three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 691 1000 1250 1382 2000 2500 2764 3455 5000 5528 6910 10000 11056 13820 17275 18973 27640 34550 37946 55280 69100 75892 86375 94865 138200 151784 172750 189730 276400 303568 345500 379460 431875 474325 691000 758920 863750 948650 1382000 1517840 1727500 1897300 2371625 3455000 3794600 4743250 6910000 7589200 9486500 11858125 13110343 18973000 23716250 26220686 37946000 47432500 52441372 65551715 94865000 104882744 131103430 189730000 209765488 262206860 327758575 524413720 655517150 1048827440 1311034300 1638792875 2622068600 3277585750 5244137200 6555171500 8193964375 13110343000 16387928750 26220686000 32775857500 65551715000 131103430000