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13130311000 = 2353196111329
BaseRepresentation
bin11000011101010000…
…01010010101011000
31020220001222220112211
430032220022111120
5203342324423000
610010524044504
7643244542042
oct141650122530
936801886484
1013130311000
115628799aa4
122665393734
131313398bc1
148c7baaa92
1551cae27ba
hex30ea0a558

13130311000 has 128 divisors (see below), whose sum is σ = 32875128000. Its totient is φ = 4893696000.

The previous prime is 13130310983. The next prime is 13130311003. The reversal of 13130311000 is 11303131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130311003) 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, 1153336 + ... + 1164664.

Almost surely, 213130311000 is an apocalyptic number.

13130311000 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 13130311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437564000).

13130311000 is an abundant number, since it is smaller than the sum of its proper divisors (19744817000).

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

13130311000 is a wasteful number, since it uses less digits than its factorization.

13130311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13130311000 its reverse (11303131), we get a palindrome (13141614131).

The spelling of 13130311000 in words is "thirteen billion, one hundred thirty million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 122 125 152 190 200 244 250 305 380 475 488 500 610 760 950 1000 1159 1220 1525 1900 2318 2375 2440 3050 3800 4636 4750 5795 6100 7625 9272 9500 11329 11590 12200 15250 19000 22658 23180 28975 30500 45316 46360 56645 57950 61000 90632 113290 115900 144875 215251 226580 231800 283225 289750 430502 453160 566450 579500 691069 861004 1076255 1132900 1159000 1382138 1416125 1722008 2152510 2265800 2764276 2832250 3455345 4305020 5381275 5528552 5664500 6910690 8610040 10762550 11329000 13130311 13821380 17276725 21525100 26260622 26906375 27642760 34553450 43050200 52521244 53812750 65651555 69106900 86383625 105042488 107625500 131303110 138213800 172767250 215251000 262606220 328257775 345534500 525212440 656515550 691069000 1313031100 1641288875 2626062200 3282577750 6565155500 13130311000