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13001100327644 = 2211133312207457
BaseRepresentation
bin1011110100110000110111…
…1101110111101011011100
31201000220010000221222001012
42331030031331313223130
53201002223140441034
643352342324234352
72511204246260612
oct275141575675334
951026100858035
1013001100327644
114162810219190
12155b84a23b9b8
13733cc9922270
1432d38420b6b2
151782c6084cce
hexbd30df77adc

13001100327644 has 72 divisors (see below), whose sum is σ = 26810662024944. Its totient is φ = 5438500531200.

The previous prime is 13001100327641. The next prime is 13001100327647. The reversal of 13001100327644 is 44672300110031.

It is an interprime number because it is at equal distance from previous prime (13001100327641) and next prime (13001100327647).

It is a self number, because there is not a number n which added to its sum of digits gives 13001100327644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001100327641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62565164 + ... + 62772620.

It is an arithmetic number, because the mean of its divisors is an integer number (372370305902).

Almost surely, 213001100327644 is an apocalyptic number.

It is an amenable number.

13001100327644 is an abundant number, since it is smaller than the sum of its proper divisors (13809561697300).

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

13001100327644 is a wasteful number, since it uses less digits than its factorization.

13001100327644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208147 (or 207814 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 13001100327644 its reverse (44672300110031), we get a palindrome (57673400437675).

The spelling of 13001100327644 in words is "thirteen trillion, one billion, one hundred million, three hundred twenty-seven thousand, six hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 331 572 662 1324 3641 4303 7282 8606 14564 17212 47333 94666 109561 189332 207457 219122 414914 438244 829828 1205171 1424293 2282027 2410342 2696941 2848586 4564054 4820684 5393882 5697172 9128108 10787764 15667223 29666351 31334446 59332702 62668892 68668267 118665404 137336534 274673068 755350937 892687471 1510701874 1785374942 3021403748 3570749884 9819562181 19639124362 22729196377 39278248724 45458392754 90916785508 250021160147 295479552901 500042320294 590959105802 1000084640588 1181918211604 3250275081911 6500550163822 13001100327644