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13132244000 = 255329113209
BaseRepresentation
bin11000011101011111…
…00010010000100000
31020220012122010010102
430032233202100200
5203343323302000
610011033321532
7643300142441
oct141657422040
936805563112
1013132244000
11562989a317
122665b662a8
1313138c49a5
148c81512c8
1551cd753d5
hex30ebe2420

13132244000 has 96 divisors (see below), whose sum is σ = 33378836400. Its totient is φ = 5071718400.

The previous prime is 13132243991. The next prime is 13132244011. The reversal of 13132244000 is 44223131.

It can be written as a sum of positive squares in 8 ways, for example, as 1629252496 + 11502991504 = 40364^2 + 107252^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59396 + ... + 172604.

Almost surely, 213132244000 is an apocalyptic number.

13132244000 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 13132244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689418200).

13132244000 is an abundant number, since it is smaller than the sum of its proper divisors (20246592400).

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

13132244000 is a wasteful number, since it uses less digits than its factorization.

13132244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113263 (or 113245 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13132244000 its reverse (44223131), we get a palindrome (13176467131).

The spelling of 13132244000 in words is "thirteen billion, one hundred thirty-two million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 113209 116000 226418 452836 566045 905672 1132090 1811344 2264180 2830225 3283061 3622688 4528360 5660450 6566122 9056720 11320900 13132244 14151125 16415305 18113440 22641800 26264488 28302250 32830610 45283600 52528976 56604500 65661220 82076525 90567200 105057952 113209000 131322440 164153050 226418000 262644880 328306100 410382625 452836000 525289760 656612200 820765250 1313224400 1641530500 2626448800 3283061000 6566122000 13132244000