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13230011040 = 2535193142811
BaseRepresentation
bin11000101001001000…
…11111001010100000
31021011000121012021220
430110210133022200
5204043340323130
610024445015040
7645565144521
oct142444371240
937130535256
1013230011040
115679aa6124
122692854480
13132ac35ccc
148d7120848
15526738410
hex31491f2a0

13230011040 has 96 divisors (see below), whose sum is σ = 41890758336. Its totient is φ = 3509698560.

The previous prime is 13230010991. The next prime is 13230011063. The reversal of 13230011040 is 4011003231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 21235 + ... + 164045.

It is an arithmetic number, because the mean of its divisors is an integer number (436362066).

Almost surely, 213230011040 is an apocalyptic number.

13230011040 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 13230011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20945379168).

13230011040 is an abundant number, since it is smaller than the sum of its proper divisors (28660747296).

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

13230011040 is a wasteful number, since it uses less digits than its factorization.

13230011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143022 (or 143014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13230011040 its reverse (4011003231), we get a palindrome (17241014271).

The spelling of 13230011040 in words is "thirteen billion, two hundred thirty million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 15440 18528 23160 30880 46320 92640 142811 285622 428433 571244 714055 856866 1142488 1428110 1713732 2142165 2284976 2856220 3427464 4284330 4569952 5712440 6854928 8568660 11424880 13709856 17137320 22849760 27562523 34274640 55125046 68549280 82687569 110250092 137812615 165375138 220500184 275625230 330750276 413437845 441000368 551250460 661500552 826875690 882000736 1102500920 1323001104 1653751380 2205001840 2646002208 3307502760 4410003680 6615005520 13230011040