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13132021234320 = 2432573249848197
BaseRepresentation
bin1011111100011000100101…
…1101011111101010010000
31201111102001010202010010200
42333012021131133222100
53210123334413444240
643532433421455200
72523520504520232
oct277061135375220
951442033663120
1013132021234320
1142032936aa10a
1215810a7411500
13743462530491
14335843b16252
1517b8d9ba4930
hexbf18975fa90

13132021234320 has 120 divisors (see below), whose sum is σ = 44705837764536. Its totient is φ = 3453901461504.

The previous prime is 13132021234307. The next prime is 13132021234331. The reversal of 13132021234320 is 2343212023131.

13132021234320 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 202 + 1 + 23 + 432 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4301210532096 + 8830810702224 = 2073936^2 + 2971668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124871539 + ... + 124976658.

Almost surely, 213132021234320 is an apocalyptic number.

13132021234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132021234320 is an abundant number, since it is smaller than the sum of its proper divisors (31573816530216).

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

13132021234320 is a wasteful number, since it uses less digits than its factorization.

13132021234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249848289 (or 249848280 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13132021234320 its reverse (2343212023131), we get a palindrome (15475233257451).

The spelling of 13132021234320 in words is "thirteen trillion, one hundred thirty-two billion, twenty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5840 6570 8760 10512 13140 17520 26280 52560 249848197 499696394 749544591 999392788 1249240985 1499089182 1998785576 2248633773 2498481970 2998178364 3747722955 3997571152 4497267546 4996963940 5996356728 7495445910 8994535092 9993927880 11243168865 11992713456 14990891820 17989070184 18238918381 19987855760 22486337730 29981783640 35978140368 36477836762 44972675460 54716755143 59963567280 72955673524 89945350920 91194591905 109433510286 145911347048 164150265429 179890701840 182389183810 218867020572 273583775715 291822694096 328300530858 364778367620 437734041144 547167551430 656601061716 729556735240 820751327145 875468082288 1094335102860 1313202123432 1459113470480 1641502654290 2188670205720 2626404246864 3283005308580 4377340411440 6566010617160 13132021234320