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13300123310112 = 253296771303629
BaseRepresentation
bin1100000110001010110100…
…1000000001100000100000
31202002110221110110100200210
43001202231020001200200
53220402123031410422
644141554200414120
72541621311552532
oct301425510014040
952073843410623
1013300123310112
114268606969781
1215a97a0477340
137562721cc792
1433da2d6a5852
15180e77aa210c
hexc18ad201820

13300123310112 has 96 divisors (see below), whose sum is σ = 36655770110400. Its totient is φ = 4216611345408.

The previous prime is 13300123310063. The next prime is 13300123310191. The reversal of 13300123310112 is 21101332100331.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35465287 + ... + 35838342.

It is an arithmetic number, because the mean of its divisors is an integer number (381830938650).

Almost surely, 213300123310112 is an apocalyptic number.

13300123310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300123310112 is an abundant number, since it is smaller than the sum of its proper divisors (23355646800288).

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

13300123310112 is a wasteful number, since it uses less digits than its factorization.

13300123310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71303738 (or 71303730 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13300123310112 its reverse (21101332100331), we get a palindrome (34401455410443).

The spelling of 13300123310112 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 67 87 96 116 134 174 201 232 268 348 402 464 536 696 804 928 1072 1392 1608 1943 2144 2784 3216 3886 5829 6432 7772 11658 15544 23316 31088 46632 62176 93264 186528 71303629 142607258 213910887 285214516 427821774 570429032 855643548 1140858064 1711287096 2067805241 2281716128 3422574192 4135610482 4777343143 6203415723 6845148384 8271220964 9554686286 12406831446 14332029429 16542441928 19109372572 24813662892 28664058858 33084883856 38218745144 49627325784 57328117716 66169767712 76437490288 99254651568 114656235432 138542951147 152874980576 198509303136 229312470864 277085902294 415628853441 458624941728 554171804588 831257706882 1108343609176 1662515413764 2216687218352 3325030827528 4433374436704 6650061655056 13300123310112