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13220111566112 = 25111713381165103
BaseRepresentation
bin1100000001100000110000…
…0011011100010100100000
31201210211102022020121221212
43000120030003130110200
53213044242030103422
644041122503205252
72533056455136053
oct300301403342440
951724368217855
1013220111566112
114237688371210
121596190746828
1374b860815369
14339bdd150a9a
1517dd435639e2
hexc060c0dc520

13220111566112 has 96 divisors (see below), whose sum is σ = 30065810874624. Its totient is φ = 5655205785600.

The previous prime is 13220111566111. The next prime is 13220111566133. The reversal of 13220111566112 is 21166511102231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13220111566111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79989353 + ... + 80154455.

It is an arithmetic number, because the mean of its divisors is an integer number (313185529944).

Almost surely, 213220111566112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220111566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032905437312).

13220111566112 is an abundant number, since it is smaller than the sum of its proper divisors (16845699308512).

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

13220111566112 is a wasteful number, since it uses less digits than its factorization.

13220111566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178522 (or 178514 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Adding to 13220111566112 its reverse (21166511102231), we get a palindrome (34386622668343).

The spelling of 13220111566112 in words is "thirteen trillion, two hundred twenty billion, one hundred eleven million, five hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 13381 26762 53524 107048 147191 165103 214096 227477 294382 330206 428192 454954 588764 660412 909908 1177528 1320824 1816133 1819816 2355056 2502247 2641648 2806751 3632266 3639632 4710112 5004494 5283296 5613502 7264532 7279264 10008988 11227004 14529064 20017976 22454008 29058128 30874261 40035952 44908016 58116256 61748522 80071904 89816032 123497044 246994088 493988176 987976352 2209243243 4418486486 8836972972 17673945944 24301675673 35347891888 37557135131 48603351346 70695783776 75114270262 97206702692 150228540524 194413405384 300457081048 388826810768 413128486441 600914162096 777653621536 826256972882 1201828324192 1652513945764 3305027891528 6610055783056 13220111566112