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111022201022112 = 25322185911763539
BaseRepresentation
bin11001001111100101011110…
…110110101010011010100000
3112120002121201002002222120100
4121033211132312222122200
5104022441431430201422
61032042521155142400
732246042432036562
oct3117453666523240
9476077632088510
10111022201022112
1132414284152646
1210550a1a5a4a00
1349c446bc43573
141d5b708ad5332
15cc7e200647ac
hex64f95edaa6a0

111022201022112 has 72 divisors (see below), whose sum is σ = 315721007521920. Its totient is φ = 37007210056320.

The previous prime is 111022201022099. The next prime is 111022201022113. The reversal of 111022201022112 is 211220102220111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111022201022113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62072439 + ... + 63835977.

It is an arithmetic number, because the mean of its divisors is an integer number (4385013993360).

Almost surely, 2111022201022112 is an apocalyptic number.

111022201022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111022201022112 is an abundant number, since it is smaller than the sum of its proper divisors (204698806499808).

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

111022201022112 is a wasteful number, since it uses less digits than its factorization.

111022201022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982146 (or 1982135 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111022201022112 its reverse (211220102220111), we get a palindrome (322242303242223).

The spelling of 111022201022112 in words is "one hundred eleven trillion, twenty-two billion, two hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 218591 437182 655773 874364 1311546 1748728 1763539 1967319 2623092 3497456 3527078 3934638 5246184 5290617 6994912 7054156 7869276 10492368 10581234 14108312 15738552 15871851 20984736 21162468 28216624 31477104 31743702 42324936 56433248 62954208 63487404 84649872 126974808 169299744 253949616 507899232 385493753549 770987507098 1156481260647 1541975014196 2312962521294 3083950028392 3469443781941 4625925042588 6167900056784 6938887563882 9251850085176 12335800113568 13877775127764 18503700170352 27755550255528 37007400340704 55511100511056 111022201022112