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111223312122 = 231343211157163
BaseRepresentation
bin110011110010101101…
…1010000111011111010
3101122002100021200010110
41213211123100323322
53310241131441442
6123032325325150
711015134361046
oct1474533207372
9348070250113
10111223312122
114319572966a
12196805667b6
13a646a94230
145551861026
152d5e6da69c
hex19e56d0efa

111223312122 has 64 divisors (see below), whose sum is σ = 246292333056. Its totient is φ = 33268052160.

The previous prime is 111223312099. The next prime is 111223312139. The reversal of 111223312122 is 221213322111.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629113 + ... + 786275.

It is an arithmetic number, because the mean of its divisors is an integer number (3848317704).

Almost surely, 2111223312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111223312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123146166528).

111223312122 is an abundant number, since it is smaller than the sum of its proper divisors (135069020934).

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

111223312122 is a wasteful number, since it uses less digits than its factorization.

111223312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157435.

The product of its digits is 288, while the sum is 21.

Adding to 111223312122 its reverse (221213322111), we get a palindrome (332436634233).

The spelling of 111223312122 in words is "one hundred eleven billion, two hundred twenty-three million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 211 258 422 559 633 1118 1266 1677 2743 3354 5486 8229 9073 16458 18146 27219 54438 117949 157163 235898 314326 353847 471489 707694 942978 2043119 4086238 6129357 6758009 12258714 13516018 20274027 33161393 40548054 66322786 87854117 99484179 175708234 198968358 263562351 431098109 527124702 862196218 1293294327 1425939899 2586588654 2851879798 4277819697 8555639394 18537218687 37074437374 55611656061 111223312122