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1112111320122 = 2321137463327869
BaseRepresentation
bin10000001011101111000…
…000000000110000111010
310221022112221122120120200
4100023233000000300322
5121210100444220442
62210521421103030
7143230104151515
oct20135700006072
93838487576520
101112111320122
11399709936070
1215b64b9b7a76
1380b44017c9a
143bb7dbc1d7c
151dddddb034c
hex102ef000c3a

1112111320122 has 96 divisors (see below), whose sum is σ = 2705509797120. Its totient is φ = 327186034560.

The previous prime is 1112111320109. The next prime is 1112111320123. The reversal of 1112111320122 is 2210231112111.

It is a happy number.

1112111320122 is a `hidden beast` number, since 1 + 11 + 211 + 1 + 320 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1112111320095 and 1112111320104.

It is not an unprimeable number, because it can be changed into a prime (1112111320123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228004 + ... + 3555872.

It is an arithmetic number, because the mean of its divisors is an integer number (28182393720).

Almost surely, 21112111320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112111320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352754898560).

1112111320122 is an abundant number, since it is smaller than the sum of its proper divisors (1593398476998).

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

1112111320122 is a wasteful number, since it uses less digits than its factorization.

1112111320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328388 (or 328385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1112111320122 its reverse (2210231112111), we get a palindrome (3322342432233).

The spelling of 1112111320122 in words is "one trillion, one hundred twelve billion, one hundred eleven million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 463 666 814 926 1221 1389 2442 2778 3663 4167 5093 7326 8334 10186 15279 17131 30558 34262 45837 51393 91674 102786 154179 188441 308358 327869 376882 565323 655738 983607 1130646 1695969 1967214 2950821 3391938 3606559 5901642 7213118 10819677 12131153 21639354 24262306 32459031 36393459 64918062 72786918 109180377 133442683 151803347 218360754 266885366 303606694 400328049 455410041 800656098 910820082 1200984147 1366230123 1669836817 2401968294 2732460246 3339673634 5009510451 5616723839 10019020902 11233447678 15028531353 16850171517 30057062706 33700343034 50550514551 61783962229 101101029102 123567924458 185351886687 370703773374 556055660061 1112111320122