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111112441224 = 233371271994951
BaseRepresentation
bin110011101111011010…
…0010100110110001000
3101121210121122211211220
41213132310110312020
53310024241104344
6123013325122040
711012320111221
oct1473664246610
9347717584756
10111112441224
1143139092724
121964b3b9320
13a629b15655
145540c40248
152d54ad9c19
hex19ded14d88

111112441224 has 128 divisors (see below), whose sum is σ = 289038336000. Its totient is φ = 35565868800.

The previous prime is 111112441211. The next prime is 111112441247. The reversal of 111112441224 is 422144211111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 111112441194 and 111112441203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22439949 + ... + 22444899.

It is an arithmetic number, because the mean of its divisors is an integer number (2258112000).

Almost surely, 2111112441224 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 111112441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144519168000).

111112441224 is an abundant number, since it is smaller than the sum of its proper divisors (177925894776).

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

111112441224 is a wasteful number, since it uses less digits than its factorization.

111112441224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5319 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 111112441224 its reverse (422144211111), we get a palindrome (533256652335).

The spelling of 111112441224 in words is "one hundred eleven billion, one hundred twelve million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 127 148 199 222 254 296 381 398 444 508 597 762 796 888 1016 1194 1524 1592 2388 3048 4699 4776 4951 7363 9398 9902 14097 14726 14853 18796 19804 22089 25273 28194 29452 29706 37592 39608 44178 50546 56388 58904 59412 75819 88356 101092 112776 118824 151638 176712 183187 202184 303276 366374 549561 606552 628777 732748 935101 985249 1099122 1257554 1465496 1870202 1886331 1970498 2198244 2515108 2805303 2955747 3740404 3772662 3940996 4396488 5030216 5610606 5911494 7480808 7545324 7881992 11221212 11822988 15090648 22442424 23264749 23645976 36454213 46529498 69794247 72908426 93058996 109362639 125126623 139588494 145816852 186117992 218725278 250253246 279176988 291633704 375379869 437450556 500506492 558353976 750759738 874901112 1001012984 1501519476 3003038952 4629685051 9259370102 13889055153 18518740204 27778110306 37037480408 55556220612 111112441224