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112112102544 = 243131922134273
BaseRepresentation
bin110100001101001100…
…1101110110010010000
3101201101021200220101020
41220122121232302100
53314101144240134
6123300435235440
711046146101551
oct1503231566220
9351337626336
10112112102544
11436013a5002
121988a148b80
13a758c64620
1455d7900328
152db2750b49
hex1a1a66ec90

112112102544 has 160 divisors (see below), whose sum is σ = 328542721920. Its totient is φ = 32658038784.

The previous prime is 112112102533. The next prime is 112112102561. The reversal of 112112102544 is 445201211211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26235192 + ... + 26239464.

It is an arithmetic number, because the mean of its divisors is an integer number (2053392012).

Almost surely, 2112112102544 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 112112102544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164271360960).

112112102544 is an abundant number, since it is smaller than the sum of its proper divisors (216430619376).

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

112112102544 is a wasteful number, since it uses less digits than its factorization.

112112102544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 112112102544 its reverse (445201211211), we get a palindrome (557313313755).

The spelling of 112112102544 in words is "one hundred twelve billion, one hundred twelve million, one hundred two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2213 2964 3952 4273 4426 5928 6639 8546 8852 11856 12819 13278 17092 17704 25638 26556 28769 34184 35408 42047 51276 53112 55549 57538 68368 81187 84094 86307 102552 106224 111098 115076 126141 162374 166647 168188 172614 205104 222196 230152 243561 252282 324748 333294 336376 345228 444392 460304 487122 504564 546611 649496 666588 672752 690456 888784 974244 1009128 1055431 1093222 1298992 1333176 1380912 1639833 1948488 2018256 2110862 2186444 2666352 3166293 3279666 3896976 4221724 4372888 6332586 6559332 8443448 8745776 9456149 12665172 13118664 16886896 18912298 25330344 26237328 28368447 37824596 50660688 56736894 75649192 113473788 122929937 151298384 179666831 226947576 245859874 359333662 368789811 453895152 491719748 539000493 718667324 737579622 983439496 1078000986 1437334648 1475159244 1966878992 2156001972 2335668803 2874669296 2950318488 4312003944 4671337606 5900636976 7007006409 8624007888 9342675212 14014012818 18685350424 28028025636 37370700848 56056051272 112112102544