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100443112 = 2371141297
BaseRepresentation
bin1011111110010…
…10001111101000
321000000001001021
411333022033220
5201203134422
613544502224
72326516030
oct577121750
9230001037
10100443112
1151774440
122977a974
1317a6a3c3
14d4a88c0
158c40dc7
hex5fca3e8

100443112 has 96 divisors (see below), whose sum is σ = 243149760. Its totient is φ = 37785600.

The previous prime is 100443103. The next prime is 100443121. The reversal of 100443112 is 211344001.

It is an interprime number because it is at equal distance from previous prime (100443103) and next prime (100443121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035448 + ... + 1035544.

It is an arithmetic number, because the mean of its divisors is an integer number (2532810).

Almost surely, 2100443112 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 100443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121574880).

100443112 is an abundant number, since it is smaller than the sum of its proper divisors (142706648).

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

100443112 is a wasteful number, since it uses less digits than its factorization.

100443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100443112 is about 10022.1311106970. The cubic root of 100443112 is about 464.8434544529.

Adding to 100443112 its reverse (211344001), we get a palindrome (311787113).

The spelling of 100443112 in words is "one hundred million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 97 154 164 194 287 308 328 388 451 574 616 679 776 902 1067 1148 1358 1681 1804 2134 2296 2716 3157 3362 3608 3977 4268 5432 6314 6724 7469 7954 8536 11767 12628 13448 14938 15908 18491 23534 25256 27839 29876 31816 36982 43747 47068 55678 59752 73964 87494 94136 111356 129437 147928 163057 174988 222712 258874 306229 326114 349976 517748 612458 652228 1035496 1141399 1224916 1304456 1793627 2282798 2449832 3587254 4565596 7174508 9131192 12555389 14349016 25110778 50221556 100443112