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1122000112 = 243110122397
BaseRepresentation
bin100001011100000…
…0101110011110000
32220012020111210201
41002320011303300
54244213000422
6303200204544
736542562232
oct10270056360
92805214721
101122000112
11526381322
12273909754
1314b5b45bc
14a9028252
156877e727
hex42e05cf0

1122000112 has 40 divisors (see below), whose sum is σ = 2266319232. Its totient is φ = 537504000.

The previous prime is 1122000101. The next prime is 1122000133. The reversal of 1122000112 is 2110002211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38898 + ... + 61294.

Almost surely, 21122000112 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 1122000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133159616).

1122000112 is an abundant number, since it is smaller than the sum of its proper divisors (1144319120).

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

1122000112 is a wasteful number, since it uses less digits than its factorization.

1122000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22537 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1122000112 is about 33496.2701207164. The cubic root of 1122000112 is about 1039.1166414212.

Adding to 1122000112 its reverse (2110002211), we get a palindrome (3232002323).

The spelling of 1122000112 in words is "one billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 101 124 202 248 404 496 808 1616 3131 6262 12524 22397 25048 44794 50096 89588 179176 358352 694307 1388614 2262097 2777228 4524194 5554456 9048388 11108912 18096776 36193552 70125007 140250014 280500028 561000056 1122000112