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1122150016 = 27134315683
BaseRepresentation
bin100001011100010…
…1010011010000000
32220012112010102201
41002320222122000
54244232300031
6303203322544
736544055251
oct10270523200
92805463381
101122150016
11526473a09
12273980454
1314b6378c0
14a9066b28
15687add61
hex42e2a680

1122150016 has 64 divisors (see below), whose sum is σ = 2463642720. Its totient is φ = 505838592.

The previous prime is 1122150011. The next prime is 1122150017. The reversal of 1122150016 is 6100512211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1122149975 and 1122150002.

It is not an unprimeable number, because it can be changed into a prime (1122150011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63711 + ... + 79393.

Almost surely, 21122150016 is an apocalyptic number.

1122150016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231821360).

1122150016 is an abundant number, since it is smaller than the sum of its proper divisors (1341492704).

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

1122150016 is a wasteful number, since it uses less digits than its factorization.

1122150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15753 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1122150016 is about 33498.5076682529. The cubic root of 1122150016 is about 1039.1629161654.

Adding to 1122150016 its reverse (6100512211), we get a palindrome (7222662227).

The spelling of 1122150016 in words is "one billion, one hundred twenty-two million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8944 15683 17888 31366 35776 62732 71552 125464 203879 250928 407758 501856 674369 815516 1003712 1348738 1631032 2007424 2697476 3262064 5394952 6524128 8766797 10789904 13048256 17533594 21579808 26096512 35067188 43159616 70134376 86319232 140268752 280537504 561075008 1122150016