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1010222112 = 25322347189
BaseRepresentation
bin111100001101101…
…100010000100000
32121101220121012210
4330031230100200
54032104101422
6244124322120
734014513654
oct7415542040
92541817183
101010222112
11479275909
122423a3340
131313a8b83
149824ca64
155da5010c
hex3c36c420

1010222112 has 48 divisors (see below), whose sum is σ = 2663781120. Its totient is φ = 335223552.

The previous prime is 1010222071. The next prime is 1010222201. The reversal of 1010222112 is 2112220101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187 + ... + 45002.

It is an arithmetic number, because the mean of its divisors is an integer number (55495440).

Almost surely, 21010222112 is an apocalyptic number.

1010222112 is a gapful number since it is divisible by the number (12) 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 1010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331890560).

1010222112 is an abundant number, since it is smaller than the sum of its proper divisors (1653559008).

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

1010222112 is a wasteful number, since it uses less digits than its factorization.

1010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47425 (or 47417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1010222112 is about 31783.9914422339. The cubic root of 1010222112 is about 1003.3958259794.

Adding to 1010222112 its reverse (2112220101), we get a palindrome (3122442213).

The spelling of 1010222112 in words is "one billion, ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 21408 47189 94378 141567 188756 283134 377512 566268 755024 1132536 1510048 2265072 4530144 10523147 21046294 31569441 42092588 63138882 84185176 126277764 168370352 252555528 336740704 505111056 1010222112