Search a number
-
+
1011212112 = 243236731361
BaseRepresentation
bin111100010001011…
…101111101010000
32121110202220020110
4330101131331100
54032332241422
6244201441320
734026106161
oct7421357520
92543686213
101011212112
11479891699
122427a0240
13131664681
1498429768
155db9860c
hex3c45df50

1011212112 has 80 divisors (see below), whose sum is σ = 2731932288. Its totient is φ = 321699840.

The previous prime is 1011212093. The next prime is 1011212117. The reversal of 1011212112 is 2112121101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742312 + ... + 743672.

Almost surely, 21011212112 is an apocalyptic number.

1011212112 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 1011212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365966144).

1011212112 is an abundant number, since it is smaller than the sum of its proper divisors (1720720176).

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

1011212112 is a wasteful number, since it uses less digits than its factorization.

1011212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1011212112 is about 31799.5615064107. The cubic root of 1011212112 is about 1003.7234890877.

Adding to 1011212112 its reverse (2112121101), we get a palindrome (3123333213).

The spelling of 1011212112 in words is "one billion, eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 673 1104 1346 1361 2019 2692 2722 4038 4083 5384 5444 8076 8166 10768 10888 15479 16152 16332 21776 30958 31303 32304 32664 46437 61916 62606 65328 92874 93909 123832 125212 185748 187818 247664 250424 371496 375636 500848 742992 751272 915953 1502544 1831906 2747859 3663812 5495718 7327624 10991436 14655248 21066919 21982872 42133838 43965744 63200757 84267676 126401514 168535352 252803028 337070704 505606056 1011212112