Search a number
-
+
1012211112 = 2331119919267
BaseRepresentation
bin111100010101010…
…001110110101000
32121112122122121110
4330111101312220
54033111223422
6244235110320
734040436543
oct7425216650
92545578543
101012211112
1147a404210
12242ba23a0
131319242b3
149860985a
155dce460c
hex3c551da8

1012211112 has 64 divisors (see below), whose sum is σ = 2774592000. Its totient is φ = 305173440.

The previous prime is 1012211107. The next prime is 1012211131. The reversal of 1012211112 is 2111122101.

1012211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 42903 + ... + 62169.

It is an arithmetic number, because the mean of its divisors is an integer number (43353000).

Almost surely, 21012211112 is an apocalyptic number.

1012211112 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 1012211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387296000).

1012211112 is an abundant number, since it is smaller than the sum of its proper divisors (1762380888).

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

1012211112 is a wasteful number, since it uses less digits than its factorization.

1012211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19486 (or 19482 counting only the distinct ones).

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

The square root of 1012211112 is about 31815.2653925753. The cubic root of 1012211112 is about 1004.0539142384.

Adding to 1012211112 its reverse (2111122101), we get a palindrome (3123333213).

The spelling of 1012211112 in words is "one billion, twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 2189 2388 4378 4776 6567 8756 13134 17512 19267 26268 38534 52536 57801 77068 115602 154136 211937 231204 423874 462408 635811 847748 1271622 1695496 2543244 3834133 5086488 7668266 11502399 15336532 23004798 30673064 42175463 46009596 84350926 92019192 126526389 168701852 253052778 337403704 506105556 1012211112