Search a number
-
+
1001213112 = 233416011693
BaseRepresentation
bin111011101011010…
…100110010111000
32120202221220012010
4323223110302320
54022302304422
6243203245520
733545112444
oct7353246270
92522856163
101001213112
11474182259
1223b3798a0
1312c5733c3
1496d85824
155cd70b0c
hex3bad4cb8

1001213112 has 64 divisors (see below), whose sum is σ = 2569865760. Its totient is φ = 324864000.

The previous prime is 1001213063. The next prime is 1001213119. The reversal of 1001213112 is 2113121001.

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 (1001213119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590538 + ... + 592230.

Almost surely, 21001213112 is an apocalyptic number.

1001213112 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 1001213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284932880).

1001213112 is an abundant number, since it is smaller than the sum of its proper divisors (1568652648).

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

1001213112 is a wasteful number, since it uses less digits than its factorization.

1001213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

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

The square root of 1001213112 is about 31641.9517729232. The cubic root of 1001213112 is about 1000.4042072611.

Adding to 1001213112 its reverse (2113121001), we get a palindrome (3114334113).

The spelling of 1001213112 in words is "one billion, one million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 601 984 1202 1693 1803 2404 3386 3606 4808 5079 6772 7212 10158 13544 14424 20316 24641 40632 49282 69413 73923 98564 138826 147846 197128 208239 277652 295692 416478 555304 591384 832956 1017493 1665912 2034986 3052479 4069972 6104958 8139944 12209916 24419832 41717213 83434426 125151639 166868852 250303278 333737704 500606556 1001213112