Search a number
-
+
1001212002 = 2357242043
BaseRepresentation
bin111011101011010…
…100100001100010
32120202221211200000
4323223110201202
54022302241002
6243203240430
733545106300
oct7353244142
92522854600
101001212002
1147418143a
1223b379116
1312c572a4b
1496d85270
155cd7061c
hex3bad4862

1001212002 has 72 divisors (see below), whose sum is σ = 2616986736. Its totient is φ = 286053768.

The previous prime is 1001211989. The next prime is 1001212013. The reversal of 1001212002 is 2002121001.

1001212002 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2793 + ... + 44835.

It is an arithmetic number, because the mean of its divisors is an integer number (36347038).

Almost surely, 21001212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308493368).

1001212002 is an abundant number, since it is smaller than the sum of its proper divisors (1615774734).

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

1001212002 is an equidigital number, since it uses as much as digits as its factorization.

1001212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42074 (or 42055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001212002 is about 31641.9342329131. The cubic root of 1001212002 is about 1000.4038375599.

Adding to 1001212002 its reverse (2002121001), we get a palindrome (3003333003).

The spelling of 1001212002 in words is "one billion, one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3969 7938 11907 23814 42043 84086 126129 252258 294301 378387 588602 756774 882903 1135161 1765806 2060107 2270322 2648709 3405483 4120214 5297418 6180321 6810966 7946127 10216449 12360642 15892254 18540963 20432898 23838381 37081926 47676762 55622889 71515143 111245778 143030286 166868667 333737334 500606001 1001212002