Search a number
-
+
12003130122102 = 2327261736401581
BaseRepresentation
bin1010111010101011001001…
…0011101001111101110110
31120111111011202221210002200
42232222302103221331312
53033124402302401402
641310054543245330
72346124516424640
oct256526223517566
946444152853080
1012003130122102
11390855403a979
12141a353ba9846
13690b76033342
142d6d515b7890
1515c367b1921c
hexaeab24e9f76

12003130122102 has 48 divisors (see below), whose sum is σ = 29733394602912. Its totient is φ = 3428155198080.

The previous prime is 12003130122083. The next prime is 12003130122121. The reversal of 12003130122102 is 20122103130021.

12003130122102 is a `hidden beast` number, since 120 + 0 + 31 + 301 + 2 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12003130122083) and next prime (12003130122121).

It is a super-2 number, since 2×120031301221022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17871049 + ... + 18530532.

It is an arithmetic number, because the mean of its divisors is an integer number (619445720894).

Almost surely, 212003130122102 is an apocalyptic number.

12003130122102 is an abundant number, since it is smaller than the sum of its proper divisors (17730264480810).

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

12003130122102 is a wasteful number, since it uses less digits than its factorization.

12003130122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36404213 (or 36404210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12003130122102 its reverse (20122103130021), we get a palindrome (32125233252123).

The spelling of 12003130122102 in words is "twelve trillion, three billion, one hundred thirty million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2617 5234 7851 15702 18319 23553 36638 47106 54957 109914 164871 329742 36401581 72803162 109204743 218409486 254811067 327614229 509622134 655228458 764433201 1528866402 2293299603 4586599206 95262937477 190525874954 285788812431 571577624862 666840562339 857366437293 1333681124678 1714732874586 2000521687017 4001043374034 6001565061051 12003130122102