Search a number
-
+
10003123113312 = 253731736577817
BaseRepresentation
bin1001000110010000100010…
…0110011000110101100000
31022102021210211220211212210
42101210020212120311200
52302342344004111222
633135212112122120
72051462500356030
oct221441046306540
938367724824783
1010003123113312
1132073342422aa
121156809836340
135773a11b6a74
14268221c218c0
1512530e204d0c
hex91908998d60

10003123113312 has 192 divisors, whose sum is σ = 31401766416384. Its totient is φ = 2727951851520.

The previous prime is 10003123113259. The next prime is 10003123113317. The reversal of 10003123113312 is 21331132130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003123113317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1768173 + ... + 4809644.

It is an arithmetic number, because the mean of its divisors is an integer number (163550866752).

Almost surely, 210003123113312 is an apocalyptic number.

10003123113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003123113312 is an abundant number, since it is smaller than the sum of its proper divisors (21398643303072).

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

10003123113312 is a wasteful number, since it uses less digits than its factorization.

10003123113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577941 (or 6577933 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10003123113312 its reverse (21331132130001), we get a palindrome (31334255243313).

The spelling of 10003123113312 in words is "ten trillion, three billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred twelve".