Search a number
-
+
10012303112133 = 371274211891509
BaseRepresentation
bin1001000110110010101111…
…0001010011011111000101
31022110011111121201002212010
42101230223301103133011
52303020144044042013
633143331043244433
72052236130152010
oct221545361233705
938404447632763
1010012303112133
1132102150a5293
121158550079719
1357820503a52a
142688530d0377
1512569a0d97c3
hex91b2bc537c5

10012303112133 has 32 divisors (see below), whose sum is σ = 15380644331520. Its totient is φ = 5674912004160.

The previous prime is 10012303112113. The next prime is 10012303112209. The reversal of 10012303112133 is 33121130321001.

It is a happy number.

It is not a de Polignac number, because 10012303112133 - 236 = 9943583635397 is a prime.

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 (10012303112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10784983 + ... + 11676491.

It is an arithmetic number, because the mean of its divisors is an integer number (480645135360).

Almost surely, 210012303112133 is an apocalyptic number.

It is an amenable number.

10012303112133 is a deficient number, since it is larger than the sum of its proper divisors (5368341219387).

10012303112133 is a wasteful number, since it uses less digits than its factorization.

10012303112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895857.

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

Adding to 10012303112133 its reverse (33121130321001), we get a palindrome (43133433433134).

The spelling of 10012303112133 in words is "ten trillion, twelve billion, three hundred three million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 21 127 381 889 2667 4211 12633 29477 88431 534797 891509 1604391 2674527 3743579 6240563 11230737 18721689 113221643 339664929 792551501 2377654503 3754144399 11262433197 26279010793 78837032379 476776338673 1430329016019 3337434370711 10012303112133