Search a number
-
+
10012331121303 = 3737263293167221
BaseRepresentation
bin1001000110110010110101…
…1100001001101010010111
31022110011120120102010012210
42101230231130021222113
52303020223231340203
633143333523444503
72052236620216260
oct221545534115227
938404516363183
1010012331121303
113210229995a65
121158559526733
1357820aa962c4
14268856b01967
1512569c7bd803
hex91b2d709a97

10012331121303 has 64 divisors (see below), whose sum is σ = 15782588946432. Its totient is φ = 5526575516160.

The previous prime is 10012331121301. The next prime is 10012331121329. The reversal of 10012331121303 is 30312113321001.

It is a happy number.

10012331121303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012331121303 - 21 = 10012331121301 is a prime.

It is a super-2 number, since 2×100123311213032 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10012331121303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012331121301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59791233 + ... + 59958453.

It is an arithmetic number, because the mean of its divisors is an integer number (246602952288).

Almost surely, 210012331121303 is an apocalyptic number.

10012331121303 is a deficient number, since it is larger than the sum of its proper divisors (5770257825129).

10012331121303 is a wasteful number, since it uses less digits than its factorization.

10012331121303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167824.

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

Adding to 10012331121303 its reverse (30312113321001), we get a palindrome (40324444442304).

The spelling of 10012331121303 in words is "ten trillion, twelve billion, three hundred thirty-one million, one hundred twenty-one thousand, three hundred three".

Divisors: 1 3 7 21 37 111 259 263 293 777 789 879 1841 2051 5523 6153 9731 10841 29193 32523 68117 75887 77059 167221 204351 227661 231177 501663 539413 1170547 1618239 2851183 3511641 6187177 8553549 18561531 19958281 43310239 43979123 48995753 59874843 129930717 131937369 146987259 307853861 342970271 923561583 1028910813 1627227551 1812842861 4881682653 5438528583 11390592857 12689900027 12885883039 34171778571 38069700081 38657649117 90201181273 270603543819 476777672443 1430333017329 3337443707101 10012331121303