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1002312211021 = 111991373333493
BaseRepresentation
bin11101001010111100111…
…01101001101001001101
310112211010212020220201021
432211132131221221031
5112410213411223041
62044242245114141
7132262142136022
oct16453635515115
93484125226637
101002312211021
113570951272a0
121423083b8951
1373696327a44
1436725573549
151b11474acd1
hexe95e769a4d

1002312211021 has 16 divisors (see below), whose sum is σ = 1099729814400. Its totient is φ = 905951027520.

The previous prime is 1002312211007. The next prime is 1002312211057. The reversal of 1002312211021 is 1201122132001.

It is not a de Polignac number, because 1002312211021 - 25 = 1002312210989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002312210986 and 1002312211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002312211091) 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 15 ways as a sum of consecutive naturals, for example, 2838751 + ... + 3172243.

It is an arithmetic number, because the mean of its divisors is an integer number (68733113400).

Almost surely, 21002312211021 is an apocalyptic number.

1002312211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002312211021 is a deficient number, since it is larger than the sum of its proper divisors (97417603379).

1002312211021 is a wasteful number, since it uses less digits than its factorization.

1002312211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335076.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1002312211021 its reverse (1201122132001), we get a palindrome (2203434343022).

The spelling of 1002312211021 in words is "one trillion, two billion, three hundred twelve million, two hundred eleven thousand, twenty-one".

Divisors: 1 11 199 1373 2189 15103 273227 333493 3005497 3668423 66365107 457885889 730016177 5036744779 91119291911 1002312211021