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13220121031 = 13107163199293
BaseRepresentation
bin11000100111111101…
…10000100111000111
31021010022222201202021
430103332300213013
5204033322333111
610023453024011
7645415113625
oct142376604707
937108881667
1013220121031
115674460667
12268b485007
131328b82530
148d5aa8515
15525932d71
hex313fb09c7

13220121031 has 32 divisors (see below), whose sum is σ = 14580518400. Its totient is φ = 11913796224.

The previous prime is 13220121029. The next prime is 13220121049. The reversal of 13220121031 is 13012102231.

It is a cyclic number.

It is not a de Polignac number, because 13220121031 - 21 = 13220121029 is a prime.

It is a super-2 number, since 2×132201210312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13220120996 and 13220121014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45119721 + ... + 45120013.

It is an arithmetic number, because the mean of its divisors is an integer number (455641200).

Almost surely, 213220121031 is an apocalyptic number.

13220121031 is a deficient number, since it is larger than the sum of its proper divisors (1360397369).

13220121031 is a wasteful number, since it uses less digits than its factorization.

13220121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13220121031 its reverse (13012102231), we get a palindrome (26232223262).

The spelling of 13220121031 in words is "thirteen billion, two hundred twenty million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 13 107 163 199 293 1391 2119 2587 3809 17441 21293 31351 32437 47759 58307 226733 276809 407563 421681 620867 757991 3470759 5110213 6238849 9504041 45119867 66432769 81105037 123552533 1016932387 13220121031