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1102312022013 = 323167364316187
BaseRepresentation
bin10000000010100110111…
…010101001111111111101
310220101021000112122200200
4100002212322221333331
5121030013334201023
62202221204114113
7142432214406336
oct20024672517775
93811230478620
101102312022013
11395540443394
12159776095939
137cc41a9c437
143b4d058528d
151da18949743
hex100a6ea9ffd

1102312022013 has 48 divisors (see below), whose sum is σ = 1668682868736. Its totient is φ = 700319014560.

The previous prime is 1102312021997. The next prime is 1102312022017. The reversal of 1102312022013 is 3102202132011.

It is not a de Polignac number, because 1102312022013 - 24 = 1102312021997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102312022017) 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 47 ways as a sum of consecutive naturals, for example, 68090506 + ... + 68106692.

It is an arithmetic number, because the mean of its divisors is an integer number (34764226432).

Almost surely, 21102312022013 is an apocalyptic number.

It is an amenable number.

1102312022013 is a deficient number, since it is larger than the sum of its proper divisors (566370846723).

1102312022013 is a wasteful number, since it uses less digits than its factorization.

1102312022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19934 (or 19931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1102312022013 its reverse (3102202132011), we get a palindrome (4204514154024).

The spelling of 1102312022013 in words is "one trillion, one hundred two billion, three hundred twelve million, twenty-two thousand, thirteen".

Divisors: 1 3 9 31 67 93 201 279 603 2077 3643 6231 10929 16187 18693 32787 48561 112933 145683 244081 338799 501797 732243 1016397 1084529 1505391 2196729 3253587 4516173 7566511 9760761 22699533 33620399 58969241 68098599 100861197 176907723 302583591 530723169 1828046471 3950939147 5484139413 11852817441 16452418239 35558452323 122479113557 367437340671 1102312022013