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12130020221293 = 136189229750521
BaseRepresentation
bin1011000010000011110110…
…0010111110000101101101
31120221121200222001200211001
42300200331202332011231
53042214240134040133
641444242050400301
72361236131450042
oct260407542760555
946847628050731
1012130020221293
113957349205547
12143aa67290091
1369cb18824480
142dd14ba2d1c9
151607e292a87d
hexb083d8be16d

12130020221293 has 32 divisors (see below), whose sum is σ = 13485079087200. Its totient is φ = 10842071961600.

The previous prime is 12130020221257. The next prime is 12130020221321. The reversal of 12130020221293 is 39212202003121.

12130020221293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 9692493678729 + 2437526542564 = 3113277^2 + 1561258^2 .

It is a cyclic number.

It is not a de Polignac number, because 12130020221293 - 233 = 12121430286701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130020227293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15786873 + ... + 16537393.

It is an arithmetic number, because the mean of its divisors is an integer number (421408721475).

Almost surely, 212130020221293 is an apocalyptic number.

12130020221293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12130020221293 is a deficient number, since it is larger than the sum of its proper divisors (1355058865907).

12130020221293 is a wasteful number, since it uses less digits than its factorization.

12130020221293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750913.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 12130020221293 in words is "twelve trillion, one hundred thirty billion, twenty million, two hundred twenty-one thousand, two hundred ninety-three".

Divisors: 1 13 61 89 229 793 1157 2977 5429 13969 20381 70577 181597 264953 750521 1243241 9756773 16162133 45781781 66796369 171869309 595163153 868352797 2234301017 4074578509 10484027849 15296368501 52969520617 136292362037 198852790513 933078478561 12130020221293