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12030232220013 = 371626013523153
BaseRepresentation
bin1010111100010000000110…
…1101111101000101101101
31120121002010120100000010210
42233010001231331011231
53034100403422020023
641330340135253033
72351104240441440
oct257040155750555
946532116300123
1012030232220013
113918aa15081a7
12142365851a179
136935a4c10577
142d83a2bd5657
1515ce0211a593
hexaf101b7d16d

12030232220013 has 16 divisors (see below), whose sum is σ = 18331900374656. Its totient is φ = 6874374182400.

The previous prime is 12030232219937. The next prime is 12030232220021. The reversal of 12030232220013 is 31002223203021.

It is a happy number.

It is not a de Polignac number, because 12030232220013 - 225 = 12030198665581 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030232220213) 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, 1653045 + ... + 5176197.

It is an arithmetic number, because the mean of its divisors is an integer number (1145743773416).

Almost surely, 212030232220013 is an apocalyptic number.

It is an amenable number.

12030232220013 is a deficient number, since it is larger than the sum of its proper divisors (6301668154643).

12030232220013 is a wasteful number, since it uses less digits than its factorization.

12030232220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685764.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12030232220013 its reverse (31002223203021), we get a palindrome (43032455423034).

It can be divided in two parts, 1203023 and 2220013, that added together give a triangular number (3423036 = T2616).

The spelling of 12030232220013 in words is "twelve trillion, thirty billion, two hundred thirty-two million, two hundred twenty thousand, thirteen".

Divisors: 1 3 7 21 162601 487803 1138207 3414621 3523153 10569459 24662071 73986213 572868200953 1718604602859 4010077406671 12030232220013