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12023010304201 = 133124124197397
BaseRepresentation
bin1010111011110101001101…
…0000100010000011001001
31120120101111021000200002101
42232331103100202003021
53033441111114213301
641323143352433401
72350430255246341
oct256752320420311
946511437020071
1012023010304201
113915a25971a36
1214221819a8861
136929c3948bc0
142d7cb99cdd21
1515cb2d0b8701
hexaef534220c9

12023010304201 has 48 divisors (see below), whose sum is σ = 13762330387344. Its totient is φ = 10434617856000.

The previous prime is 12023010304187. The next prime is 12023010304213. The reversal of 12023010304201 is 10240301032021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15537871801 + 12007472432400 = 124651^2 + 3465180^2 .

It is a de Polignac number, because none of the positive numbers 2k-12023010304201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12023010304231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123394635 + ... + 123492031.

It is an arithmetic number, because the mean of its divisors is an integer number (286715216403).

Almost surely, 212023010304201 is an apocalyptic number.

It is an amenable number.

12023010304201 is a deficient number, since it is larger than the sum of its proper divisors (1739320083143).

12023010304201 is a wasteful number, since it uses less digits than its factorization.

12023010304201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97754 (or 97723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12023010304201 its reverse (10240301032021), we get a palindrome (22263311336222).

The spelling of 12023010304201 in words is "twelve trillion, twenty-three billion, ten million, three hundred four thousand, two hundred one".

Divisors: 1 13 31 41 241 403 533 961 1271 3133 7471 9881 12493 16523 39401 97123 97397 128453 231601 306311 512213 1266161 3010813 3019307 3982043 3993277 9495641 23472677 39250991 51912601 93598517 123443333 123791587 305144801 727652987 962379757 1216780721 1609290631 3837539197 9459488831 12510936841 22557242597 29833772467 49888009561 293244153761 387839042071 924846946477 12023010304201