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202300440121413 = 32592234001427001
BaseRepresentation
bin101101111111110110111101…
…110111110001000001000101
3222112021201210111120102100200
4231333312331313301001011
5203003442300132341123
61554131312245001113
760416503331602104
oct5577667567610105
9875251714512320
10202300440121413
115950615353a137
121a8332200b3199
1388b5b078a030a
1437d5571c6203b
15185c4731b7143
hexb7fdbddf1045

202300440121413 has 48 divisors (see below), whose sum is σ = 298572369338880. Its totient is φ = 131953248000000.

The previous prime is 202300440121363. The next prime is 202300440121433. The reversal of 202300440121413 is 314121044003202.

202300440121413 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 0 + 0 + 440 + 1 + 214 + 1 + 3 = 666.

It is not a de Polignac number, because 202300440121413 - 212 = 202300440117317 is a prime.

It is a super-2 number, since 2×2023004401214132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202300440121433) 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, 473556913 + ... + 473983913.

It is an arithmetic number, because the mean of its divisors is an integer number (6220257694560).

Almost surely, 2202300440121413 is an apocalyptic number.

It is an amenable number.

202300440121413 is a deficient number, since it is larger than the sum of its proper divisors (96271929217467).

202300440121413 is a wasteful number, since it uses less digits than its factorization.

202300440121413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431290 (or 431287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 202300440121413 its reverse (314121044003202), we get a palindrome (516421484124615).

The spelling of 202300440121413 in words is "two hundred two trillion, three hundred billion, four hundred forty million, one hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 9 59 177 223 531 669 2007 4001 12003 13157 36009 39471 118413 236059 427001 708177 892223 1281003 2124531 2676669 3843009 8030007 25193059 52641157 75579177 95221223 157923471 226737531 285663669 473770413 856991007 1708431001 5125293003 5618052157 15375879009 16854156471 50562469413 100797429059 302392287177 380980113223 907176861531 1142940339669 3428821019007 22477826680157 67433480040471 202300440121413