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100330243300413 = 32719765912267037
BaseRepresentation
bin10110110011111111110100…
…100000110001110000111101
3111011020110220011100101211100
4112303333310200301300331
5101122302314241103123
6553215024422443313
730063422646653250
oct2663776440616075
9434213804311740
10100330243300413
1129a718a9814725
12b30480b593539
1343ca141874a89
141aac01c813097
15b8ec47116643
hex5b3ff4831c3d

100330243300413 has 48 divisors (see below), whose sum is σ = 166717878687360. Its totient is φ = 56953983558528.

The previous prime is 100330243300327. The next prime is 100330243300519. The reversal of 100330243300413 is 314003342033001.

100330243300413 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 0 + 243 + 3 + 0 + 0 + 413 = 666.

It is not a de Polignac number, because 100330243300413 - 210 = 100330243299389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330243300213) 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, 2045331 + ... + 14312367.

It is an arithmetic number, because the mean of its divisors is an integer number (3473289139320).

Almost surely, 2100330243300413 is an apocalyptic number.

It is an amenable number.

100330243300413 is a deficient number, since it is larger than the sum of its proper divisors (66387635386947).

100330243300413 is a wasteful number, since it uses less digits than its factorization.

100330243300413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267906 (or 12267903 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100330243300413 its reverse (314003342033001), we get a palindrome (414333585333414).

The spelling of 100330243300413 in words is "one hundred trillion, three hundred thirty billion, two hundred forty-three million, three hundred thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 63 197 591 659 1379 1773 1977 4137 4613 5931 12411 13839 41517 129823 389469 908761 1168407 2726283 8178849 12267037 36801111 85869259 110403333 257607777 772823331 2416606289 7249818867 8083977383 16916244023 21749456601 24251932149 50748732069 56587841681 72755796447 152246196207 169763525043 509290575129 1592543544451 4777630633353 11147804811157 14332891900059 33443414433471 100330243300413