Search a number
-
+
300032110110213 = 3213131521346910831
BaseRepresentation
bin100010000111000001010101…
…1010110000010011000000101
31110100022210022121210012021100
41010032002223112002120011
5303311211230142011323
62542040503143210313
7120124414246061535
oct10416025326023005
91410283277705240
10300032110110213
11876659a3377598
1229798296746999
13cb54ba29b7830
1454138bb1dd4c5
1524a47cc84a943
hex110e0ab582605

300032110110213 has 96 divisors (see below), whose sum is σ = 471361327557120. Its totient is φ = 182804439168000.

The previous prime is 300032110110211. The next prime is 300032110110217. The reversal of 300032110110213 is 312011011230003.

300032110110213 is a `hidden beast` number, since 30 + 0 + 0 + 321 + 101 + 1 + 0 + 213 = 666.

It is not a de Polignac number, because 300032110110213 - 21 = 300032110110211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300032110110211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27701232708 + ... + 27701243538.

It is an arithmetic number, because the mean of its divisors is an integer number (4910013828720).

Almost surely, 2300032110110213 is an apocalyptic number.

It is an amenable number.

300032110110213 is a deficient number, since it is larger than the sum of its proper divisors (171329217446907).

300032110110213 is a wasteful number, since it uses less digits than its factorization.

300032110110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14971 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 300032110110213 its reverse (312011011230003), we get a palindrome (612043121340216).

The spelling of 300032110110213 in words is "three hundred trillion, thirty-two billion, one hundred ten million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 131 393 521 1179 1563 1703 3469 4689 5109 6773 10407 10831 15327 20319 31221 32493 45097 60957 68251 97479 135291 140803 204753 405873 422409 454439 614259 887263 1267227 1363317 1418861 1807349 2661789 4089951 4256583 5422047 5642951 5907707 7985367 12769749 16266141 16928853 17723121 18445193 23495537 37572739 50786559 53169363 55335579 70486611 73358363 112718217 166006737 211459833 220075089 236762719 338154651 488445607 660225267 710288157 739226581 1465336821 2130864471 2217679743 3077915347 4396010463 4922028809 6653039229 9233746041 9609945553 14766086427 19575397019 27701238123 28829836659 44298259281 58726191057 63986374517 86489509977 176178573171 191959123551 254480161247 575877370653 763440483741 2290321451223 2564377009489 7693131028467 23079393085401 33336901123357 100010703370071 300032110110213