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21000032300313 = 32112374713979777
BaseRepresentation
bin1001100011001011100110…
…11101110010110100011001
32202100120202100122221211200
410301211303131302310121
510223031031232102223
6112355140500544413
74265126243226633
oct461456335626431
982316670587750
1021000032300313
116767077844700
122431b443b2109
13b943aa17b591
1452859aab1a53
152663d437ca43
hex131973772d19

21000032300313 has 144 divisors (see below), whose sum is σ = 35223378328320. Its totient is φ = 12032492820480.

The previous prime is 21000032300311. The next prime is 21000032300321. The reversal of 21000032300313 is 31300323000012.

21000032300313 is a `hidden beast` number, since 21 + 0 + 0 + 0 + 0 + 32 + 300 + 313 = 666.

It is not a de Polignac number, because 21000032300313 - 21 = 21000032300311 is a prime.

It is a super-2 number, since 2×210000323003132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21000032300311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263194281 + ... + 263274057.

Almost surely, 221000032300313 is an apocalyptic number.

It is an amenable number.

21000032300313 is a deficient number, since it is larger than the sum of its proper divisors (14223346028007).

21000032300313 is a wasteful number, since it uses less digits than its factorization.

21000032300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80028 (or 80014 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21000032300313 its reverse (31300323000012), we get a palindrome (52300355300325).

The spelling of 21000032300313 in words is "twenty-one trillion, thirty-two million, three hundred thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 37 47 99 111 121 139 141 333 363 407 417 423 517 1089 1221 1251 1529 1551 1739 3663 4477 4587 4653 5143 5217 5687 6533 13431 13761 15429 15651 16819 17061 19129 19599 40293 46287 50457 51183 56573 57387 58797 71863 79777 151371 169719 172161 210419 215589 239331 241721 509157 622303 631257 646767 717993 725163 790493 877547 1866909 1893771 2175489 2371479 2632641 2658931 2951749 3749519 5600727 7114437 7897923 7976793 8855247 9653017 11089003 11248557 23930379 26565741 28959051 29248241 32469239 33267009 33745671 41244709 86877153 87744723 97407717 99801027 121979033 123734127 138732203 263234169 292223151 357161629 365937099 371202381 410293111 416196609 453691799 521183141 1071484887 1097811297 1230879333 1248589827 1341769363 1361075397 1526054233 1563549423 3214454661 3692637999 4025308089 4083226191 4513224221 4578162699 4690648269 5733014551 12075924267 13539672663 13734488097 16786596563 17199043653 19283776217 40619017989 49645466431 50359789689 51597130959 57851328651 63063160061 148936399293 151079369067 173553985953 189189480183 212121538387 446809197879 567568440549 636364615161 1909093845483 2333336922257 7000010766771 21000032300313