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213100103232 = 2634106338671
BaseRepresentation
bin1100011001110111000…
…0011000011001000000
3202101001022102212210000
43012131300120121000
511442412111300412
6241521414440000
721252550663542
oct3063560303100
9671038385700
10213100103232
11824144a86a5
1235372963000
131713136c653
14a457c67692
15582359b4dc
hex319dc18640

213100103232 has 140 divisors (see below), whose sum is σ = 632306071936. Its totient is φ = 70964709120.

The previous prime is 213100103231. The next prime is 213100103239. The reversal of 213100103232 is 232301001312.

213100103232 is a `hidden beast` number, since 21 + 310 + 0 + 10 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213100103231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5491257 + ... + 5529927.

Almost surely, 2213100103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213100103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316153035968).

213100103232 is an abundant number, since it is smaller than the sum of its proper divisors (419205968704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213100103232 is a wasteful number, since it uses less digits than its factorization.

213100103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39758 (or 39739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213100103232 its reverse (232301001312), we get a palindrome (445401104544).

The spelling of 213100103232 in words is "two hundred thirteen billion, one hundred million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1063 1296 1728 2126 2592 3189 4252 5184 6378 8504 9567 12756 17008 19134 25512 28701 34016 38268 38671 51024 57402 68032 76536 77342 86103 102048 114804 116013 153072 154684 172206 204096 229608 232026 306144 309368 344412 348039 459216 464052 612288 618736 688824 696078 918432 928104 1044117 1237472 1377648 1392156 1836864 1856208 2088234 2474944 2755296 2784312 3132351 3712416 4176468 5510592 5568624 6264702 7424832 8352936 11137248 12529404 16705872 22274496 25058808 33411744 41107273 50117616 66823488 82214546 100235232 123321819 164429092 200470464 246643638 328858184 369965457 493287276 657716368 739930914 986574552 1109896371 1315432736 1479861828 1973149104 2219792742 2630865472 2959723656 3329689113 3946298208 4439585484 5919447312 6659378226 7892596416 8879170968 11838894624 13318756452 17758341936 23677789248 26637512904 35516683872 53275025808 71033367744 106550051616 213100103232