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211320013203 = 321323293118707
BaseRepresentation
bin1100010011001110100…
…1111000000110010011
3202012110020212221022200
43010303221320012103
511430240410410303
6241025025134243
721160464321645
oct3046351700623
9665406787280
10211320013203
1181690702712
1234b5678a383
1316c09630a40
14a329694895
15576c1773a3
hex3133a78193

211320013203 has 96 divisors (see below), whose sum is σ = 356022051840. Its totient is φ = 119699838720.

The previous prime is 211320013181. The next prime is 211320013217. The reversal of 211320013203 is 302310023112.

211320013203 is a `hidden beast` number, since 21 + 1 + 320 + 0 + 1 + 320 + 3 = 666.

It is not a de Polignac number, because 211320013203 - 28 = 211320012947 is a prime.

It is a super-2 number, since 2×2113200132032 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211320013243) 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, 24265776 + ... + 24274482.

It is an arithmetic number, because the mean of its divisors is an integer number (3708563040).

Almost surely, 2211320013203 is an apocalyptic number.

211320013203 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

211320013203 is a deficient number, since it is larger than the sum of its proper divisors (144702038637).

211320013203 is a wasteful number, since it uses less digits than its factorization.

211320013203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9089 (or 9086 counting only the distinct ones).

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

Adding to 211320013203 its reverse (302310023112), we get a palindrome (513630036315).

Subtracting 211320013203 from its reverse (302310023112), we obtain a palindrome (90990009909).

The spelling of 211320013203 in words is "two hundred eleven billion, three hundred twenty million, thirteen thousand, two hundred three".

Divisors: 1 3 9 13 23 29 39 69 87 117 207 261 299 311 377 667 897 933 1131 2001 2691 2799 3393 4043 6003 7153 8671 8707 9019 12129 21459 26013 26121 27057 36387 64377 78039 78363 81171 92989 113191 117247 200261 207437 252503 278967 339573 351741 600783 622311 757509 836901 1018719 1055223 1802349 1866933 2272527 2603393 2696681 2707877 3282539 5807569 7810179 8090043 8123631 9847617 17422707 23430537 24270129 24370893 29542851 35202401 52268121 62281171 75498397 78528433 105607203 186843513 226495191 235585299 316821609 560530539 679485573 706755897 809655223 1020869629 1806153959 2428965669 3062608887 5418461877 7286897007 9187826661 16255385631 23480001467 70440004401 211320013203