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211301003100 = 223521164030607
BaseRepresentation
bin1100010011001010000…
…1010110111101011100
3202012101221010010100210
43010302201112331130
511430221024044400
6241023105452420
721160143614625
oct3046241267534
9665357103323
10211301003100
11816809a9090
1234b50341110
1316c05706065
14a326d46a4c
15576a66e950
hex3132856f5c

211301003100 has 72 divisors (see below), whose sum is σ = 666942812928. Its totient is φ = 51224484800.

The previous prime is 211301003099. The next prime is 211301003119. The reversal of 211301003100 is 1300103112.

211301003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113010031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32012004 + ... + 32018603.

It is an arithmetic number, because the mean of its divisors is an integer number (9263094624).

Almost surely, 2211301003100 is an apocalyptic number.

211301003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211301003100 is an abundant number, since it is smaller than the sum of its proper divisors (455641809828).

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

211301003100 is a wasteful number, since it uses less digits than its factorization.

211301003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64030635 (or 64030628 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 211301003100 its reverse (1300103112), we get a palindrome (212601106212).

The spelling of 211301003100 in words is "two hundred eleven billion, three hundred one million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 64030607 128061214 192091821 256122428 320153035 384183642 640306070 704336677 768367284 960459105 1280612140 1408673354 1600765175 1920918210 2113010031 2817346708 3201530350 3521683385 3841836420 4226020062 4802295525 6403060700 7043366770 8452040124 9604591050 10565050155 14086733540 17608416925 19209182100 21130100310 35216833850 42260200620 52825250775 70433667700 105650501550 211301003100