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213033211020 = 223257169073977
BaseRepresentation
bin1100011001100111000…
…1001101010010001100
3202100212122120101220200
43012121301031102030
511442243000223040
6241511025013500
721251106262530
oct3063161152214
9670778511820
10213033211020
118238a76a583
1235354484290
131712054b566
14a44d013bc0
15581c786630
hex3199c4d48c

213033211020 has 72 divisors (see below), whose sum is σ = 738515135904. Its totient is φ = 48693305088.

The previous prime is 213033211009. The next prime is 213033211021. The reversal of 213033211020 is 20112330312.

213033211020 is a `hidden beast` number, since 21 + 303 + 321 + 1 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213033210984 and 213033211002.

It is not an unprimeable number, because it can be changed into a prime (213033211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84535729 + ... + 84538248.

Almost surely, 2213033211020 is an apocalyptic number.

213033211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213033211020 is an abundant number, since it is smaller than the sum of its proper divisors (525481924884).

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

213033211020 is a wasteful number, since it uses less digits than its factorization.

213033211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169073999 (or 169073994 counting only the distinct ones).

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

Adding to 213033211020 its reverse (20112330312), we get a palindrome (233145541332).

It can be divided in two parts, 21303 and 3211020, that added together give a palindrome (3232323).

The spelling of 213033211020 in words is "two hundred thirteen billion, thirty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 169073977 338147954 507221931 676295908 845369885 1014443862 1183517839 1521665793 1690739770 2028887724 2367035678 2536109655 3043331586 3381479540 3550553517 4734071356 5072219310 5917589195 6086663172 7101107034 7608328965 10144438620 10651660551 11835178390 14202214068 15216657930 17752767585 21303321102 23670356780 30433315860 35505535170 42606642204 53258302755 71011070340 106516605510 213033211020