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213033131100 = 223252236703479
BaseRepresentation
bin1100011001100111000…
…0111001110001011100
3202100212122102100021200
43012121300321301130
511442242440143400
6241511023155500
721251105510526
oct3063160716134
9670778370250
10213033131100
118238a715529
1235354445b90
131712052107a
14a44cdd2a16
15581c76cb00
hex3199c39c5c

213033131100 has 54 divisors (see below), whose sum is σ = 667740517080. Its totient is φ = 56808834720.

The previous prime is 213033131099. The next prime is 213033131119. The reversal of 213033131100 is 1131330312.

It is a happy number.

213033131100 is a `hidden beast` number, since 21 + 3 + 0 + 331 + 311 + 0 + 0 = 666.

213033131100 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 2×2130331311002 (a number of 23 digits) contains 22 as substring.

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

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 17 ways as a sum of consecutive naturals, for example, 118350840 + ... + 118352639.

Almost surely, 2213033131100 is an apocalyptic number.

213033131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213033131100 is an abundant number, since it is smaller than the sum of its proper divisors (454707385980).

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

213033131100 is a wasteful number, since it uses less digits than its factorization.

213033131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236703499 (or 236703489 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213033131100 its reverse (1131330312), we get a palindrome (214164461412).

The spelling of 213033131100 in words is "two hundred thirteen billion, thirty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 236703479 473406958 710110437 946813916 1183517395 1420220874 2130331311 2367034790 2840441748 3550552185 4260662622 4734069580 5917586975 7101104370 8521325244 10651656555 11835173950 14202208740 17752760925 21303313110 23670347900 35505521850 42606626220 53258282775 71011043700 106516565550 213033131100