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213240133100 = 225219112231649
BaseRepresentation
bin1100011010011000011…
…0100011010111101100
3202101102001221010122102
43012212012203113230
511443203433224400
6241543340034232
721256201140101
oct3064606432754
9671361833572
10213240133100
1182486550165
12353b1832978
131715438a467
14a46c6b8aa8
155830a0b9d5
hex31a61a35ec

213240133100 has 36 divisors (see below), whose sum is σ = 487085361000. Its totient is φ = 80806786560.

The previous prime is 213240133031. The next prime is 213240133111. The reversal of 213240133100 is 1331042312.

213240133100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132401331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 56113925 + ... + 56117724.

Almost surely, 2213240133100 is an apocalyptic number.

213240133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213240133100 is an abundant number, since it is smaller than the sum of its proper divisors (273845227900).

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

213240133100 is a wasteful number, since it uses less digits than its factorization.

213240133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112231682 (or 112231675 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213240133100 its reverse (1331042312), we get a palindrome (214571175412).

The spelling of 213240133100 in words is "two hundred thirteen billion, two hundred forty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 112231649 224463298 448926596 561158245 1122316490 2132401331 2244632980 2805791225 4264802662 5611582450 8529605324 10662006655 11223164900 21324013310 42648026620 53310033275 106620066550 213240133100