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21113032400 = 2452291820089
BaseRepresentation
bin10011101010011011…
…110100111011010000
32000111101220011122222
4103222123310323100
5321214414014100
613411005320212
71345125546215
oct235233647320
960441804588
1021113032400
118a54835809
124112866068
131cb616c4a5
141044057b0c
15838828485
hex4ea6f4ed0

21113032400 has 60 divisors (see below), whose sum is σ = 52473194700. Its totient is φ = 8153994240.

The previous prime is 21113032399. The next prime is 21113032403. The reversal of 21113032400 is 423031112.

It can be written as a sum of positive squares in 6 ways, for example, as 4003345984 + 17109686416 = 63272^2 + 130804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113032403) by changing a digit.

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, 898445 + ... + 921644.

It is an arithmetic number, because the mean of its divisors is an integer number (874553245).

Almost surely, 221113032400 is an apocalyptic number.

21113032400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113032400 is an abundant number, since it is smaller than the sum of its proper divisors (31360162300).

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

21113032400 is a wasteful number, since it uses less digits than its factorization.

21113032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820136 (or 1820125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21113032400 its reverse (423031112), we get a palindrome (21536063512).

The spelling of 21113032400 in words is "twenty-one billion, one hundred thirteen million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 1820089 3640178 7280356 9100445 14560712 18200890 29121424 36401780 45502225 52782581 72803560 91004450 105565162 145607120 182008900 211130324 263912905 364017800 422260648 527825810 728035600 844521296 1055651620 1319564525 2111303240 2639129050 4222606480 5278258100 10556516200 21113032400