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21155013330100 = 22521316273087177
BaseRepresentation
bin1001100111101100010010…
…00011100000010010110100
32202220101210020211000000221
410303312021003200102310
510233100431403030400
6112554251242144124
74312253644235626
oct463661103402264
982811706730027
1021155013330100
1168168775731a1
122457b971b2044
13ba5ba8676b30
14531c9dbc6c16
1526a4553b7c1a
hex133d890e04b4

21155013330100 has 36 divisors (see below), whose sum is σ = 49437638846764. Its totient is φ = 7811081844480.

The previous prime is 21155013330083. The next prime is 21155013330109. The reversal of 21155013330100 is 103331055112.

It can be written as a sum of positive squares in 6 ways, for example, as 106040107044 + 21048973223056 = 325638^2 + 4587916^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21155013330109) 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, 8136542289 + ... + 8136544888.

Almost surely, 221155013330100 is an apocalyptic number.

21155013330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21155013330100 is an abundant number, since it is smaller than the sum of its proper divisors (28282625516664).

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

21155013330100 is a wasteful number, since it uses less digits than its factorization.

21155013330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273087204 (or 16273087197 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 21155013330100 its reverse (103331055112), we get a palindrome (21258344385212).

The spelling of 21155013330100 in words is "twenty-one trillion, one hundred fifty-five billion, thirteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 16273087177 32546174354 65092348708 81365435885 162730871770 211550133301 325461743540 406827179425 423100266602 813654358850 846200533204 1057750666505 1627308717700 2115501333010 4231002666020 5288753332525 10577506665050 21155013330100