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20113121222100 = 22325222347912469
BaseRepresentation
bin1001001001010111100110…
…11100100001110111010100
32122012210110222222222211100
410210223303130201313110
510114013133013101400
6110435501302310100
74144060615366134
oct444536334416724
978183428888740
1020113121222100
116454a21644545
12230a083728330
13b2b87532940a
144d76a1ba0ac4
1524d2c5eba100
hex124af3721dd4

20113121222100 has 54 divisors (see below), whose sum is σ = 63043461077870. Its totient is φ = 5363498992320.

The previous prime is 20113121222071. The next prime is 20113121222143. The reversal of 20113121222100 is 122212131102.

20113121222100 is a `hidden beast` number, since 20 + 1 + 1 + 312 + 122 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 493023048336 + 19620098173764 = 702156^2 + 4429458^2 .

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 (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11173955335 + ... + 11173957134.

Almost surely, 220113121222100 is an apocalyptic number.

20113121222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20113121222100 is an abundant number, since it is smaller than the sum of its proper divisors (42930339855770).

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

20113121222100 is a wasteful number, since it uses less digits than its factorization.

20113121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22347912489 (or 22347912479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20113121222100 its reverse (122212131102), we get a palindrome (20235333353202).

The spelling of 20113121222100 in words is "twenty trillion, one hundred thirteen billion, one hundred twenty-one million, two hundred twenty-two 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 22347912469 44695824938 67043737407 89391649876 111739562345 134087474814 201131212221 223479124690 268174949628 335218687035 402262424442 446958249380 558697811725 670437374070 804524848884 1005656061105 1117395623450 1340874748140 1676093435175 2011312122210 2234791246900 3352186870350 4022624244420 5028280305525 6704373740700 10056560611050 20113121222100