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20000113102200 = 23352711733159051
BaseRepresentation
bin1001000110000101000111…
…01000110000110101111000
32121210222210021021200201010
410203002203220300311320
510110140212423232300
6110311531454153520
74132650306253620
oct443024350606570
977728707250633
1020000113102200
116411000498430
1222b01a54b28a0
13b2100586410a
144d202129d880
1524a3aec77a50
hex1230a3a30d78

20000113102200 has 384 divisors, whose sum is σ = 77310991779840. Its totient is φ = 4155230400000.

The previous prime is 20000113102187. The next prime is 20000113102237. The reversal of 20000113102200 is 220131100002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 338662675 + ... + 338721725.

It is an arithmetic number, because the mean of its divisors is an integer number (201330707760).

Almost surely, 220000113102200 is an apocalyptic number.

20000113102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000113102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38655495889920).

20000113102200 is an abundant number, since it is smaller than the sum of its proper divisors (57310878677640).

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

20000113102200 is a wasteful number, since it uses less digits than its factorization.

20000113102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66419 (or 66410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20000113102200 its reverse (220131100002), we get a palindrome (20220244202202).

The spelling of 20000113102200 in words is "twenty trillion, one hundred thirteen million, one hundred two thousand, two hundred".