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21000101212200 = 233521124731286629
BaseRepresentation
bin1001100011001011101111…
…00100101011000000101000
32202100120221011100001011210
410301211313210223000220
510223031201402242300
6112355151401553120
74265131041042135
oct461456744530050
982316834301153
1021000101212200
116767102732180
122431b634a57a0
13b943bb528a46
145285a5ccd58c
152663da441050
hex13197792b028

21000101212200 has 192 divisors, whose sum is σ = 71047296878400. Its totient is φ = 5088871065600.

The previous prime is 21000101212177. The next prime is 21000101212229. The reversal of 21000101212200 is 221210100012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15678486 + ... + 16965114.

It is an arithmetic number, because the mean of its divisors is an integer number (370038004575).

Almost surely, 221000101212200 is an apocalyptic number.

21000101212200 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 21000101212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35523648439200).

21000101212200 is an abundant number, since it is smaller than the sum of its proper divisors (50047195666200).

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

21000101212200 is a wasteful number, since it uses less digits than its factorization.

21000101212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289132 (or 1289123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000101212200 its reverse (221210100012), we get a palindrome (21221311312212).

The spelling of 21000101212200 in words is "twenty-one trillion, one hundred one million, two hundred twelve thousand, two hundred".