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20210012000100 = 2232521317303733457
BaseRepresentation
bin1001001100001100000101…
…00101100000111101100100
32122120001120111002111022200
410212012002211200331210
510122110101033000400
6110552203520054500
74154060636410356
oct446060245407544
978501514074280
1020210012000100
11649202199a08a
122324a04164430
13b37a46932410
144dc253d070d6
15250a97288b00
hex126182960f64

20210012000100 has 432 divisors, whose sum is σ = 72258904540368. Its totient is φ = 4680456929280.

The previous prime is 20210012000093. The next prime is 20210012000111. The reversal of 20210012000100 is 100021001202.

It can be written as a sum of positive squares in 24 ways, for example, as 11390787000576 + 8819224999524 = 3375024^2 + 2969718^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 604042572 + ... + 604076028.

Almost surely, 220210012000100 is an apocalyptic number.

20210012000100 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 20210012000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36129452270184).

20210012000100 is an abundant number, since it is smaller than the sum of its proper divisors (52048892540268).

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

20210012000100 is a wasteful number, since it uses less digits than its factorization.

20210012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36544 (or 36534 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20210012000100 its reverse (100021001202), we get a palindrome (20310033001302).

The spelling of 20210012000100 in words is "twenty trillion, two hundred ten billion, twelve million, one hundred", and thus it is an aban number.