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20212110102000 = 2435337101901441
BaseRepresentation
bin1001001100001111111111…
…01001001000110111110000
32122120020222201001010001110
410212013333221020313300
510122123400141231000
6110553152025433320
74154163634110465
oct446077751106760
978506881033043
1020212110102000
1164929a92510a3
1223252aa93b840
13b37cbc50732b
144dc3b281b66c
15250b6b578850
hex1261ffa48df0

20212110102000 has 320 divisors, whose sum is σ = 67587726930048. Its totient is φ = 5192294400000.

The previous prime is 20212110101941. The next prime is 20212110102001. The reversal of 20212110102000 is 20101121202.

It is a super-3 number, since 3×202121101020003 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212110102001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21971280 + ... + 22872720.

Almost surely, 220212110102000 is an apocalyptic number.

20212110102000 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 20212110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33793863465024).

20212110102000 is an abundant number, since it is smaller than the sum of its proper divisors (47375616828048).

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

20212110102000 is a wasteful number, since it uses less digits than its factorization.

20212110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901605 (or 901589 counting only the distinct ones).

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

Adding to 20212110102000 its reverse (20101121202), we get a palindrome (20232211223202).

The spelling of 20212110102000 in words is "twenty trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand".