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21010221000120 = 233511315916635233
BaseRepresentation
bin1001100011011110100101…
…10000100110010110111000
32202101120001102111112102210
410301233102300212112320
510223212413034000440
6112403543504055120
74265636601603042
oct461572260462670
982346042445383
1021010221000120
116770426023670
122433b086044a0
13b95341c97731
14528c85d14a92
152667cdab1a80
hex131bd2c265b8

21010221000120 has 512 divisors, whose sum is σ = 72239048294400. Its totient is φ = 4841701171200.

The previous prime is 21010221000107. The next prime is 21010221000191. The reversal of 21010221000120 is 2100012201012.

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

It is a junction number, because it is equal to n+sod(n) for n = 21010221000096 and 21010221000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4014945024 + ... + 4014950256.

It is an arithmetic number, because the mean of its divisors is an integer number (141091891200).

Almost surely, 221010221000120 is an apocalyptic number.

21010221000120 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 21010221000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36119524147200).

21010221000120 is an abundant number, since it is smaller than the sum of its proper divisors (51228827294280).

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

21010221000120 is a wasteful number, since it uses less digits than its factorization.

21010221000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7007 counting only the distinct ones).

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

Adding to 21010221000120 its reverse (2100012201012), we get a palindrome (23110233201132).

The spelling of 21010221000120 in words is "twenty-one trillion, ten billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.