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2000012021020 = 22513198931114627
BaseRepresentation
bin11101000110101010000…
…000011000110100011100
321002012101021110120201001
4131012222000120310130
5230232011034133040
64130443130400044
7264332106452536
oct35065200306434
97065337416631
102000012021020
11701222711412
12283747b90024
131167a5bb2ac0
146cb302dc856
15370590a459a
hex1d1aa018d1c

2000012021020 has 192 divisors, whose sum is σ = 4830469862400. Its totient is φ = 689467299840.

The previous prime is 2000012021003. The next prime is 2000012021023. The reversal of 2000012021020 is 201202100002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2000012020988 and 2000012021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000012021023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136726947 + ... + 136741573.

It is an arithmetic number, because the mean of its divisors is an integer number (25158697200).

Almost surely, 22000012021020 is an apocalyptic number.

2000012021020 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 2000012021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415234931200).

2000012021020 is an abundant number, since it is smaller than the sum of its proper divisors (2830457841380).

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

2000012021020 is a wasteful number, since it uses less digits than its factorization.

2000012021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068 (or 15066 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000012021020 its reverse (201202100002), we get a palindrome (2201214121022).

The spelling of 2000012021020 in words is "two trillion, twelve million, twenty-one thousand, twenty".