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2000021311332 = 22321137616413491
BaseRepresentation
bin11101000110101010100…
…011110100111101100100
321002012101220221120121200
4131012222203310331210
5230232020423430312
64130444101442500
7264332251435152
oct35065243647544
97065356846550
102000021311332
11701227987360
1228374b110430
131167a7ab6625
146cb3163a3d2
1537059cdc0dc
hex1d1aa8f4f64

2000021311332 has 288 divisors, whose sum is σ = 5767760089728. Its totient is φ = 578949120000.

The previous prime is 2000021311331. The next prime is 2000021311357. The reversal of 2000021311332 is 2331131200002.

2000021311332 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 21 + 311 + 332 = 666.

It is a super-2 number, since 2×20000213113322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000021311331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572906107 + ... + 572909597.

It is an arithmetic number, because the mean of its divisors is an integer number (20026944756).

Almost surely, 22000021311332 is an apocalyptic number.

2000021311332 is a gapful number since it is divisible by the number (22) 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 2000021311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883880044864).

2000021311332 is an abundant number, since it is smaller than the sum of its proper divisors (3767738778396).

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

2000021311332 is a wasteful number, since it uses less digits than its factorization.

2000021311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2000021311332 its reverse (2331131200002), we get a palindrome (4331152511334).

The spelling of 2000021311332 in words is "two trillion, twenty-one million, three hundred eleven thousand, three hundred thirty-two".