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200012342022220 = 2257132174112128561
BaseRepresentation
bin101101011110100100000000…
…100110001101000001001100
3222020011222211000022202012111
4231132210000212031001030
5202204000234024202340
61545220222413513404
760062262201630550
oct5536440046150114
9866158730282174
10200012342022220
1158803837840312
121a5238947a2864
13877b110245600
143756912c33860
15181cba786eaea
hexb5e90098d04c

200012342022220 has 288 divisors, whose sum is σ = 563795331313536. Its totient is φ = 58123940659200.

The previous prime is 200012342022217. The next prime is 200012342022223. The reversal of 200012342022220 is 22220243210002.

It is an interprime number because it is at equal distance from previous prime (200012342022217) and next prime (200012342022223).

It is a super-2 number, since 2×2000123420222202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200012342022191 and 200012342022200.

It is not an unprimeable number, because it can be changed into a prime (200012342022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10426740 + ... + 22555300.

It is an arithmetic number, because the mean of its divisors is an integer number (1957622678172).

Almost surely, 2200012342022220 is an apocalyptic number.

200012342022220 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 200012342022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281897665656768).

200012342022220 is an abundant number, since it is smaller than the sum of its proper divisors (363782989291316).

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

200012342022220 is a wasteful number, since it uses less digits than its factorization.

200012342022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128661 (or 12128646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 200012342022220 its reverse (22220243210002), we get a palindrome (222232585232222).

The spelling of 200012342022220 in words is "two hundred trillion, twelve billion, three hundred forty-two million, twenty-two thousand, two hundred twenty".