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200101000020 = 22351719101102229
BaseRepresentation
bin1011101001011011110…
…0101111001101010100
3201010111101100000110220
42322112330233031110
511234301324000040
6231531454514340
720312455302465
oct2722674571524
9633441300426
10200101000020
1177953885a99
12329455059b0
1315b3c222bbc
149983692d6c
1553122752d0
hex2e96f2f354

200101000020 has 192 divisors, whose sum is σ = 630652780800. Its totient is φ = 47106662400.

The previous prime is 200101000013. The next prime is 200101000031. The reversal of 200101000020 is 20000101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 200100999972 and 200101000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1906266 + ... + 2008494.

It is an arithmetic number, because the mean of its divisors is an integer number (3284649900).

Almost surely, 2200101000020 is an apocalyptic number.

200101000020 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 200101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315326390400).

200101000020 is an abundant number, since it is smaller than the sum of its proper divisors (430551780780).

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

200101000020 is a wasteful number, since it uses less digits than its factorization.

200101000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102378 (or 102376 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200101000020 its reverse (20000101002), we get a palindrome (220101101022).

The spelling of 200101000020 in words is "two hundred billion, one hundred one million, twenty", and thus it is an aban number.