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2111011000020 = 223251347128914891
BaseRepresentation
bin11110101110000010000…
…011111000111011010100
321110210212222121221122100
4132232002003320323110
5234041322304000040
64253441324002100
7305341551302316
oct36560203707324
97423788557570
102111011000020
117443027481aa
122a1165390330
131240b5350230
14742600457b6
1539da3c2ab30
hex1eb820f8ed4

2111011000020 has 288 divisors, whose sum is σ = 7048629020160. Its totient is φ = 508148766720.

The previous prime is 2111011000013. The next prime is 2111011000027. The reversal of 2111011000020 is 200001101112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2111011000013) and next prime (2111011000027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2111010999966 and 2111011000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111011000027) 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, 141756775 + ... + 141771665.

It is an arithmetic number, because the mean of its divisors is an integer number (24474406320).

Almost surely, 22111011000020 is an apocalyptic number.

2111011000020 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 2111011000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524314510080).

2111011000020 is an abundant number, since it is smaller than the sum of its proper divisors (4937618020140).

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

2111011000020 is a wasteful number, since it uses less digits than its factorization.

2111011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16255 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2111011000020 its reverse (200001101112), we get a palindrome (2311012101132).

It can be divided in two parts, 211101 and 1000020, that added together give a palindrome (1211121).

The spelling of 2111011000020 in words is "two trillion, one hundred eleven billion, eleven million, twenty", and thus it is an aban number.