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20011011001020 = 223251331149156003
BaseRepresentation
bin1001000110011001011010…
…01100111100101010111100
32121212000220202121022110100
410203030231030330222330
510110330022304013040
6110320533114041100
74133514336003444
oct443145514745274
977760822538410
1020011011001020
11641569302a086
1222b2327119190
13b22051590760
144d2776793124
1524a7eb899b30
hex12332d33cabc

20011011001020 has 288 divisors, whose sum is σ = 65714229794304. Its totient is φ = 4899861388800.

The previous prime is 20011011001001. The next prime is 20011011001027. The reversal of 20011011001020 is 2010011011002.

It is a happy number.

It is a super-2 number, since 2×200110110010202 (a number of 27 digits) contains 22 as substring.

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 = 20011011000993 and 20011011001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011011001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357292339 + ... + 357348341.

It is an arithmetic number, because the mean of its divisors is an integer number (228174409008).

Almost surely, 220011011001020 is an apocalyptic number.

20011011001020 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 20011011001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32857114897152).

20011011001020 is an abundant number, since it is smaller than the sum of its proper divisors (45703218793284).

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

20011011001020 is a wasteful number, since it uses less digits than its factorization.

20011011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56833 (or 56828 counting only the distinct ones).

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

Adding to 20011011001020 its reverse (2010011011002), we get a palindrome (22021022012022).

The spelling of 20011011001020 in words is "twenty trillion, eleven billion, eleven million, one thousand, twenty".