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1000100200020 = 2235477313735461
BaseRepresentation
bin11101000110110101001…
…11011111111001010100
310112121102200222010001220
432203122213133321110
5112341201122400040
62043234550050340
7132153262303245
oct16433247377124
93477380863056
101000100200020
1135615a543729
121419ab6499b0
1373402c7c3ac
143659588accc
151b03545a2d0
hexe8da9dfe54

1000100200020 has 192 divisors, whose sum is σ = 2920280380416. Its totient is φ = 255557099520.

The previous prime is 1000100200013. The next prime is 1000100200049. The reversal of 1000100200020 is 200020010001.

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 = 1000100199981 and 1000100200008.

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, 28185090 + ... + 28220550.

It is an arithmetic number, because the mean of its divisors is an integer number (15209793648).

Almost surely, 21000100200020 is an apocalyptic number.

1000100200020 is a gapful number since it is divisible by the number (10) 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 1000100200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460140190208).

1000100200020 is an abundant number, since it is smaller than the sum of its proper divisors (1920180180396).

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

1000100200020 is a wasteful number, since it uses less digits than its factorization.

1000100200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35730 (or 35728 counting only the distinct ones).

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

Adding to 1000100200020 its reverse (200020010001), we get a palindrome (1200120210021).

The spelling of 1000100200020 in words is "one trillion, one hundred million, two hundred thousand, twenty".