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1031011200020 = 225409889314173
BaseRepresentation
bin11110000000011010000…
…11100110110000010100
310122120012221110121111202
433000031003212300110
5113343002331400040
62105350124052032
7134326263413624
oct17001503466024
93576187417452
101031011200020
11368281a4251a
12147997694018
13762bacbc939
1437c88cb6884
151bc44035015
hexf00d0e6c14

1031011200020 has 48 divisors (see below), whose sum is σ = 2170814434320. Its totient is φ = 411320871936.

The previous prime is 1031011200019. The next prime is 1031011200031. The reversal of 1031011200020 is 200021101301.

It can be written as a sum of positive squares in 8 ways, for example, as 31455150736 + 999556049284 = 177356^2 + 999778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1031011199974 and 1031011200010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72737654 + ... + 72751826.

It is an arithmetic number, because the mean of its divisors is an integer number (45225300715).

Almost surely, 21031011200020 is an apocalyptic number.

1031011200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031011200020 is an abundant number, since it is smaller than the sum of its proper divisors (1139803234300).

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

1031011200020 is a wasteful number, since it uses less digits than its factorization.

1031011200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23484 (or 23482 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1031011200020 its reverse (200021101301), we get a palindrome (1231032301321).

The spelling of 1031011200020 in words is "one trillion, thirty-one billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 8893 14173 17786 28346 35572 44465 56692 70865 88930 141730 177860 283460 3637237 5796757 7274474 11593514 14548948 18186185 23187028 28983785 36372370 57967570 72744740 115935140 126040489 252080978 504161956 630202445 1260404890 2520809780 51550560001 103101120002 206202240004 257752800005 515505600010 1031011200020