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1001011112020 = 225127800949207
BaseRepresentation
bin11101001000100001110…
…10010110100001010100
310112200210012000020102101
432210100322112201110
5112400032321041040
62043505210051444
7132214663030333
oct16442072264124
93480705006371
101001011112020
11356587749367
12142004719b84
13735198c678a
1436640847d1a
151b08a3e009a
hexe910e96854

1001011112020 has 48 divisors (see below), whose sum is σ = 2118983086080. Its totient is φ = 397193981184.

The previous prime is 1001011111993. The next prime is 1001011112033. The reversal of 1001011112020 is 202111101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001011111988 and 1001011112006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20318257 + ... + 20367463.

It is an arithmetic number, because the mean of its divisors is an integer number (44145480960).

Almost surely, 21001011112020 is an apocalyptic number.

1001011112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001011112020 is an abundant number, since it is smaller than the sum of its proper divisors (1117971974060).

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

1001011112020 is a wasteful number, since it uses less digits than its factorization.

1001011112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57352 (or 57350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001011112020 its reverse (202111101001), we get a palindrome (1203122213021).

It can be divided in two parts, 100101 and 1112020, that added together give a palindrome (1212121).

The spelling of 1001011112020 in words is "one trillion, one billion, eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 8009 16018 32036 40045 49207 80090 98414 160180 196828 246035 492070 984140 1017143 2034286 4068572 5085715 6249289 10171430 12498578 20342860 24997156 31246445 62492890 124985780 394098863 788197726 1576395452 1970494315 3940988630 7881977260 50050555601 100101111202 200202222404 250252778005 500505556010 1001011112020