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2001101000120 = 235106394702277
BaseRepresentation
bin11101000111101010111…
…010100000110110111000
321002022012011120110012022
4131013222322200312320
5230241223324000440
64131143151134012
7264401101564655
oct35075272406670
97068164513168
102001101000120
11701731389542
122839b0814308
1311691a6a5331
146cbd4bacc2c
15370be9aecb5
hex1d1eaea0db8

2001101000120 has 32 divisors (see below), whose sum is σ = 4502901412800. Its totient is φ = 800364993408.

The previous prime is 2001101000113. The next prime is 2001101000137. The reversal of 2001101000120 is 210001011002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2001101000098 and 2001101000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1925579 + ... + 2776698.

It is an arithmetic number, because the mean of its divisors is an integer number (140715669150).

Almost surely, 22001101000120 is an apocalyptic number.

2001101000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101000120 is an abundant number, since it is smaller than the sum of its proper divisors (2501800412680).

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

2001101000120 is a wasteful number, since it uses less digits than its factorization.

2001101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712927 (or 4712923 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001101000120 its reverse (210001011002), we get a palindrome (2211102011122).

The spelling of 2001101000120 in words is "two trillion, one billion, one hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 10639 21278 42556 53195 85112 106390 212780 425560 4702277 9404554 18809108 23511385 37618216 47022770 94045540 188091080 50027525003 100055050006 200110100012 250137625015 400220200024 500275250030 1000550500060 2001101000120