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1012002100020 = 223358772136919
BaseRepresentation
bin11101011101000000000…
…01101001001100110100
310120202011011111021112000
432232200001221030310
5113040040014200040
62052523553055300
7133054232630202
oct16564001511464
93522134437460
101012002100020
1136020789131a
12144171557530
137457b9b7182
1436da4450072
151b4d029e130
hexeba0069334

1012002100020 has 96 divisors (see below), whose sum is σ = 3152042476800. Its totient is φ = 269559384192.

The previous prime is 1012002100019. The next prime is 1012002100027. The reversal of 1012002100020 is 200012002101.

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 = 1012002099975 and 1012002100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012002100027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 594880 + ... + 1542039.

It is an arithmetic number, because the mean of its divisors is an integer number (32833775800).

Almost surely, 21012002100020 is an apocalyptic number.

1012002100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002100020 is an abundant number, since it is smaller than the sum of its proper divisors (2140040376780).

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

1012002100020 is a wasteful number, since it uses less digits than its factorization.

1012002100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137814 (or 2137806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012002100020 its reverse (200012002101), we get a palindrome (1212014102121).

The spelling of 1012002100020 in words is "one trillion, twelve billion, two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 877 1754 2631 3508 4385 5262 7893 8770 10524 13155 15786 17540 23679 26310 31572 39465 47358 52620 78930 94716 118395 157860 236790 473580 2136919 4273838 6410757 8547676 10684595 12821514 19232271 21369190 25643028 32053785 38464542 42738380 57696813 64107570 76929084 96161355 115393626 128215140 192322710 230787252 288484065 384645420 576968130 1153936260 1874077963 3748155926 5622233889 7496311852 9370389815 11244467778 16866701667 18740779630 22488935556 28111169445 33733403334 37481559260 50600105001 56222338890 67466806668 84333508335 101200210002 112444677780 168667016670 202400420004 253000525005 337334033340 506001050010 1012002100020