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1012011120020 = 225739203933581
BaseRepresentation
bin11101011101000001001…
…00000011010110010100
310120202011210110112122002
432232200210003112110
5113040044321320040
62052524514254432
7133054402405445
oct16564044032624
93522153415562
101012011120020
1136021199216a
12144174587418
1374580824954
1436da571b2cc
151b4d0e81a15
hexeba0903594

1012011120020 has 48 divisors (see below), whose sum is σ = 2129206262400. Its totient is φ = 404046380160.

The previous prime is 1012011120019. The next prime is 1012011120149. The reversal of 1012011120020 is 200211102101.

It is a junction number, because it is equal to n+sod(n) for n = 1012011119983 and 1012011120010.

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, 30119630 + ... + 30153210.

It is an arithmetic number, because the mean of its divisors is an integer number (44358463800).

Almost surely, 21012011120020 is an apocalyptic number.

1012011120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011120020 is an abundant number, since it is smaller than the sum of its proper divisors (1117195142380).

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

1012011120020 is a wasteful number, since it uses less digits than its factorization.

1012011120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36368 (or 36366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1012011120020 its reverse (200211102101), we get a palindrome (1212222222121).

It can be divided in two parts, 101201 and 1120020, that added together give a palindrome (1221221).

The spelling of 1012011120020 in words is "one trillion, twelve billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 739 1478 2039 2956 3695 4078 7390 8156 10195 14780 20390 33581 40780 67162 134324 167905 335810 671620 1506821 3013642 6027284 7534105 15068210 24816359 30136420 49632718 68471659 99265436 124081795 136943318 248163590 273886636 342358295 496327180 684716590 1369433180 50600556001 101201112002 202402224004 253002780005 506005560010 1012011120020