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2010012400020 = 2235375915345949
BaseRepresentation
bin11101001111111110000…
…100110011100110010100
321010011012012221110201110
4131033332010303212110
5230413001133300040
64135215325255020
7265134660333462
oct35177604634624
97104165843643
102010012400020
11705494665149
12285679104470
1311770a9a3921
146d3dc51d832
1537441ed9980
hex1d3fe133994

2010012400020 has 96 divisors (see below), whose sum is σ = 5878112688000. Its totient is φ = 512677430784.

The previous prime is 2010012400009. The next prime is 2010012400037. The reversal of 2010012400020 is 200042100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010012399969 and 2010012400005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7541995 + ... + 7803954.

It is an arithmetic number, because the mean of its divisors is an integer number (61230340500).

Almost surely, 22010012400020 is an apocalyptic number.

2010012400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010012400020 is an abundant number, since it is smaller than the sum of its proper divisors (3868100287980).

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

2010012400020 is a wasteful number, since it uses less digits than its factorization.

2010012400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346057 (or 15346055 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2010012400020 its reverse (200042100102), we get a palindrome (2210054500122).

The spelling of 2010012400020 in words is "two trillion, ten billion, twelve million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 295 354 370 444 555 590 708 740 885 1110 1180 1770 2183 2220 3540 4366 6549 8732 10915 13098 21830 26196 32745 43660 65490 130980 15345949 30691898 46037847 61383796 76729745 92075694 153459490 184151388 230189235 306918980 460378470 567800113 905410991 920756940 1135600226 1703400339 1810821982 2271200452 2716232973 2839000565 3406800678 3621643964 4527054955 5432465946 5678001130 6813601356 8517001695 9054109910 10864931892 11356002260 13581164865 17034003390 18108219820 27162329730 33500206667 34068006780 54324659460 67000413334 100500620001 134000826668 167501033335 201001240002 335002066670 402002480004 502503100005 670004133340 1005006200010 2010012400020