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1038101147000 = 23531038101147
BaseRepresentation
bin11110001101100111010…
…01100110110101111000
310200020112001110020100122
433012303221212311320
5114002012343201000
62112521434152412
7135000054105161
oct17066351466570
93606461406318
101038101147000
11370290041635
12149235b82708
1376b7ab29638
143835c768768
151c00b6ba085
hexf1b3a66d78

1038101147000 has 32 divisors (see below), whose sum is σ = 2429156686320. Its totient is φ = 415240458400.

The previous prime is 1038101146981. The next prime is 1038101147003. The reversal of 1038101147000 is 7411018301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038101147003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 519049574 + ... + 519051573.

Almost surely, 21038101147000 is an apocalyptic number.

1038101147000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038101147000 is an abundant number, since it is smaller than the sum of its proper divisors (1391055539320).

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

1038101147000 is a wasteful number, since it uses less digits than its factorization.

1038101147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038101168 (or 1038101154 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 1038101147000 in words is "one trillion, thirty-eight billion, one hundred one million, one hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1038101147 2076202294 4152404588 5190505735 8304809176 10381011470 20762022940 25952528675 41524045880 51905057350 103810114700 129762643375 207620229400 259525286750 519050573500 1038101147000