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10103711000 = 235373138407
BaseRepresentation
bin10010110100011101…
…00110010100011000
3222002010220200212112
421122032212110120
5131143022223000
64350325331452
7505244061245
oct113216462430
928063820775
1010103711000
114315310689
121b5b866b88
13c50330126
146bbc3c5cc
153e2047235
hex25a3a6518

10103711000 has 64 divisors (see below), whose sum is σ = 23966729280. Its totient is φ = 3986092800.

The previous prime is 10103710999. The next prime is 10103711003. The reversal of 10103711000 is 11730101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103711003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3797 + ... + 142203.

It is an arithmetic number, because the mean of its divisors is an integer number (374480145).

Almost surely, 210103711000 is an apocalyptic number.

10103711000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983364640).

10103711000 is an abundant number, since it is smaller than the sum of its proper divisors (13863018280).

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

10103711000 is a wasteful number, since it uses less digits than its factorization.

10103711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138501 (or 138487 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 14.

The spelling of 10103711000 in words is "ten billion, one hundred three million, seven hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 73000 138407 276814 553628 692035 1107256 1384070 2768140 3460175 5536280 6920350 10103711 13840700 17300875 20207422 27681400 34601750 40414844 50518555 69203500 80829688 101037110 138407000 202074220 252592775 404148440 505185550 1010371100 1262963875 2020742200 2525927750 5051855500 10103711000