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101425000000 = 26584057
BaseRepresentation
bin101111001110101100…
…1101010111001000000
3100200210111000211202111
41132131121222321000
53130204300000000
6114332145425104
710220256163312
oct1363531527100
9320714024674
10101425000000
113a01784a755
12177a703b194
139744b023cc
144ca23dd7b2
1529893bbcba
hex179d66ae40

101425000000 has 126 divisors (see below), whose sum is σ = 251643425846. Its totient is φ = 40560000000.

The previous prime is 101424999959. The next prime is 101425000067. The reversal of 101425000000 is 524101.

It can be written as a sum of positive squares in 9 ways, for example, as 33941429824 + 67483570176 = 184232^2 + 259776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24997972 + ... + 25002028.

Almost surely, 2101425000000 is an apocalyptic number.

101425000000 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 101425000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821712923).

101425000000 is an abundant number, since it is smaller than the sum of its proper divisors (150218425846).

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

101425000000 is an frugal number, since it uses more digits than its factorization.

101425000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 101425000000 its reverse (524101), we get a palindrome (101425524101).

The spelling of 101425000000 in words is "one hundred one billion, four hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 4057 5000 6250 8000 8114 10000 12500 15625 16228 20000 20285 25000 31250 32456 40000 40570 50000 62500 64912 78125 81140 100000 101425 125000 129824 156250 162280 200000 202850 250000 259648 312500 324560 390625 405700 500000 507125 625000 649120 781250 811400 1000000 1014250 1250000 1298240 1562500 1622800 2028500 2500000 2535625 3125000 3245600 4057000 5000000 5071250 6250000 6491200 8114000 10142500 12500000 12678125 16228000 20285000 25000000 25356250 32456000 40570000 50712500 63390625 81140000 101425000 126781250 162280000 202850000 253562500 316953125 405700000 507125000 633906250 811400000 1014250000 1267812500 1584765625 2028500000 2535625000 3169531250 4057000000 5071250000 6339062500 10142500000 12678125000 20285000000 25356250000 50712500000 101425000000