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101050100000 = 25551010501
BaseRepresentation
bin101111000011100001…
…1100010100100100000
3100122211100120221122022
41132013003202210200
53123422311200000
6114231034201012
710205054451353
oct1360703424440
9318740527568
10101050100000
1139945168843
1217701583168
1396b523b6a5
144c686d029a
152966515585
hex17870e2920

101050100000 has 72 divisors (see below), whose sum is σ = 248662311156. Its totient is φ = 40420000000.

The previous prime is 101050099999. The next prime is 101050100017. The reversal of 101050100000 is 1050101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33551981584 + 67498118416 = 183172^2 + 259804^2 .

It is a super-2 number, since 2×1010501000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405251 + ... + 605250.

Almost surely, 2101050100000 is an apocalyptic number.

101050100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101050100000 is an abundant number, since it is smaller than the sum of its proper divisors (147612211156).

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

101050100000 is an frugal number, since it uses more digits than its factorization.

101050100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010536 (or 1010508 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 101050100000 its reverse (1050101), we get a palindrome (101051150101).

The spelling of 101050100000 in words is "one hundred one billion, fifty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 1010501 2021002 4042004 5052505 8084008 10105010 16168016 20210020 25262525 32336032 40420040 50525050 80840080 101050100 126312625 161680160 202100200 252625250 404200400 505250500 631563125 808400800 1010501000 1263126250 2021002000 2526252500 3157815625 4042004000 5052505000 6315631250 10105010000 12631262500 20210020000 25262525000 50525050000 101050100000