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100501000000 = 2656100501
BaseRepresentation
bin101110110011001010…
…0111000111101000000
3100121102002100210001021
41131212110320331000
53121311224000000
6114100341115224
710155336255622
oct1354624707500
9317362323037
10100501000000
1139693215895
12175896b8b14
139628554a4b
144c157d6c12
1529331ee11a
hex1766538f40

100501000000 has 98 divisors (see below), whose sum is σ = 249288879374. Its totient is φ = 40200000000.

The previous prime is 100500999979. The next prime is 100501000001. The reversal of 100501000000 is 105001.

It can be written as a sum of positive squares in 7 ways, for example, as 95659066944 + 4841933056 = 309288^2 + 69584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100501000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 949750 + ... + 1050250.

Almost surely, 2100501000000 is an apocalyptic number.

100501000000 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 100501000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124644439687).

100501000000 is an abundant number, since it is smaller than the sum of its proper divisors (148787879374).

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

100501000000 is an frugal number, since it uses more digits than its factorization.

100501000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100543 (or 100508 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

Adding to 100501000000 its reverse (105001), we get a palindrome (100501105001).

The spelling of 100501000000 in words is "one hundred billion, five hundred one 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 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 100501 125000 200000 201002 250000 402004 500000 502505 804008 1000000 1005010 1608016 2010020 2512525 3216032 4020040 5025050 6432064 8040080 10050100 12562625 16080160 20100200 25125250 32160320 40200400 50250500 62813125 80400800 100501000 125626250 160801600 201002000 251252500 314065625 402004000 502505000 628131250 804008000 1005010000 1256262500 1570328125 2010020000 2512525000 3140656250 4020040000 5025050000 6281312500 10050100000 12562625000 20100200000 25125250000 50250500000 100501000000