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100032500000 = 255740013
BaseRepresentation
bin101110100101001100…
…1101101000100100000
3100120012102210111212102
41131022121231010200
53114331310000000
6113542043345532
710140620135456
oct1351231550440
9316172714772
10100032500000
1139472813904
12174788222a8
13958247b604
144bad4c09d6
1529070093d5
hex174a66d120

100032500000 has 96 divisors (see below), whose sum is σ = 246179252592. Its totient is φ = 40012000000.

The previous prime is 100032499981. The next prime is 100032500003. The reversal of 100032500000 is 5230001.

It can be written as a sum of positive squares in 8 ways, for example, as 93736394896 + 6296105104 = 306164^2 + 79348^2 .

It is not an unprimeable number, because it can be changed into a prime (100032500003) 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, 2479994 + ... + 2520006.

Almost surely, 2100032500000 is an apocalyptic number.

100032500000 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 100032500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123089626296).

100032500000 is an abundant number, since it is smaller than the sum of its proper divisors (146146752592).

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

100032500000 is an frugal number, since it uses more digits than its factorization.

100032500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40058 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

Adding to 100032500000 its reverse (5230001), we get a palindrome (100037730001).

The spelling of 100032500000 in words is "one hundred billion, thirty-two million, five 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 15625 20000 25000 31250 40013 50000 62500 78125 80026 100000 125000 156250 160052 200065 250000 312500 320104 400130 500000 625000 640208 800260 1000325 1250000 1280416 1600520 2000650 2500000 3201040 4001300 5001625 6402080 8002600 10003250 16005200 20006500 25008125 32010400 40013000 50016250 80026000 100032500 125040625 160052000 200065000 250081250 400130000 500162500 625203125 800260000 1000325000 1250406250 2000650000 2500812500 3126015625 4001300000 5001625000 6252031250 10003250000 12504062500 20006500000 25008125000 50016250000 100032500000