Search a number
-
+
10111000000 = 265610111
BaseRepresentation
bin10010110101010100…
…11001110111000000
3222002122122000111111
421122222121313000
5131201404000000
64351145453104
7505363040053
oct113252316700
928078560444
1010111000000
114319439a52
121b621a1194
13c519b2a4a
146bcbb8a9a
153e29d6cba
hex25aa99dc0

10111000000 has 98 divisors (see below), whose sum is σ = 25082178944. Its totient is φ = 4044000000.

The previous prime is 10110999931. The next prime is 10111000001. The reversal of 10111000000 is 11101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000001) 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, 994945 + ... + 1005055.

Almost surely, 210111000000 is an apocalyptic number.

10111000000 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 10111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541089472).

10111000000 is an abundant number, since it is smaller than the sum of its proper divisors (14971178944).

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

10111000000 is an frugal number, since it uses more digits than its factorization.

10111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10153 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10111000000 its reverse (11101), we get a palindrome (10111011101).

The spelling of 10111000000 in words is "ten billion, one hundred eleven 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 10111 12500 15625 20000 20222 25000 31250 40000 40444 50000 50555 62500 80888 100000 101110 125000 161776 200000 202220 250000 252775 323552 404440 500000 505550 647104 808880 1000000 1011100 1263875 1617760 2022200 2527750 3235520 4044400 5055500 6319375 8088800 10111000 12638750 16177600 20222000 25277500 31596875 40444000 50555000 63193750 80888000 101110000 126387500 157984375 202220000 252775000 315968750 404440000 505550000 631937500 1011100000 1263875000 2022200000 2527750000 5055500000 10111000000