Search a number
-
+
10114421000 = 235321374733
BaseRepresentation
bin10010110101101110…
…11101000100001000
3222002220001211020012
421122313131010020
5131203242433000
64351351051052
7505434105605
oct113267350410
928086054205
1010114421000
114320366222
121b63370a88
13c5260cbc8
146bd4296ac
153e2e60735
hex25addd108

10114421000 has 64 divisors (see below), whose sum is σ = 23683823280. Its totient is φ = 4043020800.

The previous prime is 10114420991. The next prime is 10114421011. The reversal of 10114421000 is 12441101.

It can be written as a sum of positive squares in 8 ways, for example, as 776291044 + 9338129956 = 27862^2 + 96634^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134634 + ... + 2139366.

Almost surely, 210114421000 is an apocalyptic number.

10114421000 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 10114421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841911640).

10114421000 is an abundant number, since it is smaller than the sum of its proper divisors (13569402280).

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

10114421000 is a wasteful number, since it uses less digits than its factorization.

10114421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10114421000 its reverse (12441101), we get a palindrome (10126862101).

The spelling of 10114421000 in words is "ten billion, one hundred fourteen million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2137 4274 4733 8548 9466 10685 17096 18932 21370 23665 37864 42740 47330 53425 85480 94660 106850 118325 189320 213700 236650 267125 427400 473300 534250 591625 946600 1068500 1183250 2137000 2366500 4733000 10114421 20228842 40457684 50572105 80915368 101144210 202288420 252860525 404576840 505721050 1011442100 1264302625 2022884200 2528605250 5057210500 10114421000