Search a number
-
+
100061060000 = 255411454823
BaseRepresentation
bin101110100110000011…
…0101001101110100000
3100120021102112111211012
41131030012221232200
53114411112410000
6113544543440052
710141414655666
oct1351406515640
9316242474735
10100061060000
1139487950410
12174862b6028
13958836b015
144bb31d6c36
15290979b735
hex174c1a9ba0

100061060000 has 120 divisors (see below), whose sum is σ = 268544463264. Its totient is φ = 36385760000.

The previous prime is 100061059993. The next prime is 100061060009. The reversal of 100061060000 is 60160001.

It is not an unprimeable number, because it can be changed into a prime (100061060009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7412 + ... + 447411.

Almost surely, 2100061060000 is an apocalyptic number.

100061060000 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 100061060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134272231632).

100061060000 is an abundant number, since it is smaller than the sum of its proper divisors (168483403264).

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

100061060000 is an equidigital number, since it uses as much as digits as its factorization.

100061060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454864 (or 454841 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The spelling of 100061060000 in words is "one hundred billion, sixty-one million, sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 454823 909646 1819292 2274115 3638584 4548230 5003053 7277168 9096460 10006106 11370575 14554336 18192920 20012212 22741150 25015265 36385840 40024424 45482300 50030530 56852875 72771680 80048848 90964600 100061060 113705750 125076325 160097696 181929200 200122120 227411500 250152650 284264375 363858400 400244240 454823000 500305300 568528750 625381625 800488480 909646000 1000610600 1137057500 1250763250 1819292000 2001221200 2274115000 2501526500 3126908125 4002442400 4548230000 5003053000 6253816250 9096460000 10006106000 12507632500 20012212000 25015265000 50030530000 100061060000