Search a number
-
+
100443211020 = 22325558017839
BaseRepresentation
bin101110110001011100…
…0011100010100001100
3100121021001121210110200
41131202320130110030
53121201430223040
6114050514333500
710154035130625
oct1354270342414
9317231553420
10100443211020
11396636350a9
121757228a290
1396195a0299
144c0bc72a4c
15292d0d6630
hex1762e1c50c

100443211020 has 36 divisors (see below), whose sum is σ = 304677740640. Its totient is φ = 26784856224.

The previous prime is 100443210947. The next prime is 100443211049. The reversal of 100443211020 is 20112344001.

100443211020 is a `hidden beast` number, since 10 + 0 + 443 + 211 + 0 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100443210984 and 100443211002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 279008740 + ... + 279009099.

Almost surely, 2100443211020 is an apocalyptic number.

100443211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100443211020 is an abundant number, since it is smaller than the sum of its proper divisors (204234529620).

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

100443211020 is a wasteful number, since it uses less digits than its factorization.

100443211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558017854 (or 558017849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100443211020 its reverse (20112344001), we get a palindrome (120555555021).

The spelling of 100443211020 in words is "one hundred billion, four hundred forty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 558017839 1116035678 1674053517 2232071356 2790089195 3348107034 5022160551 5580178390 6696214068 8370267585 10044321102 11160356780 16740535170 20088642204 25110802755 33481070340 50221605510 100443211020