Search a number
-
+
100033001220 = 22354817346111
BaseRepresentation
bin101110100101001101…
…1100111011100000100
3100120012110201222102010
41131022123213130010
53114331422014340
6113542102214220
710140624323655
oct1351233473404
9316173658363
10100033001220
1139473026439
1217478a24370
1395825c57a9
144bad5b152c
1529070a7b80
hex174a6e7704

100033001220 has 48 divisors (see below), whose sum is σ = 280151359488. Its totient is φ = 26669852160.

The previous prime is 100033001209. The next prime is 100033001267. The reversal of 100033001220 is 22100330001.

It is a happy number.

100033001220 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100033001196 and 100033001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115965 + ... + 462075.

It is an arithmetic number, because the mean of its divisors is an integer number (5836486656).

Almost surely, 2100033001220 is an apocalyptic number.

100033001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100033001220 is an abundant number, since it is smaller than the sum of its proper divisors (180118358268).

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

100033001220 is a wasteful number, since it uses less digits than its factorization.

100033001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350940 (or 350938 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100033001220 its reverse (22100330001), we get a palindrome (122133331221).

The spelling of 100033001220 in words is "one hundred billion, thirty-three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4817 9634 14451 19268 24085 28902 48170 57804 72255 96340 144510 289020 346111 692222 1038333 1384444 1730555 2076666 3461110 4153332 5191665 6922220 10383330 20766660 1667216687 3334433374 5001650061 6668866748 8336083435 10003300122 16672166870 20006600244 25008250305 33344333740 50016500610 100033001220