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100404384228 = 22324096819097
BaseRepresentation
bin101110110000010010…
…0010101000111100100
3100121011100120012010100
41131200210111013210
53121112010243403
6114043010224100
710153054120161
oct1354044250744
9317140505110
10100404384228
1139643725a45
1217561285030
139611527755
144c06a47068
1529299b72a3
hex17609151e4

100404384228 has 36 divisors (see below), whose sum is σ = 254420546380. Its totient is φ = 33386294016.

The previous prime is 100404384209. The next prime is 100404384257. The reversal of 100404384228 is 822483404001.

100404384228 is a `hidden beast` number, since 10 + 0 + 40 + 4 + 384 + 228 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82450528164 + 17953856064 = 287142^2 + 133992^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 100404384192 and 100404384201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3394825 + ... + 3424272.

Almost surely, 2100404384228 is an apocalyptic number.

100404384228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100404384228 is an abundant number, since it is smaller than the sum of its proper divisors (154016162152).

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

100404384228 is a wasteful number, since it uses less digits than its factorization.

100404384228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819516 (or 6819511 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 100404384228 its reverse (822483404001), we get a palindrome (922887788229).

The spelling of 100404384228 in words is "one hundred billion, four hundred four million, three hundred eighty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 409 818 1227 1636 2454 3681 4908 7362 14724 6819097 13638194 20457291 27276388 40914582 61371873 81829164 122743746 245487492 2789010673 5578021346 8367032019 11156042692 16734064038 25101096057 33468128076 50202192114 100404384228