Search a number
-
+
100404242432 = 211133771193
BaseRepresentation
bin101110110000010001…
…1110010100000000000
3100121011100021222121122
41131200203302200000
53121111441224212
6114043003211412
710153052656604
oct1354043624000
9317140258548
10100404242432
113964363945a
1217561216b68
1396114a8050
144c06a0b504
15292998a272
hex17608f2800

100404242432 has 48 divisors (see below), whose sum is σ = 216202552020. Its totient is φ = 46340407296.

The previous prime is 100404242431. The next prime is 100404242441. The reversal of 100404242432 is 234242404001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98887607296 + 1516635136 = 314464^2 + 38944^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (100404242431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1858973 + ... + 1912220.

Almost surely, 2100404242432 is an apocalyptic number.

It is an amenable number.

100404242432 is an abundant number, since it is smaller than the sum of its proper divisors (115798309588).

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

100404242432 is an equidigital number, since it uses as much as digits as its factorization.

100404242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771228 (or 3771208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 100404242432 its reverse (234242404001), we get a palindrome (334646646433).

The spelling of 100404242432 in words is "one hundred billion, four hundred four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 26624 3771193 7542386 15084772 30169544 49025509 60339088 98051018 120678176 196102036 241356352 392204072 482712704 784408144 965425408 1568816288 1930850816 3137632576 3861701632 6275265152 7723403264 12550530304 25101060608 50202121216 100404242432