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101010104424 = 23322415821237
BaseRepresentation
bin101111000010010101…
…0111110000001101000
3100122201120022222000200
41132010222332001220
53123332041320144
6114223045032200
710204060502235
oct1360452760150
9318646288020
10101010104424
1139924630549
12176b00b5660
1396a9b76b78
144c6327c78c
152962c64c69
hex1784abe068

101010104424 has 48 divisors (see below), whose sum is σ = 274704221220. Its totient is φ = 33530319360.

The previous prime is 101010104423. The next prime is 101010104449. The reversal of 101010104424 is 424401010101.

It can be written as a sum of positive squares in 2 ways, for example, as 80355240900 + 20654863524 = 283470^2 + 143718^2 .

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 = 101010104397 and 101010104406.

It is not an unprimeable number, because it can be changed into a prime (101010104423) 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 11 ways as a sum of consecutive naturals, for example, 2893267 + ... + 2927970.

Almost surely, 2101010104424 is an apocalyptic number.

It is an amenable number.

101010104424 is an abundant number, since it is smaller than the sum of its proper divisors (173694116796).

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

101010104424 is a wasteful number, since it uses less digits than its factorization.

101010104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821490 (or 5821483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101010104424 its reverse (424401010101), we get a palindrome (525411114525).

The spelling of 101010104424 in words is "one hundred one billion, ten million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2892 4338 5784 8676 17352 5821237 11642474 17463711 23284948 34927422 46569896 52391133 69854844 104782266 139709688 209564532 419129064 1402918117 2805836234 4208754351 5611672468 8417508702 11223344936 12626263053 16835017404 25252526106 33670034808 50505052212 101010104424