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100404223024 = 2472318634787
BaseRepresentation
bin101110110000010001…
…1101101110000110000
3100121011100020222222211
41131200203231300300
53121111440114044
6114043002541504
710153052546200
oct1354043556060
9317140228884
10100404223024
1139643625916
1217561207894
13961149c271
144c06a04400
152929984634
hex17608edc30

100404223024 has 120 divisors (see below), whose sum is σ = 233913028608. Its totient is φ = 41585362560.

The previous prime is 100404222983. The next prime is 100404223027. The reversal of 100404223024 is 420322404001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100404222986 and 100404223004.

It is not an unprimeable number, because it can be changed into a prime (100404223027) 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 23 ways as a sum of consecutive naturals, for example, 20971959 + ... + 20976745.

Almost surely, 2100404223024 is an apocalyptic number.

100404223024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100404223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116956514304).

100404223024 is an abundant number, since it is smaller than the sum of its proper divisors (133508805584).

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

100404223024 is a wasteful number, since it uses less digits than its factorization.

100404223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 100404223024 its reverse (420322404001), we get a palindrome (520726627025).

The spelling of 100404223024 in words is "one hundred billion, four hundred four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 863 868 1519 1726 1736 3038 3452 3472 4787 6041 6076 6904 9574 12082 12152 13808 19148 24164 24304 26753 33509 38296 42287 48328 53506 67018 76592 84574 96656 107012 134036 148397 169148 187271 214024 234563 268072 296794 338296 374542 428048 469126 536144 593588 676592 749084 938252 1038779 1187176 1310897 1498168 1876504 2077558 2374352 2621794 2996336 3753008 4131181 4155116 5243588 7271453 8262362 8310232 10487176 14542906 16524724 16620464 20974352 28918267 29085812 33049448 57836534 58171624 66098896 115673068 116343248 128066611 202427869 231346136 256133222 404855738 462692272 512266444 809711476 896466277 1024532888 1619422952 1792932554 2049065776 3238845904 3585865108 6275263939 7171730216 12550527878 14343460432 25101055756 50202111512 100404223024