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100050240224 = 25113117352999
BaseRepresentation
bin101110100101101110…
…1011000001011100000
3100120020200011210212202
41131023131120023200
53114400330141344
6113543515512332
710141224003314
oct1351335301340
9316220153782
10100050240224
1139481830350
12174827586a8
13958605029c
144bb19bbb44
15290886094e
hex174b7582e0

100050240224 has 96 divisors (see below), whose sum is σ = 223098624000. Its totient is φ = 43755148800.

The previous prime is 100050240217. The next prime is 100050240247. The reversal of 100050240224 is 422042050001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100050240196 and 100050240205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861277 + ... + 1914275.

It is an arithmetic number, because the mean of its divisors is an integer number (2323944000).

Almost surely, 2100050240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100050240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111549312000).

100050240224 is an abundant number, since it is smaller than the sum of its proper divisors (123048383776).

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

100050240224 is a wasteful number, since it uses less digits than its factorization.

100050240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53224 (or 53216 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 100050240224 its reverse (422042050001), we get a palindrome (522092290225).

The spelling of 100050240224 in words is "one hundred billion, fifty million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 173 176 248 341 346 352 496 682 692 992 1364 1384 1903 2728 2768 3806 5363 5456 5536 7612 10726 10912 15224 21452 30448 42904 52999 58993 60896 85808 105998 117986 171616 211996 235972 423992 471944 582989 847984 943888 1165978 1642969 1695968 1887776 2331956 3285938 4663912 6571876 9168827 9327824 13143752 18072659 18337654 18655648 26287504 36145318 36675308 52575008 72290636 73350616 100857097 144581272 146701232 201714194 284233637 289162544 293402464 403428388 568467274 578325088 806856776 1136934548 1613713552 2273869096 3126570007 3227427104 4547738192 6253140014 9095476384 12506280028 25012560056 50025120112 100050240224