Search a number
-
+
100132200212224 = 284113769635287
BaseRepresentation
bin10110110001000111011000…
…001110010110011100000000
3111010112112201012100010200011
4112301013120032112130000
5101111031221223242344
6552544033040034304
730043212160331425
oct2661073016263400
9433475635303604
10100132200212224
11299a5911640314
12b29235b302994
1343b456cac48ab
141aa25d25b1d4c
15b89a05892d34
hex5b11d8396700

100132200212224 has 72 divisors (see below), whose sum is σ = 206242732045728. Its totient is φ = 48488442347520.

The previous prime is 100132200212203. The next prime is 100132200212237. The reversal of 100132200212224 is 422212002231001.

It is a junction number, because it is equal to n+sod(n) for n = 100132200212195 and 100132200212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33379692 + ... + 36255595.

It is an arithmetic number, because the mean of its divisors is an integer number (2864482389524).

Almost surely, 2100132200212224 is an apocalyptic number.

It is an amenable number.

100132200212224 is an abundant number, since it is smaller than the sum of its proper divisors (106110531833504).

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

100132200212224 is an equidigital number, since it uses as much as digits as its factorization.

100132200212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69635481 (or 69635467 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100132200212224 its reverse (422212002231001), we get a palindrome (522344202443225).

The spelling of 100132200212224 in words is "one hundred trillion, one hundred thirty-two billion, two hundred million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 137 164 256 274 328 548 656 1096 1312 2192 2624 4384 5248 5617 8768 10496 11234 17536 22468 35072 44936 89872 179744 359488 718976 1437952 69635287 139270574 278541148 557082296 1114164592 2228329184 2855046767 4456658368 5710093534 8913316736 9540034319 11420187068 17826633472 19080068638 22840374136 38160137276 45680748272 76320274552 91361496544 152640549104 182722993088 305281098208 365445986176 391141407079 610562196416 730891972352 782282814158 1221124392832 1564565628316 2442248785664 3129131256632 6258262513264 12516525026528 25033050053056 50066100106112 100132200212224