Search a number
-
+
100241012212 = 221119298946457
BaseRepresentation
bin101110101011011010…
…1000111010111110100
3100120201222011000211221
41131112311013113310
53120243144342322
6114014452440124
710146031355005
oct1352665072764
9316658130757
10100241012212
113956a490150
1217516619044
1395b6726213
144bcd07b1ac
15291a4959c7
hex1756d475f4

100241012212 has 96 divisors (see below), whose sum is σ = 210733488000. Its totient is φ = 41208330240.

The previous prime is 100241012203. The next prime is 100241012251. The reversal of 100241012212 is 212210142001.

100241012212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134488 + ... + 2180944.

It is an arithmetic number, because the mean of its divisors is an integer number (2195140500).

Almost surely, 2100241012212 is an apocalyptic number.

It is an amenable number.

100241012212 is an abundant number, since it is smaller than the sum of its proper divisors (110492475788).

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

100241012212 is a wasteful number, since it uses less digits than its factorization.

100241012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46609 (or 46607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100241012212 its reverse (212210142001), we get a palindrome (312451154213).

The spelling of 100241012212 in words is "one hundred billion, two hundred forty-one million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 89 116 178 209 319 356 418 551 638 836 979 1102 1276 1691 1958 2204 2581 3382 3916 5162 6061 6764 10324 12122 18601 24244 28391 37202 46457 49039 56782 74404 92914 98078 113564 185828 196156 511027 539429 882683 1022054 1078858 1347253 1765366 2044108 2157716 2694506 3530732 4134673 5389012 8269346 9709513 14819783 16538692 19419026 25597807 29639566 38838052 45481403 51195614 59279132 78558787 90962806 102391228 119905517 157117574 181925612 239811034 281575877 314235148 479622068 563151754 864146657 1126303508 1318960687 1728293314 2278204823 2637921374 3456586628 4556409646 5275842748 9112819292 25060253053 50120506106 100241012212