Search a number
-
+
100040240410 = 251123103397967
BaseRepresentation
bin101110100101011011…
…1001110110100011010
3100120012222100202201021
41131022313032310122
53114340300143120
6113542521313054
710141043004325
oct1351267166432
9316188322637
10100040240410
1139477120340
121747b33578a
139583c5b836
144bb05377bc
152907a37aaa
hex174adced1a

100040240410 has 128 divisors (see below), whose sum is σ = 207709691904. Its totient is φ = 34336431360.

The previous prime is 100040240393. The next prime is 100040240411. The reversal of 100040240410 is 14042040001.

It is not an unprimeable number, because it can be changed into a prime (100040240411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103453747 + ... + 103454713.

It is an arithmetic number, because the mean of its divisors is an integer number (1622731968).

Almost surely, 2100040240410 is an apocalyptic number.

100040240410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100040240410 is an abundant number, since it is smaller than the sum of its proper divisors (107669451494).

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

100040240410 is a wasteful number, since it uses less digits than its factorization.

100040240410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100040240410 its reverse (14042040001), we get a palindrome (114082280411).

The spelling of 100040240410 in words is "one hundred billion, forty million, two hundred forty thousand, four hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 103 110 115 206 230 253 397 506 515 794 967 1030 1133 1265 1934 1985 2266 2369 2530 3970 4367 4738 4835 5665 8734 9131 9670 10637 11330 11845 18262 21274 21835 22241 23690 26059 40891 43670 44482 45655 52118 53185 81782 91310 99601 100441 106370 111205 130295 199202 200882 204455 222410 244651 260590 383899 408910 449801 489302 498005 502205 767798 899602 940493 996010 1004410 1095611 1223255 1880986 1919495 2191222 2249005 2290823 2446510 3838990 4222889 4498010 4581646 4702465 5478055 8445778 8829677 9404930 10345423 10956110 11454115 17659354 20690846 21114445 22908230 25199053 39541597 42228890 44148385 50398106 51727115 79083194 88296770 97126447 103454230 125995265 194252894 197707985 251990530 395415970 434957567 485632235 869915134 909456731 971264470 1818913462 2174787835 4349575670 4547283655 9094567310 10004024041 20008048082 50020120205 100040240410