Search a number
-
+
100100010100110 = 23573137333633337
BaseRepresentation
bin10110110000101001011001…
…100010110100010110001110
3111010102110121210222000021120
4112300221121202310112032
5101110014310041200420
6552521150530141410
730040662365025156
oct2660513142642616
9433373553860246
10100100010100110
11299931a3110679
12b288076a21866
1343b150ca80987
141aa0c1b341766
15b88c6e851d40
hex5b0a598b458e

100100010100110 has 64 divisors (see below), whose sum is σ = 245308582631232. Its totient is φ = 26135501008896.

The previous prime is 100100010100109. The next prime is 100100010100151. The reversal of 100100010100110 is 11001010001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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, 166516639 + ... + 167116698.

It is an arithmetic number, because the mean of its divisors is an integer number (3832946603613).

Almost surely, 2100100010100110 is an apocalyptic number.

100100010100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100010100110 is an abundant number, since it is smaller than the sum of its proper divisors (145208572531122).

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

100100010100110 is a wasteful number, since it uses less digits than its factorization.

100100010100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333633557.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100010100110 its reverse (11001010001001), we get a palindrome (111101020101111).

The spelling of 100100010100110 in words is "one hundred trillion, one hundred billion, ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 137 146 219 274 365 411 438 685 730 822 1095 1370 2055 2190 4110 10001 20002 30003 50005 60006 100010 150015 300030 333633337 667266674 1000900011 1668166685 2001800022 3336333370 5004500055 10009000110 24355233601 45707767169 48710467202 73065700803 91415534338 121776168005 137123301507 146131401606 228538835845 243552336010 274246603014 365328504015 457077671690 685616507535 730657008030 1371233015070 3336667003337 6673334006674 10010001010011 16683335016685 20020002020022 33366670033370 50050005050055 100100010100110