Search a number
-
+
100153314534 = 237131131623283
BaseRepresentation
bin101110101000110011…
…0100100110011100110
3100120111212010112020210
41131101212210303212
53120103222031114
6114002041040250
710143615061440
oct1352146446346
9316455115223
10100153314534
1139524a31629
12174b1186086
1395a14cc1c0
144bc156d490
152912921259
hex17519a4ce6

100153314534 has 64 divisors (see below), whose sum is σ = 248713081344. Its totient is φ = 26180292096.

The previous prime is 100153314517. The next prime is 100153314571. The reversal of 100153314534 is 435413351001.

It is a super-3 number, since 3×1001533145343 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749944 + ... + 873339.

It is an arithmetic number, because the mean of its divisors is an integer number (3886141896).

Almost surely, 2100153314534 is an apocalyptic number.

100153314534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100153314534 is an abundant number, since it is smaller than the sum of its proper divisors (148559766810).

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

100153314534 is a wasteful number, since it uses less digits than its factorization.

100153314534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623421.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 100153314534 its reverse (435413351001), we get a palindrome (535566665535).

The spelling of 100153314534 in words is "one hundred billion, one hundred fifty-three million, three hundred fourteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 113 182 226 273 339 546 678 791 1469 1582 2373 2938 4407 4746 8814 10283 20566 30849 61698 1623283 3246566 4869849 9739698 11362981 21102679 22725962 34088943 42205358 63308037 68177886 126616074 147718753 183430979 295437506 366861958 443156259 550292937 886312518 1100585874 1284016853 2384602727 2568033706 3852050559 4769205454 7153808181 7704101118 14307616362 16692219089 33384438178 50076657267 100153314534