Search a number
-
+
152122200405 = 35731179261089
BaseRepresentation
bin1000110110101100110…
…0001001000101010101
3112112122122202110112120
42031223030021011111
54443021240403110
6153514534410153
713663505240310
oct2155314110525
9475578673476
10152122200405
115957301a78a
1225595500959
1311464141146
147511579977
153e5507e870
hex236b309155

152122200405 has 64 divisors (see below), whose sum is σ = 288744652800. Its totient is φ = 66922076160.

The previous prime is 152122200403. The next prime is 152122200449. The reversal of 152122200405 is 504002221251.

It is not a de Polignac number, because 152122200405 - 21 = 152122200403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152122200403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452101 + ... + 713189.

It is an arithmetic number, because the mean of its divisors is an integer number (4511635200).

Almost surely, 2152122200405 is an apocalyptic number.

152122200405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152122200405 is a deficient number, since it is larger than the sum of its proper divisors (136622452395).

152122200405 is a wasteful number, since it uses less digits than its factorization.

152122200405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261314.

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 152122200405 its reverse (504002221251), we get a palindrome (656124421656).

The spelling of 152122200405 in words is "one hundred fifty-two billion, one hundred twenty-two million, two hundred thousand, four hundred five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 179 217 465 537 651 895 1085 1253 2685 3255 3759 5549 6265 16647 18795 27745 38843 83235 116529 194215 261089 582645 783267 1305445 1827623 3916335 5482869 8093759 9138115 24281277 27414345 40468795 46734931 56656313 121406385 140204793 169968939 233674655 283281565 327144517 701023965 849844695 981433551 1448782861 1635722585 4346348583 4907167755 7243914305 10141480027 21731742915 30424440081 50707400135 152122200405