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153221200005 = 35173130836287
BaseRepresentation
bin1000111010110010110…
…0011111100010000101
3112122111020201102120110
42032230230133202011
510002244111400010
6154215554023233
714032651465626
oct2165454374205
9478436642513
10153221200005
1159a87411415
1225841577b19
13115aaa31673
1475b74d7a4d
153ebb7b9120
hex23acb1f885

153221200005 has 64 divisors (see below), whose sum is σ = 268077662208. Its totient is φ = 74394055680.

The previous prime is 153221199997. The next prime is 153221200007. The reversal of 153221200005 is 500002122351.

153221200005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153221200005 - 23 = 153221199997 is a prime.

It is a super-2 number, since 2×1532212000052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153221200007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24367972 + ... + 24374258.

It is an arithmetic number, because the mean of its divisors is an integer number (4188713472).

Almost surely, 2153221200005 is an apocalyptic number.

153221200005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153221200005 is a deficient number, since it is larger than the sum of its proper divisors (114856462203).

153221200005 is a wasteful number, since it uses less digits than its factorization.

153221200005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 153221200005 its reverse (500002122351), we get a palindrome (653223322356).

The spelling of 153221200005 in words is "one hundred fifty-three billion, two hundred twenty-one million, two hundred thousand, five".

Divisors: 1 3 5 15 17 31 51 85 93 155 255 465 527 1581 2635 3083 6287 7905 9249 15415 18861 31435 46245 52411 94305 95573 106879 157233 194897 262055 286719 320637 477865 534395 584691 786165 974485 1433595 1603185 1624741 2923455 3313249 4874223 8123705 9939747 16566245 19382821 24371115 49698735 58148463 96914105 290742315 329507957 600867451 988523871 1647539785 1802602353 3004337255 4942619355 9013011765 10214746667 30644240001 51073733335 153221200005