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152122500200 = 235211229730103
BaseRepresentation
bin1000110110101100110…
…1010010010001101000
3112112122200022200210002
42031223031102101220
54443021330001300
6153514545042132
713663510626326
oct2155315222150
9475580280702
10152122500200
1159573204a50
1225595626348
1311464217738
147511616d16
153e550dd5d5
hex236b352468

152122500200 has 96 divisors (see below), whose sum is σ = 386018775360. Its totient is φ = 55291353600.

The previous prime is 152122500197. The next prime is 152122500217. The reversal of 152122500200 is 2005221251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5038349 + ... + 5068451.

It is an arithmetic number, because the mean of its divisors is an integer number (4021028910).

Almost surely, 2152122500200 is an apocalyptic number.

152122500200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152122500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193009387680).

152122500200 is an abundant number, since it is smaller than the sum of its proper divisors (233896275160).

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

152122500200 is a wasteful number, since it uses less digits than its factorization.

152122500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32427 (or 32418 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 152122500200 its reverse (2005221251), we get a palindrome (154127721451).

The spelling of 152122500200 in words is "one hundred fifty-two billion, one hundred twenty-two million, five hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2297 4594 9188 11485 18376 22970 25267 30103 45940 50534 57425 60206 91880 101068 114850 120412 126335 150515 202136 229700 240824 252670 301030 331133 459400 505340 602060 631675 662266 752575 1010680 1204120 1263350 1324532 1505150 1655665 2526700 2649064 3010300 3311330 5053400 6020600 6622660 8278325 13245320 16556650 33113300 66226600 69146591 138293182 276586364 345732955 553172728 691465910 760612501 1382931820 1521225002 1728664775 2765863640 3042450004 3457329550 3803062505 6084900008 6914659100 7606125010 13829318200 15212250020 19015312525 30424500040 38030625050 76061250100 152122500200