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200241003024 = 243210319768531
BaseRepresentation
bin1011101001111101001…
…0110011101000010000
3201010212010202220111100
42322133102303220100
511240043144044044
6231553415344400
720316105304506
oct2723722635020
9633763686440
10200241003024
1177a1590a357
1232984382100
1315b6223170a
1499980d8676
15531e6cc869
hex2e9f4b3a10

200241003024 has 120 divisors (see below), whose sum is σ = 568718010432. Its totient is φ = 65762484480.

The previous prime is 200241003013. The next prime is 200241003077. The reversal of 200241003024 is 420300142002.

200241003024 is a `hidden beast` number, since 200 + 2 + 410 + 0 + 30 + 24 = 666.

200241003024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200241002988 and 200241003006.

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 23 ways as a sum of consecutive naturals, for example, 2887639 + ... + 2956169.

Almost surely, 2200241003024 is an apocalyptic number.

200241003024 is a gapful number since it is divisible by the number (24) 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 200241003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284359005216).

200241003024 is an abundant number, since it is smaller than the sum of its proper divisors (368477007408).

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

200241003024 is a wasteful number, since it uses less digits than its factorization.

200241003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68845 (or 68836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200241003024 its reverse (420300142002), we get a palindrome (620541145026).

The spelling of 200241003024 in words is "two hundred billion, two hundred forty-one million, three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 197 206 309 394 412 591 618 788 824 927 1182 1236 1576 1648 1773 1854 2364 2472 3152 3546 3708 4728 4944 7092 7416 9456 14184 14832 20291 28368 40582 60873 68531 81164 121746 137062 162328 182619 205593 243492 274124 324656 365238 411186 486984 548248 616779 730476 822372 973968 1096496 1233558 1460952 1644744 2467116 2921904 3289488 4934232 7058693 9868464 13500607 14117386 21176079 27001214 28234772 40501821 42352158 54002428 56469544 63528237 81003642 84704316 108004856 112939088 121505463 127056474 162007284 169408632 216009712 243010926 254112948 324014568 338817264 486021852 508225896 648029136 972043704 1016451792 1390562521 1944087408 2781125042 4171687563 5562250084 8343375126 11124500168 12515062689 16686750252 22249000336 25030125378 33373500504 50060250756 66747001008 100120501512 200241003024