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24101000200 = 2352565321317
BaseRepresentation
bin10110011100100010…
…000001010000001000
32022012122021122221001
4112130202001100020
5343324324001300
615023304024344
71512150056464
oct263442012010
968178248831
1024101000200
11a248428192
1248074620b4
132371200184
141248c0b4a4
15960ce216a
hex59c881408

24101000200 has 48 divisors (see below), whose sum is σ = 56047366980. Its totient is φ = 9638242560.

The previous prime is 24101000149. The next prime is 24101000269. The reversal of 24101000200 is 200010142.

It can be written as a sum of positive squares in 6 ways, for example, as 20608899364 + 3492100836 = 143558^2 + 59094^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1119942 + ... + 1141258.

Almost surely, 224101000200 is an apocalyptic number.

24101000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24101000200 is an abundant number, since it is smaller than the sum of its proper divisors (31946366780).

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

24101000200 is a wasteful number, since it uses less digits than its factorization.

24101000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26986 (or 26977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 24101000200 its reverse (200010142), we get a palindrome (24301010342).

The spelling of 24101000200 in words is "twenty-four billion, one hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5653 11306 21317 22612 28265 42634 45224 56530 85268 106585 113060 141325 170536 213170 226120 282650 426340 532925 565300 852680 1065850 1130600 2131700 4263400 120505001 241010002 482020004 602525005 964040008 1205050010 2410100020 3012625025 4820200040 6025250050 12050500100 24101000200