Search a number
-
+
31003030200 = 23352311166147
BaseRepresentation
bin11100110111111011…
…001011001010111000
32222000122200010010210
4130313323023022320
51001443233431300
622124222311120
72145166260102
oct346773131270
988018603123
1031003030200
111216a44750a
126012a284a0
132c011235ac
141701744572
15c16c08050
hex737ecb2b8

31003030200 has 96 divisors (see below), whose sum is σ = 96419007360. Its totient is φ = 8240841600.

The previous prime is 31003030181. The next prime is 31003030207. The reversal of 31003030200 is 203030013.

It is a happy number.

It is a super-2 number, since 2×310030302002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003030207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103527 + ... + 269673.

It is an arithmetic number, because the mean of its divisors is an integer number (1004364660).

Almost surely, 231003030200 is an apocalyptic number.

31003030200 is a gapful number since it is divisible by the number (30) 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 31003030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48209503680).

31003030200 is an abundant number, since it is smaller than the sum of its proper divisors (65415977160).

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

31003030200 is a wasteful number, since it uses less digits than its factorization.

31003030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166477 (or 166468 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 31003030200 its reverse (203030013), we get a palindrome (31206060213).

The spelling of 31003030200 in words is "thirty-one billion, three million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 311 600 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 7775 9330 12440 15550 18660 23325 31100 37320 46650 62200 93300 166147 186600 332294 498441 664588 830735 996882 1329176 1661470 1993764 2492205 3322940 3987528 4153675 4984410 6645880 8307350 9968820 12461025 16614700 19937640 24922050 33229400 49844100 51671717 99688200 103343434 155015151 206686868 258358585 310030302 413373736 516717170 620060604 775075755 1033434340 1240121208 1291792925 1550151510 2066868680 2583585850 3100303020 3875378775 5167171700 6200606040 7750757550 10334343400 15501515100 31003030200