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3032120000200 = 2352131181639391
BaseRepresentation
bin101100000111111000011…
…011110111111011001000
3101201212102122201100101011
4230013320123313323020
5344134240210001300
610240534154333304
7432030521516404
oct54077033677310
911655378640334
103032120000200
11a69a07769295
1240b78aa2a234
1318cc0a196395
14a6a80b16104
1553d14535eba
hex2c1f86f7ec8

3032120000200 has 96 divisors (see below), whose sum is σ = 7142750334720. Its totient is φ = 1196938080000.

The previous prime is 3032120000111. The next prime is 3032120000207. The reversal of 3032120000200 is 20000212303.

It is a happy number.

It is a super-2 number, since 2×30321200002002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3032120000207) 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, 4422505 + ... + 5061895.

It is an arithmetic number, because the mean of its divisors is an integer number (74403649320).

Almost surely, 23032120000200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3032120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571375167360).

3032120000200 is an abundant number, since it is smaller than the sum of its proper divisors (4110630334520).

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

3032120000200 is a wasteful number, since it uses less digits than its factorization.

3032120000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639719 (or 639710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 3032120000200 its reverse (20000212303), we get a palindrome (3052120212503).

The spelling of 3032120000200 in words is "three trillion, thirty-two billion, one hundred twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 181 200 262 362 524 655 724 905 1048 1310 1448 1810 2620 3275 3620 4525 5240 6550 7240 9050 13100 18100 23711 26200 36200 47422 94844 118555 189688 237110 474220 592775 639391 948440 1185550 1278782 2371100 2557564 3196955 4742200 5115128 6393910 12787820 15984775 25575640 31969550 63939100 83760221 115729771 127878200 167520442 231459542 335040884 418801105 462919084 578648855 670081768 837602210 925838168 1157297710 1675204420 2094005525 2314595420 2893244275 3350408840 4188011050 4629190840 5786488550 8376022100 11572977100 15160600001 16752044200 23145954200 30321200002 60642400004 75803000005 121284800008 151606000010 303212000020 379015000025 606424000040 758030000050 1516060000100 3032120000200