Search a number
-
+
102002001202200 = 233521115454848667
BaseRepresentation
bin10111001100010100110001…
…000011000100110000011000
3111101011021222211202222120210
4113030110301003010300120
5101332200044301432300
61000535023352251120
730325254451450131
oct2714246103046030
9441137884688523
10102002001202200
112a556895545880
12b5348079a0aa0
1344bb994185918
141b28ccd390c88
15bbd48d2eb050
hex5cc5310c4c18

102002001202200 has 96 divisors (see below), whose sum is σ = 344952222269760. Its totient is φ = 24727757865600.

The previous prime is 102002001202187. The next prime is 102002001202223. The reversal of 102002001202200 is 2202100200201.

It is a super-2 number, since 2×1020020012022002 (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7727417734 + ... + 7727430933.

It is an arithmetic number, because the mean of its divisors is an integer number (3593252315310).

Almost surely, 2102002001202200 is an apocalyptic number.

102002001202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002001202200 is an abundant number, since it is smaller than the sum of its proper divisors (242950221067560).

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

102002001202200 is a wasteful number, since it uses less digits than its factorization.

102002001202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15454848697 (or 15454848688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102002001202200 its reverse (2202100200201), we get a palindrome (104204101402401).

The spelling of 102002001202200 in words is "one hundred two trillion, two billion, one million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 15454848667 30909697334 46364546001 61819394668 77274243335 92729092002 123638789336 154548486670 170003335337 185458184004 231822730005 309096973340 340006670674 370916368008 386371216675 463645460010 510010006011 618193946680 680013341348 772742433350 850016676685 927290920020 1020020012022 1159113650025 1360026682696 1545484866700 1700033353370 1854581840040 2040040024044 2318227300050 2550050030055 3090969733400 3400066706740 4080080048088 4250083383425 4636454600100 5100100060110 6800133413480 8500166766850 9272909200200 10200200120220 12750250150275 17000333533700 20400400240440 25500500300550 34000667067400 51001000601100 102002001202200