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116202201100 = 225231367110211
BaseRepresentation
bin110110000111000110…
…0001110000000001100
3102002221022221102210221
41230032030032000030
53400440230413400
6125214344241124
711252412261256
oct1541614160014
9362838842727
10116202201100
1145310127647
121a62ba701a4
13ac5b440a9b
1458a4bc8cd6
153051871c1a
hex1b0e30e00c

116202201100 has 72 divisors (see below), whose sum is σ = 260389334016. Its totient is φ = 44964840000.

The previous prime is 116202201083. The next prime is 116202201103. The reversal of 116202201100 is 1102202611.

It is not an unprimeable number, because it can be changed into a prime (116202201103) 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, 11374995 + ... + 11385205.

It is an arithmetic number, because the mean of its divisors is an integer number (3616518528).

Almost surely, 2116202201100 is an apocalyptic number.

116202201100 is a gapful number since it is divisible by the number (10) 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 116202201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130194667008).

116202201100 is an abundant number, since it is smaller than the sum of its proper divisors (144187132916).

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

116202201100 is a wasteful number, since it uses less digits than its factorization.

116202201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13927 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 116202201100 its reverse (1102202611), we get a palindrome (117304403711).

The spelling of 116202201100 in words is "one hundred sixteen billion, two hundred two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3671 7342 10211 14684 18355 20422 36710 40844 51055 73420 91775 102110 113801 183550 204220 227602 255275 316541 367100 455204 510550 569005 633082 1021100 1138010 1266164 1582705 2276020 2845025 3165410 5690050 6330820 7913525 11380100 15827050 31654100 37484581 74969162 149938324 187422905 374845810 749691620 937114525 1162022011 1874229050 2324044022 3748458100 4648088044 5810110055 11620220110 23240440220 29050550275 58101100550 116202201100