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116210202180 = 2235131139106367
BaseRepresentation
bin110110000111010101…
…0101111011001000100
3102002221212222221020020
41230032222233121010
53400444302432210
6125215231535140
711252540264112
oct1541652573104
9362855887206
10116210202180
11453146a1a06
121a63268a4b0
13ac5ccb2857
1458a5cacab2
153052402770
hex1b0eaaf644

116210202180 has 96 divisors (see below), whose sum is σ = 330234347520. Its totient is φ = 30531296640.

The previous prime is 116210202149. The next prime is 116210202221. The reversal of 116210202180 is 81202012611.

It is a super-2 number, since 2×1162102021802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116210202180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039357 + ... + 1145723.

It is an arithmetic number, because the mean of its divisors is an integer number (3439941120).

Almost surely, 2116210202180 is an apocalyptic number.

116210202180 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 116210202180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165117173760).

116210202180 is an abundant number, since it is smaller than the sum of its proper divisors (214024145340).

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

116210202180 is a wasteful number, since it uses less digits than its factorization.

116210202180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106649 (or 106647 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 116210202180 its reverse (81202012611), we get a palindrome (197412214791).

The spelling of 116210202180 in words is "one hundred sixteen billion, two hundred ten million, two hundred two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 139 262 278 393 417 524 556 655 695 786 834 1310 1390 1572 1668 1965 2085 2620 2780 3930 4170 7860 8340 18209 36418 54627 72836 91045 106367 109254 182090 212734 218508 273135 319101 364180 425468 531835 546270 638202 1063670 1092540 1276404 1595505 2127340 3191010 6382020 13934077 14785013 27868154 29570026 41802231 44355039 55736308 59140052 69670385 73925065 83604462 88710078 139340770 147850130 167208924 177420156 209011155 221775195 278681540 295700260 418022310 443550390 836044620 887100780 1936836703 3873673406 5810510109 7747346812 9684183515 11621020218 19368367030 23242040436 29052550545 38736734060 58105101090 116210202180