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116511202000 = 2453174133461
BaseRepresentation
bin110110010000010011…
…0111101101011010000
3102010201212101022100201
41230200212331223100
53402103331431000
6125305143224544
711263153606444
oct1544046755320
9363655338321
10116511202000
1145459599596
121a6b7448154
13acaa47075b
1458d3c62824
15306da5c96a
hex1b209bdad0

116511202000 has 80 divisors (see below), whose sum is σ = 281894328144. Its totient is φ = 46576320000.

The previous prime is 116511201997. The next prime is 116511202037. The reversal of 116511202000 is 202115611.

It can be written as a sum of positive squares in 8 ways, for example, as 80499308176 + 36011893824 = 283724^2 + 189768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465270 + ... + 3498730.

Almost surely, 2116511202000 is an apocalyptic number.

116511202000 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 116511202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140947164072).

116511202000 is an abundant number, since it is smaller than the sum of its proper divisors (165383126144).

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

116511202000 is a wasteful number, since it uses less digits than its factorization.

116511202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35225 (or 35209 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 116511202000 its reverse (202115611), we get a palindrome (116713317611).

The spelling of 116511202000 in words is "one hundred sixteen billion, five hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1741 2000 3482 6964 8705 13928 17410 27856 33461 34820 43525 66922 69640 87050 133844 139280 167305 174100 217625 267688 334610 348200 435250 535376 669220 696400 836525 870500 1338440 1673050 1741000 2676880 3346100 3482000 4182625 6692200 8365250 13384400 16730500 33461000 58255601 66922000 116511202 233022404 291278005 466044808 582556010 932089616 1165112020 1456390025 2330224040 2912780050 4660448080 5825560100 7281950125 11651120200 14563900250 23302240400 29127800500 58255601000 116511202000