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2116105350 = 2352292272143
BaseRepresentation
bin111111000100001…
…0011010010000110
312110110211021211020
41332020103102012
513313210332400
6545551252010
7103303412232
oct17610232206
95413737736
102116105350
119965392a7
124b081a006
13279539658
1416107d5c2
15c5b992a0
hex7e213486

2116105350 has 96 divisors (see below), whose sum is σ = 5455365120. Its totient is φ = 542183040.

The previous prime is 2116105349. The next prime is 2116105351. The reversal of 2116105350 is 535016112.

It is an interprime number because it is at equal distance from previous prime (2116105349) and next prime (2116105351).

It is a self number, because there is not a number n which added to its sum of digits gives 2116105350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116105351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986379 + ... + 988521.

It is an arithmetic number, because the mean of its divisors is an integer number (56826720).

Almost surely, 22116105350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116105350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727682560).

2116105350 is an abundant number, since it is smaller than the sum of its proper divisors (3339259770).

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

2116105350 is a wasteful number, since it uses less digits than its factorization.

2116105350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2116105350 is about 46001.1450944430. The cubic root of 2116105350 is about 1283.8445102908.

The spelling of 2116105350 in words is "two billion, one hundred sixteen million, one hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 227 290 435 454 681 725 870 1135 1362 1450 2143 2175 2270 3405 4286 4350 5675 6429 6583 6810 10715 11350 12858 13166 17025 19749 21430 32145 32915 34050 39498 53575 62147 64290 65830 98745 107150 124294 160725 164575 186441 197490 310735 321450 329150 372882 486461 493725 621470 932205 972922 987450 1459383 1553675 1864410 2432305 2918766 3107350 4661025 4864610 7296915 9322050 12161525 14107369 14593830 24323050 28214738 36484575 42322107 70536845 72969150 84644214 141073690 211610535 352684225 423221070 705368450 1058052675 2116105350