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2113122288 = 243415918199
BaseRepresentation
bin111110111110011…
…1010111111110000
312110021012201211110
41331330322333300
513311424403123
6545403313320
7103236146244
oct17574727760
95407181743
102113122288
11994891062
124ab81b840
13278a33924
14160904424
15c57aa493
hex7df3aff0

2113122288 has 80 divisors (see below), whose sum is σ = 5687136000. Its totient is φ = 675509760.

The previous prime is 2113122241. The next prime is 2113122301. The reversal of 2113122288 is 8822213112.

It is a nude number because it is divisible by every one of its digits.

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, 107013 + ... + 125211.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 22113122288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113122288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568000).

2113122288 is an abundant number, since it is smaller than the sum of its proper divisors (3574013712).

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

2113122288 is a wasteful number, since it uses less digits than its factorization.

2113122288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18310 (or 18304 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2113122288 is about 45968.7098796562. The cubic root of 2113122288 is about 1283.2409504233.

The spelling of 2113122288 in words is "two billion, one hundred thirteen million, one hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 59 82 118 123 164 177 236 246 328 354 472 492 656 708 944 984 1416 1968 2419 2832 4838 7257 9676 14514 18199 19352 29028 36398 38704 54597 58056 72796 109194 116112 145592 218388 291184 436776 746159 873552 1073741 1492318 2147482 2238477 2984636 3221223 4294964 4476954 5969272 6442446 8589928 8953908 11938544 12884892 17179856 17907816 25769784 35815632 44023381 51539568 88046762 132070143 176093524 264140286 352187048 528280572 704374096 1056561144 2113122288