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2071310112 = 253216344123
BaseRepresentation
bin111101101110101…
…1010111100100000
312100100112110022100
41323131122330200
513220223410422
6541311210400
7102220562664
oct17335327440
95310473270
102071310112
11973222a43
12499816a00
132701842b1
1415913c8a4
15c1c9b7ac
hex7b75af20

2071310112 has 72 divisors (see below), whose sum is σ = 5926559184. Its totient is φ = 686185344.

The previous prime is 2071310089. The next prime is 2071310117. The reversal of 2071310112 is 2110131702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×20713101123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2071310117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24883 + ... + 69005.

It is an arithmetic number, because the mean of its divisors is an integer number (82313322).

Almost surely, 22071310112 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 2071310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963279592).

2071310112 is an abundant number, since it is smaller than the sum of its proper divisors (3855249072).

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

2071310112 is a wasteful number, since it uses less digits than its factorization.

2071310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44302 (or 44291 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2071310112 is about 45511.6480914502. The cubic root of 2071310112 is about 1274.7207102214.

Adding to 2071310112 its reverse (2110131702), we get a palindrome (4181441814).

The spelling of 2071310112 in words is "two billion, seventy-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 44123 46944 88246 132369 176492 264738 352984 397107 529476 705968 794214 1058952 1411936 1588428 2117904 3176856 4235808 6353712 7192049 12707424 14384098 21576147 28768196 43152294 57536392 64728441 86304588 115072784 129456882 172609176 230145568 258913764 345218352 517827528 690436704 1035655056 2071310112