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2052110112 = 253131918609
BaseRepresentation
bin111101001010000…
…1011011100100000
312022000101222212020
41322110023130200
513200320010422
6535343501440
7101565435213
oct17224133440
95260358766
102052110112
119633a9778
124932b7880
132691c1050
1415678177a
15c025795c
hex7a50b720

2052110112 has 96 divisors (see below), whose sum is σ = 5832207360. Its totient is φ = 628039680.

The previous prime is 2052110101. The next prime is 2052110119. The reversal of 2052110112 is 2110112502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20521101122 = 8422311823545305088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2052110091 and 2052110100.

It is not an unprimeable number, because it can be changed into a prime (2052110119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234064 + ... + 242672.

It is an arithmetic number, because the mean of its divisors is an integer number (60752160).

Almost surely, 22052110112 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 2052110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916103680).

2052110112 is an abundant number, since it is smaller than the sum of its proper divisors (3780097248).

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

2052110112 is a wasteful number, since it uses less digits than its factorization.

2052110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2052110112 is about 45300.2219862111. The cubic root of 2052110112 is about 1270.7698046461.

Adding to 2052110112 its reverse (2110112502), we get a palindrome (4162222614).

The spelling of 2052110112 in words is "two billion, fifty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 573 624 764 1146 1248 1528 2292 2483 3056 4584 4966 6112 7449 8609 9168 9932 14898 17218 18336 19864 25827 29796 34436 39728 51654 59592 68872 79456 103308 111917 119184 137744 206616 223834 238368 275488 335751 413232 447668 671502 826464 895336 1343004 1644319 1790672 2686008 3288638 3581344 4932957 5372016 6577276 9865914 10744032 13154552 19731828 21376147 26309104 39463656 42752294 52618208 64128441 78927312 85504588 128256882 157854624 171009176 256513764 342018352 513027528 684036704 1026055056 2052110112