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2110121728 = 28111357641
BaseRepresentation
bin111110111000101…
…1110011100000000
312110001120021211121
41331301132130000
513310142343403
6545215122024
7103201511251
oct17561363400
95401507747
102110121728
11993121760
124aa813314
13278222c50
14160362b28
15c53b63bd
hex7dc5e700

2110121728 has 72 divisors (see below), whose sum is σ = 4948450416. Its totient is φ = 885350400.

The previous prime is 2110121723. The next prime is 2110121731. The reversal of 2110121728 is 8271210112.

It is a happy number.

It is a super-2 number, since 2×21101217282 = 8905227413955411968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110121723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7788 + ... + 65428.

It is an arithmetic number, because the mean of its divisors is an integer number (68728478).

Almost surely, 22110121728 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 2110121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474225208).

2110121728 is an abundant number, since it is smaller than the sum of its proper divisors (2838328688).

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

2110121728 is a wasteful number, since it uses less digits than its factorization.

2110121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57681 (or 57667 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 2110121728 is about 45936.0613026411. The cubic root of 2110121728 is about 1282.6332768992.

The spelling of 2110121728 in words is "two billion, one hundred ten million, one hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4576 9152 18304 36608 57641 115282 230564 461128 634051 749333 922256 1268102 1498666 1844512 2536204 2997332 3689024 5072408 5994664 7378048 8242663 10144816 11989328 14756096 16485326 20289632 23978656 32970652 40579264 47957312 65941304 81158528 95914624 131882608 162317056 191829248 263765216 527530432 1055060864 2110121728