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2101130334 = 233178925717
BaseRepresentation
bin111110100111100…
…1011010001011110
312102102122110222000
41331033023101132
513300342132314
6544254303130
7103032212262
oct17517132136
95372573860
102101130334
11989040356
124a77b7aa6
132763c54b4
1415d0a20a2
15c46dc209
hex7d3cb45e

2101130334 has 64 divisors (see below), whose sum is σ = 4999579200. Its totient is φ = 651746304.

The previous prime is 2101130329. The next prime is 2101130341. The reversal of 2101130334 is 4330311012.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68844 + ... + 94560.

It is an arithmetic number, because the mean of its divisors is an integer number (78118425).

Almost surely, 22101130334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101130334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499789600).

2101130334 is an abundant number, since it is smaller than the sum of its proper divisors (2898448866).

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

2101130334 is a wasteful number, since it uses less digits than its factorization.

2101130334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25834 (or 25828 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2101130334 is about 45838.0882454755. The cubic root of 2101130334 is about 1280.8088828515.

Adding to 2101130334 its reverse (4330311012), we get a palindrome (6431441346).

The spelling of 2101130334 in words is "two billion, one hundred one million, one hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 89 102 153 178 267 306 459 534 801 918 1513 1602 2403 3026 4539 4806 9078 13617 25717 27234 40851 51434 77151 81702 154302 231453 437189 462906 694359 874378 1311567 1388718 2288813 2623134 3934701 4577626 6866439 7869402 11804103 13732878 20599317 23608206 38909821 41198634 61797951 77819642 116729463 123595902 233458926 350188389 700376778 1050565167 2101130334