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2101343310 = 2345111713873
BaseRepresentation
bin111110100111111…
…1111010001001110
312102110001022010000
41331033333101032
513300420441220
6544303025130
7103034060223
oct17517772116
95373038100
102101343310
11989176370
124a789b1a6
1327646b411
1415d11994a
15c4730390
hex7d3ff44e

2101343310 has 160 divisors (see below), whose sum is σ = 6526995552. Its totient is φ = 479416320.

The previous prime is 2101343269. The next prime is 2101343317. The reversal of 2101343310 is 133431012.

2101343310 is a `hidden beast` number, since 2 + 10 + 1 + 343 + 310 = 666.

It is a super-2 number, since 2×21013433102 = 8831287412963512200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101343317) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144534 + ... + 158406.

Almost surely, 22101343310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101343310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263497776).

2101343310 is an abundant number, since it is smaller than the sum of its proper divisors (4425652242).

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

2101343310 is a wasteful number, since it uses less digits than its factorization.

2101343310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920 (or 13911 counting only the distinct ones).

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

The square root of 2101343310 is about 45840.4113201442. The cubic root of 2101343310 is about 1280.8521567554.

Adding to 2101343310 its reverse (133431012), we get a palindrome (2234774322).

It can be divided in two parts, 210134 and 3310, that added together give a square (213444 = 4622).

The spelling of 2101343310 in words is "two billion, one hundred one million, three hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 81 85 90 99 102 110 135 153 162 165 170 187 198 255 270 297 306 330 374 405 459 495 510 561 594 765 810 891 918 935 990 1122 1377 1485 1530 1683 1782 1870 2295 2754 2805 2970 3366 4455 4590 5049 5610 6885 8415 8910 10098 13770 13873 15147 16830 25245 27746 30294 41619 50490 69365 75735 83238 124857 138730 151470 152603 208095 235841 249714 305206 374571 416190 457809 471682 624285 707523 749142 763015 915618 1123713 1179205 1248570 1373427 1415046 1526030 1872855 2122569 2247426 2289045 2358410 2594251 2746854 3537615 3745710 4120281 4245138 4578090 5188502 5618565 6367707 6867135 7075230 7782753 8240562 10612845 11237130 12360843 12735414 12971255 13734270 15565506 19103121 20601405 21225690 23348259 24721686 25942510 31838535 38206242 38913765 41202810 46696518 61804215 63677070 70044777 77827530 95515605 116741295 123608430 140089554 191031210 210134331 233482590 350223885 420268662 700447770 1050671655 2101343310