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2101110030 = 234523293889
BaseRepresentation
bin111110100111100…
…0110010100001110
312102102121110010000
41331033012110032
513300341010110
6544254025130
7103032066135
oct17517062416
95372543100
102101110030
11989027078
124a77a81a6
132763b9196
1415d09891c
15c46d61c0
hex7d3c650e

2101110030 has 160 divisors (see below), whose sum is σ = 6100142400. Its totient is φ = 517321728.

The previous prime is 2101110013. The next prime is 2101110031. The reversal of 2101110030 is 300111012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101109994 and 2101110021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101110031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 538326 + ... + 542214.

It is an arithmetic number, because the mean of its divisors is an integer number (38125890).

Almost surely, 22101110030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050071200).

2101110030 is an abundant number, since it is smaller than the sum of its proper divisors (3999032370).

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

2101110030 is a wasteful number, since it uses less digits than its factorization.

2101110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2101110030 is about 45837.8667697353. The cubic root of 2101110030 is about 1280.8047571948.

Adding to 2101110030 its reverse (300111012), we get a palindrome (2401221042).

The spelling of 2101110030 in words is "two billion, one hundred one million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 81 87 90 115 135 138 145 162 174 207 230 261 270 290 345 405 414 435 522 621 667 690 783 810 870 1035 1242 1305 1334 1566 1863 2001 2070 2349 2610 3105 3335 3726 3889 3915 4002 4698 6003 6210 6670 7778 7830 9315 10005 11667 11745 12006 18009 18630 19445 20010 23334 23490 30015 35001 36018 38890 54027 58335 60030 70002 89447 90045 105003 108054 112781 116670 175005 178894 180090 210006 225562 268341 270135 315009 338343 350010 447235 525015 536682 540270 563905 630018 676686 805023 894470 1015029 1050030 1127810 1341705 1575045 1610046 1691715 2030058 2415069 2593963 2683410 3045087 3150090 3383430 4025115 4830138 5075145 5187926 6090174 7245207 7781889 8050230 9135261 10150290 12075345 12969815 14490414 15225435 15563778 18270522 23345667 24150690 25939630 30450870 36226035 38909445 45676305 46691334 70037001 72452070 77818890 91352610 116728335 140074002 210111003 233456670 350185005 420222006 700370010 1050555015 2101110030