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100030030110 = 23354310098539
BaseRepresentation
bin101110100101001000…
…0010010000100011110
3100120012021011000211000
41131022100102010132
53114330141430420
6113541514411130
710140560140563
oct1351220220436
9316167130730
10100030030110
113947138717a
1217477a30aa6
139581ac533a
144bad03a86a
152906bbc690
hex174a41211e

100030030110 has 128 divisors (see below), whose sum is σ = 273252672000. Its totient is φ = 26025463296.

The previous prime is 100030030109. The next prime is 100030030129. The reversal of 100030030110 is 11030030001.

It is a super-2 number, since 2×1000300301102 (a number of 23 digits) contains 22 as substring.

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 = 100030030092 and 100030030101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11710221 + ... + 11718759.

It is an arithmetic number, because the mean of its divisors is an integer number (2134786500).

Almost surely, 2100030030110 is an apocalyptic number.

100030030110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100030030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136626336000).

100030030110 is an abundant number, since it is smaller than the sum of its proper divisors (173222641890).

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

100030030110 is a wasteful number, since it uses less digits than its factorization.

100030030110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9601 counting only the distinct ones).

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

Adding to 100030030110 its reverse (11030030001), we get a palindrome (111060060111).

The spelling of 100030030110 in words is "one hundred billion, thirty million, thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1009 1161 1290 1935 2018 2322 3027 3870 5045 5805 6054 8539 9081 10090 11610 15135 17078 18162 25617 27243 30270 42695 43387 45405 51234 54486 76851 85390 86774 90810 128085 130161 136215 153702 216935 230553 256170 260322 272430 367177 384255 390483 433870 461106 650805 734354 768510 780966 1101531 1152765 1171449 1301610 1835885 1952415 2203062 2305530 2342898 3304593 3671770 3904830 5507655 5857245 6609186 8615851 9913779 11015310 11714490 16522965 17231702 19827558 25847553 33045930 43079255 49568895 51695106 77542659 86158510 99137790 129237765 155085318 232627977 258475530 370481593 387713295 465255954 740963186 775426590 1111444779 1163139885 1852407965 2222889558 2326279770 3334334337 3704815930 5557223895 6668668674 10003003011 11114447790 16671671685 20006006022 33343343370 50015015055 100030030110