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101010132300 = 223527114372733
BaseRepresentation
bin101111000010010101…
…1000100110101001100
3100122201120101101021010
41132010223010311030
53123332043213200
6114223045405220
710204060646430
oct1360453046514
9318646341233
10101010132300
113992464a490
12176b0109810
1396a9b8676c
144c632889c0
152962c6d150
hex1784ac4d4c

101010132300 has 144 divisors (see below), whose sum is σ = 364371178752. Its totient is φ = 20989113600.

The previous prime is 101010132277. The next prime is 101010132317. The reversal of 101010132300 is 3231010101.

It is a super-3 number, since 3×1010101323003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2163267 + ... + 2209466.

It is an arithmetic number, because the mean of its divisors is an integer number (2530355408).

Almost surely, 2101010132300 is an apocalyptic number.

101010132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010132300 is an abundant number, since it is smaller than the sum of its proper divisors (263361046452).

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

101010132300 is a wasteful number, since it uses less digits than its factorization.

101010132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372768 (or 4372761 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101010132300 its reverse (3231010101), we get a palindrome (104241142401).

It can be divided in two parts, 1010101 and 32300, that added together give a palindrome (1042401).

The spelling of 101010132300 in words is "one hundred one billion, ten million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 4372733 8745466 13118199 17490932 21863665 26236398 30609131 43727330 48100063 52472796 61218262 65590995 87454660 91827393 96200126 109318325 122436524 131181990 144300189 153045655 183654786 192400252 218636650 240500315 262363980 288600378 306091310 327954975 336700441 367309572 437273300 459136965 481000630 577200756 612182620 655909950 673400882 721500945 765228275 918273930 962001260 1010101323 1202501575 1311819900 1346801764 1443001890 1530456550 1683502205 1836547860 2020202646 2295684825 2405003150 2886003780 3060913100 3367004410 3607504725 4040405292 4591369650 4810006300 5050506615 6734008820 7215009450 8417511025 9182739300 10101013230 14430018900 16835022050 20202026460 25252533075 33670044100 50505066150 101010132300