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100130153200 = 24527113250979
BaseRepresentation
bin101110101000000111…
…0001110001011110000
3100120110020112210212121
41131100032032023300
53120031304400300
6113555452404024
710143214154620
oct1352016161360
9316406483777
10100130153200
1139512952130
12174a5476614
13959977cb7c
144bbc460880
15291089881a
hex175038e2f0

100130153200 has 120 divisors (see below), whose sum is σ = 299922410880. Its totient is φ = 31209388800.

The previous prime is 100130153143. The next prime is 100130153213. The reversal of 100130153200 is 2351031001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1594690 + ... + 1656289.

It is an arithmetic number, because the mean of its divisors is an integer number (2499353424).

Almost surely, 2100130153200 is an apocalyptic number.

100130153200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100130153200 is an abundant number, since it is smaller than the sum of its proper divisors (199792257680).

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

100130153200 is a wasteful number, since it uses less digits than its factorization.

100130153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251015 (or 3251004 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 100130153200 its reverse (2351031001), we get a palindrome (102481184201).

It can be divided in two parts, 1001301 and 53200, that added together give a palindrome (1054501).

The spelling of 100130153200 in words is "one hundred billion, one hundred thirty million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 3250979 6501958 13003916 16254895 22756853 26007832 32509790 35760769 45513706 52015664 65019580 71521538 81274475 91027412 113784265 130039160 143043076 162548950 178803845 182054824 227568530 250325383 260078320 286086152 325097900 357607690 364109648 455137060 500650766 568921325 572172304 650195800 715215380 894019225 910274120 1001301532 1137842650 1251626915 1300391600 1430430760 1788038450 1820548240 2002603064 2275685300 2503253830 2860861520 3576076900 4005206128 4551370600 5006507660 6258134575 7152153800 9102741200 10013015320 12516269150 14304307600 20026030640 25032538300 50065076600 100130153200