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100130220300 = 223521167452873
BaseRepresentation
bin101110101000000111…
…0011110100100001100
3100120110020200012220210
41131100032132210030
53120031314022200
6113555454042420
710143214554345
oct1352016364414
9316406605823
10100130220300
1139512998590
12174a54a9410
1395997a4586
144bbc47b0cc
1529108ad650
hex175039e90c

100130220300 has 144 divisors (see below), whose sum is σ = 320765219712. Its totient is φ = 23911641600.

The previous prime is 100130220287. The next prime is 100130220319. The reversal of 100130220300 is 3022031001.

It is a happy number.

It is a super-2 number, since 2×1001302203002 (a number of 23 digits) contains 22 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, 5337 + ... + 447536.

It is an arithmetic number, because the mean of its divisors is an integer number (2227536248).

Almost surely, 2100130220300 is an apocalyptic number.

100130220300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160382609856).

100130220300 is an abundant number, since it is smaller than the sum of its proper divisors (220634999412).

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

100130220300 is a wasteful number, since it uses less digits than its factorization.

100130220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452968 (or 452961 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100130220300 its reverse (3022031001), we get a palindrome (103152251301).

The spelling of 100130220300 in words is "one hundred billion, one hundred thirty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 67 75 100 110 132 134 150 165 201 220 268 275 300 330 335 402 550 660 670 737 804 825 1005 1100 1340 1474 1650 1675 2010 2211 2948 3300 3350 3685 4020 4422 5025 6700 7370 8844 10050 11055 14740 18425 20100 22110 36850 44220 55275 73700 110550 221100 452873 905746 1358619 1811492 2264365 2717238 4528730 4981603 5434476 6793095 9057460 9963206 11321825 13586190 14944809 19926412 22643650 24908015 27172380 29889618 30342491 33965475 45287300 49816030 59779236 60684982 67930950 74724045 91027473 99632060 121369964 124540075 135861900 149448090 151712455 182054946 249080150 298896180 303424910 333767401 364109892 373620225 455137365 498160300 606849820 667534802 747240450 758562275 910274730 1001302203 1335069604 1494480900 1517124550 1668837005 1820549460 2002604406 2275686825 3034249100 3337674010 4005208812 4551373650 5006511015 6675348020 8344185025 9102747300 10013022030 16688370050 20026044060 25032555075 33376740100 50065110150 100130220300