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100212303030 = 235722710312039
BaseRepresentation
bin101110101010100011…
…1100110010010110110
3100120122222010110020220
41131111013212102312
53120213322144110
6114011545235210
710145232343530
oct1352507462266
9316588113226
10100212303030
1139555261554
1217508a92b06
1395b07b3938
144bc9326850
152917bc4370
hex17551e64b6

100212303030 has 128 divisors (see below), whose sum is σ = 276482211840. Its totient is φ = 22771470720.

The previous prime is 100212302909. The next prime is 100212303031. The reversal of 100212303030 is 30303212001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212303031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49146751 + ... + 49148789.

It is an arithmetic number, because the mean of its divisors is an integer number (2160017280).

Almost surely, 2100212303030 is an apocalyptic number.

100212303030 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 100212303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138241105920).

100212303030 is an abundant number, since it is smaller than the sum of its proper divisors (176269908810).

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

100212303030 is a wasteful number, since it uses less digits than its factorization.

100212303030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100212303030 its reverse (30303212001), we get a palindrome (130515515031).

The spelling of 100212303030 in words is "one hundred billion, two hundred twelve million, three hundred three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 227 454 681 1031 1135 1362 1589 2039 2062 2270 3093 3178 3405 4078 4767 5155 6117 6186 6810 7217 7945 9534 10195 10310 12234 14273 14434 15465 15890 20390 21651 23835 28546 30585 30930 36085 42819 43302 47670 61170 71365 72170 85638 108255 142730 214095 216510 234037 428190 462853 468074 702111 925706 1170185 1388559 1404222 1638259 2102209 2314265 2340370 2777118 3239971 3276518 3510555 4204418 4628530 4914777 6306627 6479942 6942795 7021110 8191295 9719913 9829554 10511045 12613254 13885590 14715463 16199855 16382590 19439826 21022090 24573885 29430926 31533135 32399710 44146389 48599565 49147770 63066270 73577315 88292778 97199130 147154630 220731945 441463890 477201443 954402886 1431604329 2386007215 2863208658 3340410101 4772014430 6680820202 7158021645 10021230303 14316043290 16702050505 20042460606 33404101010 50106151515 100212303030