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100021020330 = 23571145979419
BaseRepresentation
bin101110100100110110…
…1111010011010101010
3100120011122012021201110
41131021231322122222
53114320340122310
6113540553331150
710140420434160
oct1351155723252
9316148167643
10100021020330
1139467292a80
1217474a06ab6
13957cc8c3ca
144babb73230
152905edcd20
hex1749b7a6aa

100021020330 has 128 divisors (see below), whose sum is σ = 299380561920. Its totient is φ = 20776861440.

The previous prime is 100021020247. The next prime is 100021020347. The reversal of 100021020330 is 33020120001.

It is a happy number.

It is a Curzon 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, 10614361 + ... + 10623779.

It is an arithmetic number, because the mean of its divisors is an integer number (2338910640).

Almost surely, 2100021020330 is an apocalyptic number.

100021020330 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 100021020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149690280960).

100021020330 is an abundant number, since it is smaller than the sum of its proper divisors (199359541590).

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

100021020330 is a wasteful number, since it uses less digits than its factorization.

100021020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044.

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

Adding to 100021020330 its reverse (33020120001), we get a palindrome (133041140331).

The spelling of 100021020330 in words is "one hundred billion, twenty-one million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4597 9194 9419 13791 18838 22985 27582 28257 32179 45970 47095 50567 56514 64358 65933 68955 94190 96537 101134 103609 131866 137910 141285 151701 160895 193074 197799 207218 252835 282570 303402 310827 321790 329665 353969 395598 482685 505670 518045 621654 659330 707938 725263 758505 965370 988995 1036090 1061907 1450526 1517010 1554135 1769845 1977990 2123814 2175789 3108270 3539690 3626315 4351578 5309535 7252630 10619070 10878945 21757890 43299143 86598286 129897429 216495715 259794858 303094001 432991430 476290573 606188002 649487145 909282003 952581146 1298974290 1428871719 1515470005 1818564006 2381452865 2857743438 3030940010 3334034011 4546410015 4762905730 6668068022 7144358595 9092820030 10002102033 14288717190 16670170055 20004204066 33340340110 50010510165 100021020330