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100223100330 = 235174719921011
BaseRepresentation
bin101110101010111000…
…0110010010110101010
3100120200201110000100220
41131111300302112222
53120224103202310
6114013012510510
710145423203533
oct1352560622652
9316621400326
10100223100330
1139560366741
121751061b436
1395b2ac4382
144bca93768a
152918b08670
hex1755c325aa

100223100330 has 128 divisors (see below), whose sum is σ = 261422899200. Its totient is φ = 24493962240.

The previous prime is 100223100319. The next prime is 100223100379. The reversal of 100223100330 is 33001322001.

It is a super-2 number, since 2×1002231003302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4759525 + ... + 4780535.

It is an arithmetic number, because the mean of its divisors is an integer number (2042366400).

Almost surely, 2100223100330 is an apocalyptic number.

100223100330 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 100223100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130711449600).

100223100330 is an abundant number, since it is smaller than the sum of its proper divisors (161199798870).

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

100223100330 is a wasteful number, since it uses less digits than its factorization.

100223100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21284.

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

Adding to 100223100330 its reverse (33001322001), we get a palindrome (133224422331).

The spelling of 100223100330 in words is "one hundred billion, two hundred twenty-three million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 199 235 255 282 398 470 510 597 705 799 995 1194 1410 1598 1990 2397 2985 3383 3995 4794 5970 6766 7990 9353 10149 11985 16915 18706 20298 21011 23970 28059 33830 42022 46765 50745 56118 63033 93530 101490 105055 126066 140295 159001 210110 280590 315165 318002 357187 477003 630330 714374 795005 954006 987517 1071561 1590010 1785935 1975034 2143122 2385015 2962551 3571870 4181189 4770030 4937585 5357805 5925102 8362378 9875170 10715610 12543567 14812755 16787789 20905945 25087134 29625510 33575578 41811890 50363367 62717835 71080213 83938945 100726734 125435670 142160426 167877890 196515883 213240639 251816835 355401065 393031766 426481278 503633670 589547649 710802130 982579415 1066203195 1179095298 1965158830 2132406390 2947738245 3340770011 5895476490 6681540022 10022310033 16703850055 20044620066 33407700110 50111550165 100223100330