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100110200220 = 223254771166667
BaseRepresentation
bin101110100111100001…
…0000110110110011100
3100120101212000002112100
41131033002012312130
53120011202401340
6113553501005100
710142552442642
oct1351702066634
9316355002470
10100110200220
1139502664168
121749a853790
1395955b4c84
144bb9949192
15290dc56830
hex174f086d9c

100110200220 has 144 divisors (see below), whose sum is σ = 314498515968. Its totient is φ = 25759896960.

The previous prime is 100110200191. The next prime is 100110200227. The reversal of 100110200220 is 22002011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110200227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 517327 + ... + 683993.

It is an arithmetic number, because the mean of its divisors is an integer number (2184017472).

Almost surely, 2100110200220 is an apocalyptic number.

100110200220 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 100110200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157249257984).

100110200220 is an abundant number, since it is smaller than the sum of its proper divisors (214388315748).

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

100110200220 is a wasteful number, since it uses less digits than its factorization.

100110200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166800 (or 166795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100110200220 its reverse (22002011001), we get a palindrome (122112211221).

The spelling of 100110200220 in words is "one hundred billion, one hundred ten million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 71 90 94 141 142 180 188 213 235 282 284 355 423 426 470 564 639 705 710 846 852 940 1065 1278 1410 1420 1692 2115 2130 2556 2820 3195 3337 4230 4260 6390 6674 8460 10011 12780 13348 16685 20022 30033 33370 40044 50055 60066 66740 100110 120132 150165 166667 200220 300330 333334 500001 600660 666668 833335 1000002 1500003 1666670 2000004 2500005 3000006 3333340 5000010 6000012 7500015 7833349 10000020 11833357 15000030 15666698 23500047 23666714 30000060 31333396 35500071 39166745 47000094 47333428 59166785 70500141 71000142 78333490 94000188 106500213 117500235 118333570 141000282 142000284 156666980 177500355 213000426 235000470 236667140 282000564 352500705 355000710 426000852 470000940 532501065 556167779 705001410 710001420 1065002130 1112335558 1410002820 1668503337 2130004260 2224671116 2780838895 3337006674 5005510011 5561677790 6674013348 8342516685 10011020022 11123355580 16685033370 20022040044 25027550055 33370066740 50055100110 100110200220