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100220221110 = 23547719711031
BaseRepresentation
bin101110101010110010…
…1110011011010110110
3100120200112000201211010
41131111211303122312
53120222334033420
6114012431053050
710145356552362
oct1352545633266
9316615021733
10100220221110
113955977a519
121750b671186
1395b23269a9
144bca3c82a2
15291873a4e0
hex17559736b6

100220221110 has 128 divisors (see below), whose sum is σ = 249604374528. Its totient is φ = 25736816000.

The previous prime is 100220221103. The next prime is 100220221141. The reversal of 100220221110 is 11122022001.

It is a congruent 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, 97206295 + ... + 97207325.

It is an arithmetic number, because the mean of its divisors is an integer number (1950034176).

Almost surely, 2100220221110 is an apocalyptic number.

100220221110 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 100220221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124802187264).

100220221110 is an abundant number, since it is smaller than the sum of its proper divisors (149384153418).

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

100220221110 is a wasteful number, since it uses less digits than its factorization.

100220221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100220221110 its reverse (11122022001), we get a palindrome (111342243111).

The spelling of 100220221110 in words is "one hundred billion, two hundred twenty million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 710 971 1031 1065 1410 1942 2062 2130 2913 3093 3337 4855 5155 5826 6186 6674 9710 10011 10310 14565 15465 16685 20022 29130 30930 33370 45637 48457 50055 68941 73201 91274 96914 100110 136911 137882 145371 146402 206823 219603 228185 242285 273822 290742 344705 366005 413646 439206 456370 484570 684555 689410 726855 732010 1001101 1034115 1098015 1369110 1453710 2002202 2068230 2196030 3003303 3240227 3440447 5005505 6006606 6480454 6880894 9720681 10011010 10321341 15016515 16201135 17202235 19441362 20642682 30033030 32402270 34404470 47051747 48603405 51606705 71078171 94103494 97206810 103213410 141155241 142156342 213234513 235258735 282310482 355390855 426469026 470517470 705776205 710781710 1066172565 1411552410 2132345130 3340674037 6681348074 10022022111 16703370185 20044044222 33406740370 50110110555 100220221110