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1112221111100 = 22521111321142407
BaseRepresentation
bin10000001011110101100…
…010110101001100111100
310221022211121020112111012
4100023311202311030330
5121210312101023400
62210540342214352
7143232606313031
oct20136542651474
93838747215435
101112221111100
11399765904710
1215b6807243b8
1380b609a9168
143bb90601388
151dde884ad35
hex102f58b533c

1112221111100 has 144 divisors (see below), whose sum is σ = 2668882680576. Its totient is φ = 398955648000.

The previous prime is 1112221111091. The next prime is 1112221111187. The reversal of 1112221111100 is 11111222111.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26206097 + ... + 26248503.

It is an arithmetic number, because the mean of its divisors is an integer number (18533907504).

Almost surely, 21112221111100 is an apocalyptic number.

1112221111100 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 1112221111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334441340288).

1112221111100 is an abundant number, since it is smaller than the sum of its proper divisors (1556661569476).

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

1112221111100 is a wasteful number, since it uses less digits than its factorization.

1112221111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42756 (or 42749 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1112221111100 its reverse (11111222111), we get a palindrome (1123332333211).

The spelling of 1112221111100 in words is "one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 211 220 226 275 422 452 550 565 844 1055 1100 1130 1243 2110 2260 2321 2486 2825 4220 4642 4972 5275 5650 6215 9284 10550 11300 11605 12430 21100 23210 23843 24860 31075 42407 46420 47686 58025 62150 84814 95372 116050 119215 124300 169628 212035 232100 238430 262273 424070 466477 476860 524546 596075 848140 932954 1049092 1060175 1192150 1311365 1865908 2120350 2332385 2384300 2622730 4240700 4664770 4791991 5245460 6556825 8947877 9329540 9583982 11661925 13113650 17895754 19167964 23323850 23959955 26227300 35791508 44739385 46647700 47919910 52711901 89478770 95839820 98426647 105423802 119799775 178957540 196853294 210847604 223696925 239599550 263559505 393706588 447393850 479199100 492133235 527119010 894787700 984266470 1011110101 1054238020 1317797525 1968532940 2022220202 2460666175 2635595050 4044440404 4921332350 5055550505 5271190100 9842664700 10111101010 11122211111 20222202020 22244422222 25277752525 44488844444 50555505050 55611055555 101111010100 111222111110 222444222220 278055277775 556110555550 1112221111100