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1112122001100 = 22352111917737193
BaseRepresentation
bin10000001011101111101…
…000110000011011001100
310221022120200202020010110
4100023233220300123030
5121210111213013400
62210522442040020
7143230264015425
oct20135750603314
93838520666113
101112122001100
11399714970920
1215b6534a9010
1380b462b77a6
143bb813a264c
151dddecbee50
hex102efa306cc

1112122001100 has 144 divisors (see below), whose sum is σ = 3695012254080. Its totient is φ = 255415564800.

The previous prime is 1112122001087. The next prime is 1112122001129. The reversal of 1112122001100 is 11002212111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 8805897 + ... + 8931296.

It is an arithmetic number, because the mean of its divisors is an integer number (25659807320).

Almost surely, 21112122001100 is an apocalyptic number.

1112122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112122001100 is an abundant number, since it is smaller than the sum of its proper divisors (2582890252980).

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

1112122001100 is a wasteful number, since it uses less digits than its factorization.

1112122001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17737240 (or 17737233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112122001100 its reverse (11002212111), we get a palindrome (1123124213211).

The spelling of 1112122001100 in words is "one trillion, one hundred twelve billion, one hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 17737193 35474386 53211579 70948772 88685965 106423158 177371930 195109123 212846316 266057895 337006667 354743860 390218246 443429825 532115790 585327369 674013334 780436492 886859650 975545615 1011020001 1064231580 1170654738 1330289475 1348026668 1685033335 1773719300 1951091230 2022040002 2341309476 2660578950 2926636845 3370066670 3707073337 3902182460 4044080004 4877728075 5055100005 5321157900 5853273690 6740133340 7414146674 8425166675 9755456150 10110200010 11121220011 11706547380 14633184225 14828293348 16850333350 18535366685 19510912300 20220400020 22242440022 25275500025 29266368450 33700666700 37070733370 44484880044 50551000050 55606100055 58532736900 74141466740 92676833425 101102000100 111212200110 185353666850 222424400220 278030500275 370707333700 556061000550 1112122001100