Search a number
-
+
1112022110100 = 22352111719822141
BaseRepresentation
bin10000001011101001101…
…011101100111110010100
310221022022201210020102210
4100023221223230332110
5121204410130010400
62210504513033420
7143224641656136
oct20135153547624
93838281706383
101112022110100
11399673544280
1215b625b55870
1380b2b6b17a5
143bb71ddd056
151ddd613c950
hex102e9aecf94

1112022110100 has 144 divisors (see below), whose sum is σ = 3716413759296. Its totient is φ = 253723392000.

The previous prime is 1112022110047. The next prime is 1112022110123. The reversal of 1112022110100 is 10112202111.

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

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, 9854971 + ... + 9967170.

It is an arithmetic number, because the mean of its divisors is an integer number (25808428884).

Almost surely, 21112022110100 is an apocalyptic number.

1112022110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112022110100 is an abundant number, since it is smaller than the sum of its proper divisors (2604391649196).

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

1112022110100 is a wasteful number, since it uses less digits than its factorization.

1112022110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19822186 (or 19822179 counting only the distinct ones).

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

Adding to 1112022110100 its reverse (10112202111), we get a palindrome (1122134312211).

The spelling of 1112022110100 in words is "one trillion, one hundred twelve billion, twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 19822141 39644282 59466423 79288564 99110705 118932846 198221410 218043551 237865692 297332115 336976397 396442820 436087102 495553525 594664230 654130653 673952794 872174204 991107050 1010929191 1090217755 1189328460 1308261306 1347905588 1486660575 1684881985 1982214100 2021858382 2180435510 2616522612 2973321150 3270653265 3369763970 3706740367 4043716764 4360871020 5054645955 5451088775 5946642300 6541306530 6739527940 7413480734 8424409925 10109291910 10902177550 11120221101 13082613060 14826961468 16353266325 16848819850 18533701835 20218583820 21804355100 22240442202 25273229775 32706532650 33697639700 37067403670 44480884404 50546459550 55601105505 65413065300 74134807340 92668509175 101092919100 111202211010 185337018350 222404422020 278005527525 370674036700 556011055050 1112022110100