Search a number
-
+
1220110121100 = 22352131132768573
BaseRepresentation
bin10001110000010100001…
…110101111100010001100
311022122022120110002222110
4101300110032233202030
5124442241142333400
62332302202144020
7154102315624503
oct21602416574214
94278276402873
101220110121100
1143049a39a792
121785704b2010
138b095a3ab50
14430a72b783a
1521b10459e50
hex11c143af88c

1220110121100 has 144 divisors (see below), whose sum is σ = 3835383082272. Its totient is φ = 297676861440.

The previous prime is 1220110121089. The next prime is 1220110121123. The reversal of 1220110121100 is 11210110221.

It is a super-2 number, since 2×12201101211002 (a number of 25 digits) contains 22 as substring.

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

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, 943587 + ... + 1824986.

It is an arithmetic number, because the mean of its divisors is an integer number (26634604738).

Almost surely, 21220110121100 is an apocalyptic number.

1220110121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220110121100 is an abundant number, since it is smaller than the sum of its proper divisors (2615272961172).

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

1220110121100 is a wasteful number, since it uses less digits than its factorization.

1220110121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768716 (or 2768709 counting only the distinct ones).

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

Adding to 1220110121100 its reverse (11210110221), we get a palindrome (1231320231321).

It can be divided in two parts, 1220110121 and 100, that added together give a palindrome (1220110221).

The spelling of 1220110121100 in words is "one trillion, two hundred twenty billion, one hundred ten million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 29380 33900 36725 44070 73450 88140 110175 146900 220350 440700 2768573 5537146 8305719 11074292 13842865 16611438 27685730 33222876 35991449 41528595 55371460 69214325 71982898 83057190 107974347 138428650 143965796 166114380 179957245 207642975 215948694 276857300 312848749 359914490 415285950 431897388 539871735 625697498 719828980 830571900 899786225 938546247 1079743470 1251394996 1564243745 1799572450 1877092494 2159486940 2699358675 3128487490 3599144900 3754184988 4067033737 4692731235 5398717350 6256974980 7821218725 8134067474 9385462470 10797434700 12201101211 15642437450 16268134948 18770924940 20335168685 23463656175 24402202422 31284874900 40670337370 46927312350 48804404844 61005506055 81340674740 93854624700 101675843425 122011012110 203351686850 244022024220 305027530275 406703373700 610055060550 1220110121100