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1122022121100 = 2235243531641103
BaseRepresentation
bin10000010100111101101…
…110101101111010001100
310222021010122120102122120
4100110331232231322030
5121340400130333400
62215241100012540
7144030516445146
oct20247556557214
93867118512576
101122022121100
113a2935266581
12161556b31150
1381a633a3c6a
143c440165c96
151e2bdeedca0
hex1053dbade8c

1122022121100 has 144 divisors (see below), whose sum is σ = 3384560374272. Its totient is φ = 286733341440.

The previous prime is 1122022121081. The next prime is 1122022121117. The reversal of 1122022121100 is 11212202211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122022121100.

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, 136852 + ... + 1504251.

It is an arithmetic number, because the mean of its divisors is an integer number (23503891488).

Almost surely, 21122022121100 is an apocalyptic number.

1122022121100 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 1122022121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692280187136).

1122022121100 is an abundant number, since it is smaller than the sum of its proper divisors (2262538253172).

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

1122022121100 is a wasteful number, since it uses less digits than its factorization.

1122022121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641216 (or 1641209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122022121100 its reverse (11212202211), we get a palindrome (1133234323311).

The spelling of 1122022121100 in words is "one trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 53 60 75 86 100 106 129 150 159 172 212 215 258 265 300 318 430 516 530 636 645 795 860 1060 1075 1290 1325 1590 2150 2279 2580 2650 3180 3225 3975 4300 4558 5300 6450 6837 7950 9116 11395 12900 13674 15900 22790 27348 34185 45580 56975 68370 113950 136740 170925 227900 341850 683700 1641103 3282206 4923309 6564412 8205515 9846618 16411030 19693236 24616545 32822060 41027575 49233090 70567429 82055150 86978459 98466180 123082725 141134858 164110300 173956918 211702287 246165450 260935377 282269716 347913836 352837145 423404574 434892295 492330900 521870754 705674290 846809148 869784590 1043741508 1058511435 1304676885 1411348580 1739569180 1764185725 2117022870 2174461475 2609353770 3528371450 3740073737 4234045740 4348922950 5218707540 5292557175 6523384425 7056742900 7480147474 8697845900 10585114350 11220221211 13046768850 14960294948 18700368685 21170228700 22440442422 26093537700 37400737370 44880884844 56101106055 74801474740 93501843425 112202212110 187003686850 224404424220 280505530275 374007373700 561011060550 1122022121100