Search a number
-
+
1201120220100 = 2235243312017699
BaseRepresentation
bin10001011110101000010…
…110000001001111000100
311020211022010121012001210
4101132220112001033010
5124134343234020400
62315441554451420
7152530610262603
oct21365026011704
94224263535053
101201120220100
11423435062029
12174950893b70
138935a6c8038
14421c520ba3a
152139d217950
hex117a85813c4

1201120220100 has 144 divisors (see below), whose sum is σ = 3486620244800. Its totient is φ = 319251456000.

The previous prime is 1201120220077. The next prime is 1201120220159. The reversal of 1201120220100 is 10220211021.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156006051 + ... + 156013749.

Almost surely, 21201120220100 is an apocalyptic number.

1201120220100 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 1201120220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743310122400).

1201120220100 is an abundant number, since it is smaller than the sum of its proper divisors (2285500024700).

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

1201120220100 is a wasteful number, since it uses less digits than its factorization.

1201120220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1201120220100 its reverse (10220211021), we get a palindrome (1211340431121).

The spelling of 1201120220100 in words is "one trillion, two hundred one billion, one hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1201 1299 1732 2165 2402 2598 3603 4330 4804 5196 6005 6495 7206 7699 8660 10825 12010 12990 14412 15398 18015 21650 23097 24020 25980 30025 30796 32475 36030 38495 43300 46194 60050 64950 72060 76990 90075 92388 115485 120100 129900 153980 180150 192475 230970 360300 384950 461940 520033 577425 769900 1040066 1154850 1560099 2080132 2309700 2600165 3120198 3333667 5200330 6240396 6667334 7800495 9246499 10001001 10400660 13000825 13334668 15600990 16668335 18492998 20002002 26001650 27739497 31201980 33336670 36985996 39002475 40004004 46232495 50005005 52003300 55478994 66673340 78004950 83341675 92464990 100010010 110957988 138697485 156009900 166683350 184929980 200020020 231162475 250025025 277394970 333366700 462324950 500050050 554789940 693487425 924649900 1000100100 1386974850 2773949700 4003734067 8007468134 12011202201 16014936268 20018670335 24022404402 40037340670 48044808804 60056011005 80074681340 100093351675 120112022010 200186703350 240224044020 300280055025 400373406700 600560110050 1201120220100