Search a number
-
+
11222101011120 = 243571658574003
BaseRepresentation
bin1010001101001101100101…
…0110000010101010110000
31110201211012111220001111020
42203103121112002222300
52432330330324323440
635511210111015440
72235525060502146
oct243233126025260
943654174801436
1011222101011120
1136372a250895a
121312b02b0a580
136353164a0cac
142ab21c9ad596
15146da50613d0
hexa34d9582ab0

11222101011120 has 80 divisors (see below), whose sum is σ = 35278492246272. Its totient is φ = 2950411528960.

The previous prime is 11222101011071. The next prime is 11222101011127. The reversal of 11222101011120 is 2111010122211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112221010111202 (a number of 27 digits) contains 22 as substring.

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 11222101011120.

It is not an unprimeable number, because it can be changed into a prime (11222101011127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 329269962 + ... + 329304041.

Almost surely, 211222101011120 is an apocalyptic number.

11222101011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222101011120 is an abundant number, since it is smaller than the sum of its proper divisors (24056391235152).

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

11222101011120 is a wasteful number, since it uses less digits than its factorization.

11222101011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658574090 (or 658574084 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11222101011120 its reverse (2111010122211), we get a palindrome (13333111133331).

The spelling of 11222101011120 in words is "eleven trillion, two hundred twenty-two billion, one hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 658574003 1317148006 1975722009 2634296012 3292870015 3951444018 5268592024 6585740030 7902888036 9878610045 10537184048 13171480060 15805776072 19757220090 26342960120 31611552144 39514440180 46758754213 52685920240 79028880360 93517508426 140276262639 158057760720 187035016852 233793771065 280552525278 374070033704 467587542130 561105050556 701381313195 748140067408 935175084260 1122210101112 1402762626390 1870350168520 2244420202224 2805525252780 3740700337040 5611050505560 11222101011120