Search a number
-
+
1100222020320 = 25356613467669
BaseRepresentation
bin10000000000101010010…
…101111011101011100000
310220011212100211120100120
4100000222111323223200
5121011223314122240
62201233544120240
7142326345604053
oct20005225735340
93804770746316
101100222020320
11394668714165
12159292166080
137c99aaa2447
143b372b7ca9a
151d945209ad0
hex1002a57bae0

1100222020320 has 96 divisors (see below), whose sum is σ = 3470943480480. Its totient is φ = 292948592640.

The previous prime is 1100222020319. The next prime is 1100222020349. The reversal of 1100222020320 is 230202220011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 1100222020320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1416555 + ... + 2051114.

It is an arithmetic number, because the mean of its divisors is an integer number (36155661255).

Almost surely, 21100222020320 is an apocalyptic number.

1100222020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100222020320 is an abundant number, since it is smaller than the sum of its proper divisors (2370721460160).

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

1100222020320 is a wasteful number, since it uses less digits than its factorization.

1100222020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468348 (or 3468340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1100222020320 its reverse (230202220011), we get a palindrome (1330424240331).

The spelling of 1100222020320 in words is "one trillion, one hundred billion, two hundred twenty-two million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 661 1322 1983 2644 3305 3966 5288 6610 7932 9915 10576 13220 15864 19830 21152 26440 31728 39660 52880 63456 79320 105760 158640 317280 3467669 6935338 10403007 13870676 17338345 20806014 27741352 34676690 41612028 52015035 55482704 69353380 83224056 104030070 110965408 138706760 166448112 208060140 277413520 332896224 416120280 554827040 832240560 1664481120 2292129209 4584258418 6876387627 9168516836 11460646045 13752775254 18337033672 22921292090 27505550508 34381938135 36674067344 45842584180 55011101016 68763876270 73348134688 91685168360 110022202032 137527752540 183370336720 220044404064 275055505080 366740673440 550111010160 1100222020320