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11220042215120 = 245313448084753
BaseRepresentation
bin1010001101000101111010…
…1000010110111011010000
31110201121220000220101022112
42203101132220112323100
52432312121301340440
635510225523524452
72235423051146354
oct243213650267320
943647800811275
1011220042215120
113636436362a62
121312629529728
13635078aab9cb
142ab0a53ab464
15146cd4437965
hexa345ea16ed0

11220042215120 has 40 divisors (see below), whose sum is σ = 26169941972616. Its totient is φ = 4473678163968.

The previous prime is 11220042215089. The next prime is 11220042215189. The reversal of 11220042215120 is 2151224002211.

It can be written as a sum of positive squares in 4 ways, for example, as 1397133456016 + 9822908759104 = 1182004^2 + 3134152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×112200422151202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224017337 + ... + 224067416.

Almost surely, 211220042215120 is an apocalyptic number.

11220042215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220042215120 is an abundant number, since it is smaller than the sum of its proper divisors (14949899757496).

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

11220042215120 is a wasteful number, since it uses less digits than its factorization.

11220042215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448085079 (or 448085073 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 11220042215120 its reverse (2151224002211), we get a palindrome (13371266217331).

The spelling of 11220042215120 in words is "eleven trillion, two hundred twenty billion, forty-two million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 3130 5008 6260 12520 25040 448084753 896169506 1792339012 2240423765 3584678024 4480847530 7169356048 8961695060 17923390120 35846780240 140250527689 280501055378 561002110756 701252638445 1122004221512 1402505276890 2244008443024 2805010553780 5610021107560 11220042215120