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11132222311100 = 22521123440008787
BaseRepresentation
bin1010000111111110110000…
…1010000000101010111100
31110102020012201021000122202
42201333230022000222330
52424342242402423400
635402023342331032
72226163563242642
oct241775412005274
943366181230582
1011132222311100
113602170307290
1212b95ba889a78
136299c183c567
142a6b33c49192
151448946954d5
hexa1fec280abc

11132222311100 has 72 divisors (see below), whose sum is σ = 27498789214848. Its totient is φ = 3872077316800.

The previous prime is 11132222311073. The next prime is 11132222311109. The reversal of 11132222311100 is 111322223111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132222311109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219979094 + ... + 220029693.

It is an arithmetic number, because the mean of its divisors is an integer number (381927627984).

Almost surely, 211132222311100 is an apocalyptic number.

11132222311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132222311100 is an abundant number, since it is smaller than the sum of its proper divisors (16366566903748).

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

11132222311100 is a wasteful number, since it uses less digits than its factorization.

11132222311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440008835 (or 440008828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11132222311100 its reverse (111322223111), we get a palindrome (11243544534211).

11132222311100 divided by its reverse (111322223111) gives a square (100 = 102).

It can be divided in two parts, 111322 and 22311100, that added together give a palindrome (22422422).

The spelling of 11132222311100 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 440008787 880017574 1760035148 2200043935 4400087870 4840096657 8800175740 9680193314 10120202101 11000219675 19360386628 20240404202 22000439350 24200483285 40480808404 44000878700 48400966570 50601010505 96801933140 101202021010 111322223111 121002416425 202404042020 222644446222 242004832850 253005052525 445288892444 484009665700 506010105050 556611115555 1012020210100 1113222231110 2226444462220 2783055577775 5566111155550 11132222311100