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56055011100 = 223521137459091
BaseRepresentation
bin110100001101001000…
…111001011100011100
312100200120101121100020
4310031020321130130
51404300040323400
641430141232140
74023044506224
oct641510713434
9170616347306
1056055011100
1121855657560
12aa44862650
135394359a2a
1429da97d084
1516d12472a0
hexd0d23971c

56055011100 has 144 divisors (see below), whose sum is σ = 181712286336. Its totient is φ = 13221792000.

The previous prime is 56055011029. The next prime is 56055011101. The reversal of 56055011100 is 111055065.

It is a super-3 number, since 3×560550111003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56055011101) by changing a digit.

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, 107446 + ... + 351645.

Almost surely, 256055011100 is an apocalyptic number.

56055011100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56055011100 is an abundant number, since it is smaller than the sum of its proper divisors (125657275236).

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

56055011100 is a wasteful number, since it uses less digits than its factorization.

56055011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459156 (or 459149 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 56055011100 its reverse (111055065), we get a palindrome (56166066165).

The spelling of 56055011100 in words is "fifty-six billion, fifty-five million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 459091 918182 1377273 1836364 2295455 2754546 4590910 5050001 5509092 6886365 9181820 10100002 11477275 13772730 15150003 16986367 20200004 22954550 25250005 27545460 30300006 33972734 34431825 45909100 50500010 50959101 60600012 67945468 68863650 75750015 84931835 101000020 101918202 126250025 137727300 151500030 169863670 186850037 203836404 252500050 254795505 303000060 339727340 373700074 378750075 424659175 505000100 509591010 560550111 747400148 757500150 849318350 934250185 1019182020 1121100222 1273977525 1515000300 1698636700 1868500370 2242200444 2547955050 2802750555 3737000740 4671250925 5095910100 5605501110 9342501850 11211002220 14013752775 18685003700 28027505550 56055011100