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11131434130340 = 22546150912171949
BaseRepresentation
bin1010000111111011110100…
…1011010101101110100100
31110102011011210011021220202
42201332331023111232210
52424334134114132330
635401413225050032
72226135212643566
oct241767513255644
943364153137822
1011131434130340
1136018a6409427
1212b941a926918
136298c7467304
142a6a9b2b9336
1514484a3a5445
hexa1fbd2d5ba4

11131434130340 has 96 divisors (see below), whose sum is σ = 23504084604000. Its totient is φ = 4428269649920.

The previous prime is 11131434130331. The next prime is 11131434130357. The reversal of 11131434130340 is 4303143413111.

It can be written as a sum of positive squares in 16 ways, for example, as 1008702852964 + 10122731277376 = 1004342^2 + 3181624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5711355686 + ... + 5711357634.

It is an arithmetic number, because the mean of its divisors is an integer number (244834214625).

Almost surely, 211131434130340 is an apocalyptic number.

11131434130340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131434130340 is an abundant number, since it is smaller than the sum of its proper divisors (12372650473660).

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

11131434130340 is a wasteful number, since it uses less digits than its factorization.

11131434130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 11131434130340 its reverse (4303143413111), we get a palindrome (15434577543451).

The spelling of 11131434130340 in words is "eleven trillion, one hundred thirty-one billion, four hundred thirty-four million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 461 509 922 1018 1217 1844 1949 2036 2305 2434 2545 3898 4610 4868 5090 6085 7796 9220 9745 10180 12170 19490 24340 38980 234649 469298 561037 619453 898489 938596 992041 1122074 1173245 1238906 1796978 1984082 2244148 2346490 2371933 2477812 2805185 3097265 3593956 3968164 4492445 4692980 4743866 4960205 5610370 6194530 8984890 9487732 9920410 11220740 11859665 12389060 17969780 19840820 23719330 47438660 285567833 457330901 571135666 914661802 1093461113 1142271332 1207313897 1427839165 1829323604 2186922226 2286654505 2414627794 2855678330 4373844452 4573309010 4829255588 5467305565 5711356660 6036569485 9146618020 10934611130 12073138970 21869222260 24146277940 556571706517 1113143413034 2226286826068 2782858532585 5565717065170 11131434130340