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1130411142300 = 2235211477288273
BaseRepresentation
bin10000011100110001110…
…000010010110010011100
311000001210021222212022110
4100130301300102302130
5122010040223023200
62223145333514020
7144445433112666
oct20346160226234
94001707885273
101130411142300
113a644a690350
121630b84a2910
138279c3b342b
143c9d8377536
151e61073eb50
hex10731c12c9c

1130411142300 has 144 divisors (see below), whose sum is σ = 3643903775232. Its totient is φ = 268208409600.

The previous prime is 1130411142283. The next prime is 1130411142313. The reversal of 1130411142300 is 32411140311.

It is a super-3 number, since 3×11304111423003 (a number of 37 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3489037 + ... + 3799236.

It is an arithmetic number, because the mean of its divisors is an integer number (25304887328).

Almost surely, 21130411142300 is an apocalyptic number.

1130411142300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130411142300 is an abundant number, since it is smaller than the sum of its proper divisors (2513492632932).

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

1130411142300 is a wasteful number, since it uses less digits than its factorization.

1130411142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288348 (or 7288341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1130411142300 its reverse (32411140311), we get a palindrome (1162822282611).

The spelling of 1130411142300 in words is "one trillion, one hundred thirty billion, four hundred eleven million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 155100 7288273 14576546 21864819 29153092 36441365 43729638 72882730 80171003 87459276 109324095 145765460 160342006 182206825 218648190 240513009 320684012 342548831 364413650 400855015 437296380 481026018 546620475 685097662 728827300 801710030 962052036 1027646493 1093240950 1202565045 1370195324 1603420060 1712744155 2004275075 2055292986 2186481900 2405130090 3425488310 3768037141 4008550150 4110585972 4810260180 5138232465 6012825225 6850976620 7536074282 8017100300 8563720775 10276464930 11304111423 12025650450 15072148564 17127441550 18840185705 20552929860 22608222846 24051300900 25691162325 34254883100 37680371410 45216445692 51382324650 56520557115 75360742820 94200928525 102764649300 113041114230 188401857050 226082228460 282602785575 376803714100 565205571150 1130411142300