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11331300023120 = 2457211262785251
BaseRepresentation
bin1010010011100100011000…
…0111001101101101010000
31111010021001210002121220002
42210321012013031231100
52441123000301214440
640033305524505132
72246442115002500
oct244710607155520
944107053077802
1011331300023120
113679639502910
1213300b954b1a8
136426c9a603ac
142b261b64ba00
15149b46b89115
hexa4e461cdb50

11331300023120 has 120 divisors (see below), whose sum is σ = 33432590900448. Its totient is φ = 3531833760000.

The previous prime is 11331300023093. The next prime is 11331300023159. The reversal of 11331300023120 is 2132000313311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11331300023092 and 11331300023101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131349506 + ... + 131435745.

Almost surely, 211331300023120 is an apocalyptic number.

11331300023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331300023120 is an abundant number, since it is smaller than the sum of its proper divisors (22101290877328).

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

11331300023120 is a wasteful number, since it uses less digits than its factorization.

11331300023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262785289 (or 262785276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11331300023120 its reverse (2132000313311), we get a palindrome (13463300336431).

The spelling of 11331300023120 in words is "eleven trillion, three hundred thirty-one billion, three hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5390 6160 8624 10780 21560 43120 262785251 525570502 1051141004 1313926255 1839496757 2102282008 2627852510 2890637761 3678993514 4204564016 5255705020 5781275522 7357987028 9197483785 10511410040 11562551044 12876477299 14453188805 14715974056 18394967570 20234464327 21022820080 23125102088 25752954598 28906377610 29431948112 36789935140 40468928654 46250204176 51505909196 57812755220 64382386495 73579870280 80937857308 101172321635 103011818392 115625510440 128764772990 141641250289 147159740560 161875714616 202344643270 206023636784 231251020880 257529545980 283282500578 323751429232 404689286540 515059091960 566565001156 708206251445 809378573080 1030118183920 1133130002312 1416412502890 1618757146160 2266260004624 2832825005780 5665650011560 11331300023120