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1130004112320 = 26335130787513
BaseRepresentation
bin10000011100011001011…
…111100110001111000000
311000000201221002121011000
4100130121133212033000
5122003222023043240
62223041113452000
7144432361321446
oct20343137461700
94000657077130
101130004112320
113a6260953736
12163004111000
1382735c800a5
143c99a2a2b96
151e5d9b3d430
hex107197e63c0

1130004112320 has 112 divisors (see below), whose sum is σ = 3986403426720. Its totient is φ = 301334427648.

The previous prime is 1130004112313. The next prime is 1130004112339. The reversal of 1130004112320 is 232114000311.

1130004112320 is a `hidden beast` number, since 1 + 1 + 300 + 0 + 41 + 1 + 2 + 320 = 666.

It is a super-2 number, since 2×11300041123202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130004112293 and 1130004112302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65385117 + ... + 65402396.

Almost surely, 21130004112320 is an apocalyptic number.

1130004112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130004112320 is an abundant number, since it is smaller than the sum of its proper divisors (2856399314400).

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

1130004112320 is a wasteful number, since it uses less digits than its factorization.

1130004112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130787539 (or 130787523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130004112320 its reverse (232114000311), we get a palindrome (1362118112631).

The spelling of 1130004112320 in words is "one trillion, one hundred thirty billion, four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 130787513 261575026 392362539 523150052 653937565 784725078 1046300104 1177087617 1307875130 1569450156 1961812695 2092600208 2354175234 2615750260 3138900312 3531262851 3923625390 4185200416 4708350468 5231500520 5885438085 6277800624 7062525702 7847250780 8370400832 9416700936 10463001040 11770876170 12555601248 14125051404 15694501560 17656314255 18833401872 20926002080 23541752340 25111202496 28250102808 31389003120 35312628510 37666803744 41852004160 47083504680 56500205616 62778006240 70625257020 75333607488 94167009360 113000411232 125556012480 141250514040 188334018720 226000822464 282501028080 376668037440 565002056160 1130004112320