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1320101156340 = 223451575190301
BaseRepresentation
bin10011001101011100001…
…010010001010111110100
311200012102010012222220000
4103031130022101113310
5133112031344000330
62450240205111300
7164242223454621
oct23153412212764
94605363188800
101320101156340
1146994076249a
12193a17258530
139763c72bca5
1447c71083348
15245139c3560
hex1335c2915f4

1320101156340 has 120 divisors (see below), whose sum is σ = 4167584132712. Its totient is φ = 349784697600.

The previous prime is 1320101156323. The next prime is 1320101156443. The reversal of 1320101156340 is 436511010231.

It is a happy number.

1320101156340 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 10 + 1 + 15 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193862328804 + 1126238827536 = 440298^2 + 1061244^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2340811 + ... + 2849490.

Almost surely, 21320101156340 is an apocalyptic number.

1320101156340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320101156340 is an abundant number, since it is smaller than the sum of its proper divisors (2847482976372).

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

1320101156340 is a wasteful number, since it uses less digits than its factorization.

1320101156340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190479 (or 5190468 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1320101156340 its reverse (436511010231), we get a palindrome (1756612166571).

The spelling of 1320101156340 in words is "one trillion, three hundred twenty billion, one hundred one million, one hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 270 314 324 405 471 540 628 785 810 942 1413 1570 1620 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 12717 14130 16956 21195 25434 28260 42390 50868 63585 84780 127170 254340 5190301 10380602 15570903 20761204 25951505 31141806 46712709 51903010 62283612 77854515 93425418 103806020 140138127 155709030 186850836 233563545 280276254 311418060 420414381 467127090 560552508 700690635 814877257 840828762 934254180 1401381270 1629754514 1681657524 2102071905 2444631771 2802762540 3259509028 4074386285 4204143810 4889263542 7333895313 8148772570 8408287620 9778527084 12223158855 14667790626 16297545140 22001685939 24446317710 29335581252 36669476565 44003371878 48892635420 66005057817 73338953130 88006743756 110008429695 132010115634 146677906260 220016859390 264020231268 330025289085 440033718780 660050578170 1320101156340