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1351302120272 = 2413174352316993
BaseRepresentation
bin10011101010011111111…
…000100000001101010000
311210011221120100012001202
4103222133320200031100
5134114431320322042
62512440222050332
7166425345335216
oct23523770401520
94704846305052
101351302120272
114810a19004a5
12199a844199a8
139a572865220
1449590bcccb6
152523cc78632
hex13a9fe20350

1351302120272 has 160 divisors (see below), whose sum is σ = 3060848343168. Its totient is φ = 572210085888.

The previous prime is 1351302120269. The next prime is 1351302120317. The reversal of 1351302120272 is 2720212031531.

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 31 ways as a sum of consecutive naturals, for example, 79512608 + ... + 79529600.

Almost surely, 21351302120272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351302120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530424171584).

1351302120272 is an abundant number, since it is smaller than the sum of its proper divisors (1709546222896).

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

1351302120272 is a wasteful number, since it uses less digits than its factorization.

1351302120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 1351302120272 in words is "one trillion, three hundred fifty-one billion, three hundred two million, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 43 52 68 86 104 136 172 208 221 272 344 442 523 559 688 731 884 1046 1118 1462 1768 2092 2236 2924 3536 4184 4472 5848 6799 8368 8891 8944 9503 11696 13598 16993 17782 19006 22489 27196 33986 35564 38012 44978 54392 67972 71128 76024 89956 108784 115583 135944 142256 152048 179912 220909 231166 271888 288881 292357 359824 382313 441818 462332 577762 584714 730699 764626 883636 924664 1155524 1169428 1461398 1529252 1767272 1849328 2311048 2338856 2922796 3058504 3534544 3755453 4622096 4677712 4970069 5845592 6117008 7510906 8887339 9499087 9940138 11691184 12421883 15021812 17774678 18998174 19880276 24843766 30043624 35549356 37996348 39760552 49687532 60087248 71098712 75992696 79521104 99375064 115535407 142197424 151084763 151985392 161484479 198750128 231070814 302169526 322968958 382155577 462141628 604339052 645937916 764311154 924283256 1208678104 1291875832 1528622308 1848566512 1964101919 2417356208 2583751664 3057244616 3928203838 4968022501 6114489232 6496644809 7856407676 9936045002 12993289618 15712815352 19872090004 25986579236 31425630704 39744180008 51973158472 79488360016 84456382517 103946316944 168912765034 337825530068 675651060136 1351302120272