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2120013031320 = 2333512771537177
BaseRepresentation
bin11110110110011010100…
…111111010011110011000
321111200010100112112002000
4132312122213322132120
5234213241314000240
64301530500441000
7306110620303452
oct36663247723630
97450110475060
102120013031320
117481020a6598
122a2a580a9160
13124bbb361c82
14748758292d2
153a22e1a9430
hex1ed9a9fa798

2120013031320 has 128 divisors (see below), whose sum is σ = 7072248542400. Its totient is φ = 564893733888.

The previous prime is 2120013031319. The next prime is 2120013031321. The reversal of 2120013031320 is 231303100212.

2120013031320 is a `hidden beast` number, since 2 + 1 + 200 + 130 + 313 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2120013031319) and next prime (2120013031321).

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 = 2120013031293 and 2120013031302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120013031321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610572 + ... + 2147748.

Almost surely, 22120013031320 is an apocalyptic number.

2120013031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120013031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536124271200).

2120013031320 is an abundant number, since it is smaller than the sum of its proper divisors (4952235511080).

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

2120013031320 is a wasteful number, since it uses less digits than its factorization.

2120013031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538474 (or 1538464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2120013031320 its reverse (231303100212), we get a palindrome (2351316131532).

The spelling of 2120013031320 in words is "two trillion, one hundred twenty billion, thirteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1277 2554 3831 5108 6385 7662 10216 11493 12770 15324 19155 22986 25540 30648 34479 38310 45972 51080 57465 68958 76620 91944 114930 137916 153240 172395 229860 275832 344790 459720 689580 1379160 1537177 3074354 4611531 6148708 7685885 9223062 12297416 13834593 15371770 18446124 23057655 27669186 30743540 36892248 41503779 46115310 55338372 61487080 69172965 83007558 92230620 110676744 138345930 166015116 184461240 207518895 276691860 332030232 415037790 553383720 830075580 1660151160 1962975029 3925950058 5888925087 7851900116 9814875145 11777850174 15703800232 17666775261 19629750290 23555700348 29444625435 35333550522 39259500580 47111400696 53000325783 58889250870 70667101044 78519001160 88333876305 106000651566 117778501740 141334202088 176667752610 212001303132 235557003480 265001628915 353335505220 424002606264 530003257830 706671010440 1060006515660 2120013031320