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1220330402040 = 2335311993164599
BaseRepresentation
bin10001110000100001010…
…111000011000011111000
311022122212220221112121210
4101300201113003003320
5124443214040331130
62332340111403120
7154110632161131
oct21604127030370
94278786845553
101220330402040
114305a2775052
121786122234a0
138b0cc5763b9
14430c8658c88
1521b2496d5b0
hex11c215c30f8

1220330402040 has 128 divisors (see below), whose sum is σ = 3781006848000. Its totient is φ = 314764047360.

The previous prime is 1220330402023. The next prime is 1220330402063. The reversal of 1220330402040 is 402040330221.

It is a junction number, because it is equal to n+sod(n) for n = 1220330401998 and 1220330402016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7331661 + ... + 7496259.

It is an arithmetic number, because the mean of its divisors is an integer number (29539116000).

Almost surely, 21220330402040 is an apocalyptic number.

1220330402040 is a gapful number since it is divisible by the number (10) 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 1220330402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890503424000).

1220330402040 is an abundant number, since it is smaller than the sum of its proper divisors (2560676445960).

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

1220330402040 is a wasteful number, since it uses less digits than its factorization.

1220330402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166637 (or 166633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1220330402040 its reverse (402040330221), we get a palindrome (1622370732261).

The spelling of 1220330402040 in words is "one trillion, two hundred twenty billion, three hundred thirty million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 1993 3720 3986 5979 7972 9965 11958 15944 19930 23916 29895 39860 47832 59790 61783 79720 119580 123566 164599 185349 239160 247132 308915 329198 370698 493797 494264 617830 658396 741396 822995 926745 987594 1235660 1316792 1482792 1645990 1853490 1975188 2468985 2471320 3291980 3706980 3950376 4937970 5102569 6583960 7413960 9875940 10205138 15307707 19751880 20410276 25512845 30615414 40820552 51025690 61230828 76538535 102051380 122461656 153077070 204102760 306154140 328045807 612308280 656091614 984137421 1312183228 1640229035 1968274842 2624366456 3280458070 3936549684 4920687105 6560916140 7873099368 9841374210 10169420017 13121832280 19682748420 20338840034 30508260051 39365496840 40677680068 50847100085 61016520102 81355360136 101694200170 122033040204 152541300255 203388400340 244066080408 305082600510 406776800680 610165201020 1220330402040