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121342481040 = 243511127735993
BaseRepresentation
bin111000100000010010…
…0110101001010010000
3102121012120021201021110
41301000210311022100
53442002133343130
6131424410253320
711523660033204
oct1610044651220
9377176251243
10121342481040
1147508737a90
121b625427240
13b59a377251
145c31764b04
153252c87ab0
hex1c40935290

121342481040 has 160 divisors (see below), whose sum is σ = 410690964096. Its totient is φ = 29392506880.

The previous prime is 121342481033. The next prime is 121342481041. The reversal of 121342481040 is 40184243121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121342480989 and 121342481007.

It is not an unprimeable number, because it can be changed into a prime (121342481041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3353284 + ... + 3389276.

Almost surely, 2121342481040 is an apocalyptic number.

121342481040 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 121342481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205345482048).

121342481040 is an abundant number, since it is smaller than the sum of its proper divisors (289348483056).

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

121342481040 is a wasteful number, since it uses less digits than its factorization.

121342481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37291 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 121342481040 in words is "one hundred twenty-one billion, three hundred forty-two million, four hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1277 1320 2554 2640 3831 5108 6385 7662 10216 12770 14047 15324 19155 20432 25540 28094 30648 35993 38310 42141 51080 56188 61296 70235 71986 76620 84282 102160 107979 112376 140470 143972 153240 168564 179965 210705 215958 224752 280940 287944 306480 337128 359930 395923 421410 431916 539895 561880 575888 674256 719860 791846 842820 863832 1079790 1123760 1187769 1439720 1583692 1685640 1727664 1979615 2159580 2375538 2879440 3167384 3371280 3959230 4319160 4751076 5938845 6334768 7918460 8638320 9502152 11877690 15836920 19004304 23755380 31673840 45963061 47510760 91926122 95021520 137889183 183852244 229815305 275778366 367704488 459630610 505593671 551556732 689445915 735408976 919261220 1011187342 1103113464 1378891830 1516781013 1838522440 2022374684 2206226928 2527968355 2757783660 3033562026 3677044880 4044749368 5055936710 5515567320 6067124052 7583905065 8089498736 10111873420 11031134640 12134248104 15167810130 20223746840 24268496208 30335620260 40447493680 60671240520 121342481040