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2042243322120 = 233454871129403
BaseRepresentation
bin11101101101111111001…
…100000001000100001000
321020020101110002221220000
4131231333030001010020
5231430003242301440
64202105454003000
7300355456550421
oct35557714010410
97206343087800
102042243322120
11718124128a51
1228b9731a6460
1311a776305c71
1470bb8d74648
15381cb8dc730
hex1db7f301108

2042243322120 has 160 divisors (see below), whose sum is σ = 6865668976320. Its totient is φ = 544482207360.

The previous prime is 2042243322113. The next prime is 2042243322157. The reversal of 2042243322120 is 212233422402.

2042243322120 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 433 + 221 + 2 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 15717339 + ... + 15846741.

It is an arithmetic number, because the mean of its divisors is an integer number (42910431102).

Almost surely, 22042243322120 is an apocalyptic number.

2042243322120 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 2042243322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432834488160).

2042243322120 is an abundant number, since it is smaller than the sum of its proper divisors (4823425654200).

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

2042243322120 is a wasteful number, since it uses less digits than its factorization.

2042243322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134297 (or 134284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042243322120 its reverse (212233422402), we get a palindrome (2254476744522).

The spelling of 2042243322120 in words is "two trillion, forty-two billion, two hundred forty-three million, three hundred twenty-two thousand, one 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 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 4871 9742 14613 19484 24355 29226 38968 43839 48710 58452 73065 87678 97420 116904 129403 131517 146130 175356 194840 219195 258806 263034 292260 350712 388209 394551 438390 517612 526068 584520 647015 657585 776418 789102 876780 1035224 1052136 1164627 1294030 1315170 1552836 1578204 1753560 1941045 1972755 2329254 2588060 2630340 3105672 3156408 3493881 3882090 3945510 4658508 5176120 5260680 5823135 6987762 7764180 7891020 9317016 10481643 11646270 13975524 15528360 15782040 17469405 20963286 23292540 27951048 34938810 41926572 46585080 52408215 69877620 83853144 104816430 139755240 209632860 419265720 630322013 1260644026 1890966039 2521288052 3151610065 3781932078 5042576104 5672898117 6303220130 7563864156 9454830195 11345796234 12606440260 15127728312 17018694351 18909660390 22691592468 25212880520 28364490585 34037388702 37819320780 45383184936 51056083053 56728981170 68074777404 75638641560 85093471755 102112166106 113457962340 136149554808 170186943510 204224332212 226915924680 255280415265 340373887020 408448664424 510560830530 680747774040 1021121661060 2042243322120