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1000242111000 = 233531130310367
BaseRepresentation
bin11101000111000110001…
…00110110001000011000
310112121210120222221100010
432203203010312020120
5112341443440023000
62043301015441520
7132156634443006
oct16434304661030
93477716887303
101000242111000
11356222660530
12141a2b0862a0
13734264a84a2
14365aa66ba76
151b042b3cd50
hexe8e3136218

1000242111000 has 128 divisors (see below), whose sum is σ = 3404460533760. Its totient is φ = 242482928000.

The previous prime is 1000242110971. The next prime is 1000242111017. The reversal of 1000242111000 is 1112420001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15122184 + ... + 15188183.

It is an arithmetic number, because the mean of its divisors is an integer number (26597347920).

Almost surely, 21000242111000 is an apocalyptic number.

1000242111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000242111000 is an abundant number, since it is smaller than the sum of its proper divisors (2404218422760).

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

1000242111000 is a wasteful number, since it uses less digits than its factorization.

1000242111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30310402 (or 30310388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000242111000 its reverse (1112420001), we get a palindrome (1001354531001).

The spelling of 1000242111000 in words is "one trillion, two hundred forty-two million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 30310367 60620734 90931101 121241468 151551835 181862202 242482936 303103670 333414037 363724404 454655505 606207340 666828074 727448808 757759175 909311010 1000242111 1212414680 1333656148 1515518350 1667070185 1818622020 2000484222 2273277525 2667312296 3031036700 3334140370 3637244040 3788795875 4000968444 4546555050 5001210555 6062073400 6668280740 7577591750 8001936888 8335350925 9093110100 10002421110 11366387625 13336561480 15155183500 16670701850 18186220200 20004842220 22732775250 25006052775 30310367000 33341403700 40009684440 41676754625 45465550500 50012105550 66682807400 83353509250 90931101000 100024211100 125030263875 166707018500 200048422200 250060527750 333414037000 500121055500 1000242111000