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1004043221120 = 27511368320327
BaseRepresentation
bin11101001110001011010…
…00111011100010000000
310112222121111110100011102
432213011220323202000
5112422240031033440
62045130122433532
7132353061364502
oct16470550734200
93488544410142
101004043221120
113578a324a855
121427100628a8
13738b0b40c84
143684b40bd72
151b1b66c7b15
hexe9c5a3b880

1004043221120 has 128 divisors (see below), whose sum is σ = 2425197075840. Its totient is φ = 397460783104.

The previous prime is 1004043221117. The next prime is 1004043221147. The reversal of 1004043221120 is 211223404001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004043221092 and 1004043221101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49384397 + ... + 49404723.

It is an arithmetic number, because the mean of its divisors is an integer number (18946852155).

Almost surely, 21004043221120 is an apocalyptic number.

1004043221120 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 1004043221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212598537920).

1004043221120 is an abundant number, since it is smaller than the sum of its proper divisors (1421153854720).

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

1004043221120 is a wasteful number, since it uses less digits than its factorization.

1004043221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21142 (or 21130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1004043221120 its reverse (211223404001), we get a palindrome (1215266625121).

The spelling of 1004043221120 in words is "one trillion, four billion, forty-three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 683 904 1130 1366 1808 2260 2732 3415 3616 4520 5464 6830 7232 9040 10928 13660 14464 18080 20327 21856 27320 36160 40654 43712 54640 72320 77179 81308 87424 101635 109280 154358 162616 203270 218560 308716 325232 385895 406540 437120 617432 650464 771790 813080 1234864 1300928 1543580 1626160 2296951 2469728 2601856 3087160 3252320 4593902 4939456 6174320 6504640 9187804 9878912 11484755 12348640 13009280 13883341 18375608 22969510 24697280 27766682 36751216 45939020 49394560 55533364 69416705 73502432 91878040 111066728 138833410 147004864 183756080 222133456 277666820 294009728 367512160 444266912 555333640 735024320 888533824 1110667280 1470048640 1568817533 1777067648 2221334560 3137635066 4442669120 6275270132 7844087665 8885338240 12550540264 15688175330 25101080528 31376350660 50202161056 62752701320 100404322112 125505402640 200808644224 251010805280 502021610560 1004043221120