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1002001222000 = 24534311651177
BaseRepresentation
bin11101001010010111110…
…11010100100101110000
310112210100012002000222101
432211023323110211300
5112404044303101000
62044151335350144
7132251344600342
oct16451373244560
93483305060871
101002001222000
11356a45627679
12142240222354
1373646a8017c
14366d613d292
151b0e72bae6a
hexe94bed4970

1002001222000 has 80 divisors (see below), whose sum is σ = 2479184259552. Its totient is φ = 391479513600.

The previous prime is 1002001221919. The next prime is 1002001222007. The reversal of 1002001222000 is 2221002001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739589 + ... + 5911588.

Almost surely, 21002001222000 is an apocalyptic number.

1002001222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001222000 is an abundant number, since it is smaller than the sum of its proper divisors (1477183037552).

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

1002001222000 is a wasteful number, since it uses less digits than its factorization.

1002001222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651243 (or 11651227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002001222000 its reverse (2221002001), we get a palindrome (1004222224001).

The spelling of 1002001222000 in words is "one trillion, two billion, one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 86000 11651177 23302354 46604708 58255885 93209416 116511770 186418832 233023540 291279425 466047080 501000611 582558850 932094160 1002001222 1165117700 1456397125 2004002444 2330235400 2505003055 2912794250 4008004888 4660470800 5010006110 5825588500 8016009776 10020012220 11651177000 12525015275 20040024440 23302354000 25050030550 40080048880 50100061100 62625076375 100200122200 125250152750 200400244400 250500305500 501000611000 1002001222000