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1002200122000 = 24537116507793
BaseRepresentation
bin11101001010101111100…
…10000100001010010000
310112210212001100012111001
432211113302010022100
5112410001212401000
62044223202431344
7132256311323620
oct16452762041220
93483761305431
101002200122000
11357037929140
12142296962554
137367904088c
1436714716880
151b1099a946a
hexe957c84290

1002200122000 has 160 divisors (see below), whose sum is σ = 3021282411264. Its totient is φ = 312374016000.

The previous prime is 1002200121991. The next prime is 1002200122031. The reversal of 1002200122000 is 2210022001.

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

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, 3099897 + ... + 3407896.

Almost surely, 21002200122000 is an apocalyptic number.

1002200122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200122000 is an abundant number, since it is smaller than the sum of its proper divisors (2019082289264).

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

1002200122000 is a wasteful number, since it uses less digits than its factorization.

1002200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507834 (or 6507818 counting only the distinct ones).

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

Adding to 1002200122000 its reverse (2210022001), we get a palindrome (1004410144001).

Subtracting from 1002200122000 its reverse (2210022001), we obtain a palindrome (999990099999).

It can be divided in two parts, 10022001 and 22000, that added together give a palindrome (10044001).

The spelling of 1002200122000 in words is "one trillion, two billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 6507793 13015586 26031172 32538965 45554551 52062344 65077930 71585723 91109102 104124688 130155860 143171446 162694825 182218204 227772755 260311720 286342892 325389650 357928615 364436408 455545510 501100061 520623440 572685784 650779300 715857230 728872816 813474125 911091020 1002200122 1138863775 1145371568 1301558600 1431714460 1626948250 1789643075 1822182040 2004400244 2277727550 2505500305 2603117200 2863428920 3253896500 3579286150 3644364080 4008800488 4555455100 5011000610 5694318875 5726857840 6507793000 7158572300 8017600976 8948215375 9110910200 10022001220 11388637750 12527501525 13015586000 14317144600 17896430750 18221820400 20044002440 22777275500 25055003050 28634289200 35792861500 40088004880 45554551000 50110006100 62637507625 71585723000 91109102000 100220012200 125275015250 143171446000 200440024400 250550030500 501100061000 1002200122000