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1002221022000 = 243531115185167
BaseRepresentation
bin11101001010110010000…
…01110010101100110000
310112210220111200000220010
432211121001302230300
5112410022040201000
62044225230414520
7132256654061562
oct16453101625460
93483814600803
101002221022000
11357048703670
121422a1961440
137368047a843
14367173d7332
151b10b736d50
hexe959072b30

1002221022000 has 160 divisors (see below), whose sum is σ = 3524902677504. Its totient is φ = 242962656000.

The previous prime is 1002221021981. The next prime is 1002221022067. The reversal of 1002221022000 is 2201222001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7526584 + ... + 7658583.

Almost surely, 21002221022000 is an apocalyptic number.

1002221022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002221022000 is an abundant number, since it is smaller than the sum of its proper divisors (2522681655504).

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

1002221022000 is a wasteful number, since it uses less digits than its factorization.

1002221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15185204 (or 15185188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002221022000 its reverse (2201222001), we get a palindrome (1004422244001).

The spelling of 1002221022000 in words is "one trillion, two billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 15185167 30370334 45555501 60740668 75925835 91111002 121481336 151851670 167036837 182222004 227777505 242962672 303703340 334073674 364444008 379629175 455555010 501110511 607406680 668147348 728888016 759258350 835184185 911110020 1002221022 1138887525 1214813360 1336294696 1518516700 1670368370 1822220040 1898145875 2004442044 2277775050 2505552555 2672589392 3037033400 3340736740 3644440080 3796291750 4008884088 4175920925 4555550100 5011105110 5694437625 6074066800 6681473480 7592583500 8017768176 8351841850 9111100200 10022210220 11388875250 12527762775 13362946960 15185167000 16703683700 18222200400 20044420440 20879604625 22777750500 25055525550 30370334000 33407367400 40088840880 41759209250 45555501000 50111051100 62638813875 66814734800 83518418500 91111002000 100222102200 125277627750 167036837000 200444204400 250555255500 334073674000 501110511000 1002221022000