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1002223041000 = 23353743449629
BaseRepresentation
bin11101001010110010010…
…01011111100111101000
310112210220122110121102220
432211121021133213220
5112410023044303000
62044225341554040
7132260010201066
oct16453111374750
93483818417386
101002223041000
11357049862565
121422a2575920
1373680a0680c
14367177a1036
151b10b9d51a0
hexe95925f9e8

1002223041000 has 128 divisors (see below), whose sum is σ = 3131151379200. Its totient is φ = 266899180800.

The previous prime is 1002223040999. The next prime is 1002223041011. The reversal of 1002223041000 is 1403222001.

It is a super-2 number, since 2×10022230410002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2004186 + ... + 2453814.

It is an arithmetic number, because the mean of its divisors is an integer number (24462120150).

Almost surely, 21002223041000 is an apocalyptic number.

1002223041000 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 1002223041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565575689600).

1002223041000 is an abundant number, since it is smaller than the sum of its proper divisors (2128928338200).

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

1002223041000 is a wasteful number, since it uses less digits than its factorization.

1002223041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450396 (or 450382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1002223041000 its reverse (1403222001), we get a palindrome (1003626263001).

The spelling of 1002223041000 in words is "one trillion, two billion, two hundred twenty-three million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 743 750 1000 1486 1500 2229 2972 3000 3715 4458 5944 7430 8916 11145 14860 17832 18575 22290 29720 37150 44580 55725 74300 89160 92875 111450 148600 185750 222900 278625 371500 445800 449629 557250 743000 899258 1114500 1348887 1798516 2229000 2248145 2697774 3597032 4496290 5395548 6744435 8992580 10791096 11240725 13488870 17985160 22481450 26977740 33722175 44962900 53955480 56203625 67444350 89925800 112407250 134888700 168610875 224814500 269777400 334074347 337221750 449629000 668148694 674443500 1002223041 1336297388 1348887000 1670371735 2004446082 2672594776 3340743470 4008892164 5011115205 6681486940 8017784328 8351858675 10022230410 13362973880 16703717350 20044460820 25055576025 33407434700 40088921640 41759293375 50111152050 66814869400 83518586750 100222304100 125277880125 167037173500 200444608200 250555760250 334074347000 501111520500 1002223041000