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1002230223024 = 243235383206369
BaseRepresentation
bin11101001010110011001…
…00111001000010110000
310112210221010222111022210
432211121210321002300
5112410031414114044
62044230155532120
7132260125222662
oct16453144710260
93483833874283
101002230223024
11357052918518
121422a4a5a040
137368234c834
1436718710532
151b10c4531b9
hexe9599390b0

1002230223024 has 160 divisors (see below), whose sum is σ = 2785816696320. Its totient is φ = 309743509504.

The previous prime is 1002230223019. The next prime is 1002230223061. The reversal of 1002230223024 is 4203220322001.

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, 4753312 + ... + 4959680.

It is an arithmetic number, because the mean of its divisors is an integer number (17411354352).

Almost surely, 21002230223024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002230223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392908348160).

1002230223024 is an abundant number, since it is smaller than the sum of its proper divisors (1783586473296).

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

1002230223024 is a wasteful number, since it uses less digits than its factorization.

1002230223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206539 (or 206533 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1002230223024 its reverse (4203220322001), we get a palindrome (5205450545025).

The spelling of 1002230223024 in words is "one trillion, two billion, two hundred thirty million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 53 69 83 92 106 138 159 166 184 212 249 276 318 332 368 424 498 552 636 664 848 996 1104 1219 1272 1328 1909 1992 2438 2544 3657 3818 3984 4399 4876 5727 7314 7636 8798 9752 11454 13197 14628 15272 17596 19504 22908 26394 29256 30544 35192 45816 52788 58512 70384 91632 101177 105576 202354 206369 211152 303531 404708 412738 607062 619107 809416 825476 1214124 1238214 1618832 1650952 2428248 2476428 3301904 4746487 4856496 4952856 9492974 9905712 10937557 14239461 17128627 18985948 21875114 28478922 32812671 34257254 37971896 43750228 51385881 56957844 65625342 68514508 75943792 87500456 102771762 113915688 131250684 137029016 175000912 205543524 227831376 251563811 262501368 274058032 393958421 411087048 503127622 525002736 754691433 787916842 822174096 907817231 1006255244 1181875263 1509382866 1575833684 1815634462 2012510488 2363750526 2723451693 3018765732 3151667368 3631268924 4025020976 4727501052 5446903386 6037531464 6303334736 7262537848 9455002104 10893806772 12075062928 14525075696 18910004208 20879796313 21787613544 41759592626 43575227088 62639388939 83519185252 125278777878 167038370504 250557555756 334076741008 501115111512 1002230223024