Search a number
-
+
10023020110320 = 243578641690439
BaseRepresentation
bin1001000111011010101010…
…0011011010000111110000
31022111012011111122000120220
42101312222203122013300
52303204121122012240
633152302321533040
72053065532142460
oct221665243320760
938435144560526
1010023020110320
113214814609688
12115a6411a4180
13579222439089
1426918c573ba0
15125ac5dc65d0
hex91daa8da1f0

10023020110320 has 160 divisors (see below), whose sum is σ = 35514289320960. Its totient is φ = 2290707578880.

The previous prime is 10023020110309. The next prime is 10023020110349. The reversal of 10023020110320 is 2301102032001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10023020110320.

It is a congruent number.

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, 14171661 + ... + 14862099.

It is an arithmetic number, because the mean of its divisors is an integer number (221964308256).

Almost surely, 210023020110320 is an apocalyptic number.

10023020110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023020110320 is an abundant number, since it is smaller than the sum of its proper divisors (25491269210640).

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

10023020110320 is a wasteful number, since it uses less digits than its factorization.

10023020110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699103 (or 699097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023020110320 its reverse (2301102032001), we get a palindrome (12324122142321).

The spelling of 10023020110320 in words is "ten trillion, twenty-three billion, twenty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8641 17282 25923 34564 43205 51846 60487 69128 86410 103692 120974 129615 138256 172820 181461 207384 241948 259230 302435 345640 362922 414768 483896 518460 604870 690439 691280 725844 907305 967792 1036920 1209740 1380878 1451688 1814610 2071317 2073840 2419480 2761756 2903376 3452195 3629220 4142634 4833073 4838960 5523512 6904390 7258440 8285268 9666146 10356585 11047024 13808780 14499219 14516880 16570536 19332292 20713170 24165365 27617560 28998438 33141072 38664584 41426340 48330730 55235120 57996876 72496095 77329168 82852680 96661460 115993752 144992190 165705360 193322920 231987504 289984380 386645840 579968760 1159937520 5966083399 11932166798 17898250197 23864333596 29830416995 35796500394 41762583793 47728667192 59660833990 71593000788 83525167586 89491250985 95457334384 119321667980 125287751379 143186001576 167050335172 178982501970 208812918965 238643335960 250575502758 286372003152 334100670344 357965003940 417625837930 477286671920 501151005516 626438756895 668201340688 715930007880 835251675860 1002302011032 1252877513790 1431860015760 1670503351720 2004604022064 2505755027580 3341006703440 5011510055160 10023020110320