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10002320020 = 22572113172927
BaseRepresentation
bin10010101000010111…
…10100101010010100
3221211002010111121001
421110023310222110
5130441043220040
64332304233044
7502603213600
oct112413645224
927732114531
1010002320020
11427305a090
121b3190b784
13c35320474
146ac5a8500
153d81ba59a
hex2542f4a94

10002320020 has 144 divisors (see below), whose sum is σ = 26748755712. Its totient is φ = 3106709760.

The previous prime is 10002320011. The next prime is 10002320051. The reversal of 10002320020 is 2002320001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002319979 and 10002320006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3415797 + ... + 3418723.

It is an arithmetic number, because the mean of its divisors is an integer number (185755248).

Almost surely, 210002320020 is an apocalyptic number.

10002320020 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 10002320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374377856).

10002320020 is an abundant number, since it is smaller than the sum of its proper divisors (16746435692).

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

10002320020 is a wasteful number, since it uses less digits than its factorization.

10002320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10002320020 its reverse (2002320001), we get a palindrome (12004640021).

The spelling of 10002320020 in words is "ten billion, two million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 317 385 490 539 634 770 980 1078 1268 1540 1585 2156 2219 2695 2927 3170 3487 4438 5390 5854 6340 6974 8876 10780 11095 11708 13948 14635 15533 17435 20489 22190 24409 29270 31066 32197 34870 40978 44380 48818 58540 62132 64394 69740 77665 81956 97636 102445 122045 128788 143423 155330 160985 170863 204890 225379 244090 286846 310660 321970 341726 409780 450758 488180 573692 643940 683452 717115 854315 901516 927859 1126895 1434230 1577653 1708630 1855718 2253790 2868460 3155306 3417260 3711436 4507580 4639295 6310612 6495013 7888265 9278590 10206449 12990026 15776530 18557180 20412898 25980052 31553060 32475065 40825796 45465091 51032245 64950130 71445143 90930182 102064490 129900260 142890286 181860364 204128980 227325455 285780572 357225715 454650910 500116001 714451430 909301820 1000232002 1428902860 2000464004 2500580005 5001160010 10002320020