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10023023120 = 24511671391223
BaseRepresentation
bin10010101010110101…
…10011001000010000
3221212112002022220112
421111122303020100
5131011343214440
64334324100452
7503244201515
oct112532631020
927775068815
1010023023120
11428380a690
121b38834728
13c396bb916
146b123730c
153d9e09965
hex2556b3210

10023023120 has 160 divisors (see below), whose sum is σ = 26008335360. Its totient is φ = 3561592320.

The previous prime is 10023023119. The next prime is 10023023141. The reversal of 10023023120 is 2132032001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10023023095 and 10023023104.

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, 8194829 + ... + 8196051.

It is an arithmetic number, because the mean of its divisors is an integer number (162552096).

Almost surely, 210023023120 is an apocalyptic number.

10023023120 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 10023023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004167680).

10023023120 is an abundant number, since it is smaller than the sum of its proper divisors (15985312240).

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

10023023120 is a wasteful number, since it uses less digits than its factorization.

10023023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10023023120 its reverse (2132032001), we get a palindrome (12155055121).

The spelling of 10023023120 in words is "ten billion, twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 139 176 220 268 278 335 440 536 556 670 695 737 880 1072 1112 1223 1340 1390 1474 1529 2224 2446 2680 2780 2948 3058 3685 4892 5360 5560 5896 6115 6116 7370 7645 9313 9784 11120 11792 12230 12232 13453 14740 15290 18626 19568 24460 24464 26906 29480 30580 37252 46565 48920 53812 58960 61160 67265 74504 81941 93130 97840 102443 107624 122320 134530 149008 163882 169997 186260 204886 215248 269060 327764 339994 372520 409705 409772 512215 538120 655528 679988 745040 819410 819544 849985 901351 1024430 1076240 1311056 1359976 1638820 1639088 1699970 1802702 1869967 2048860 2719952 3277640 3399940 3605404 3739934 4097720 4506755 6555280 6799880 7210808 7479868 8195440 9013510 9349835 11389799 13599760 14421616 14959736 18027020 18699670 22779598 29919472 36054040 37399340 45559196 56948995 72108080 74798680 91118392 113897990 125287789 149597360 182236784 227795980 250575578 455591960 501151156 626438945 911183920 1002302312 1252877890 2004604624 2505755780 5011511560 10023023120