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10303200120 = 23356112711083
BaseRepresentation
bin10011001100001111…
…00101101101111000
3222121001021210111110
421212013211231320
5132100104400440
64422213200320
7513215520213
oct114607455570
928531253443
1010303200120
114407984824
121bb66300a0
13c82768a25
146da52a77a
15404800080
hex2661e5b78

10303200120 has 128 divisors (see below), whose sum is σ = 31666544640. Its totient is φ = 2680957440.

The previous prime is 10303200101. The next prime is 10303200121. The reversal of 10303200120 is 2100230301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10303200096 and 10303200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303200121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924099 + ... + 935181.

It is an arithmetic number, because the mean of its divisors is an integer number (247394880).

Almost surely, 210303200120 is an apocalyptic number.

10303200120 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 10303200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833272320).

10303200120 is an abundant number, since it is smaller than the sum of its proper divisors (21363344520).

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

10303200120 is a wasteful number, since it uses less digits than its factorization.

10303200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11285 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10303200120 its reverse (2100230301), we get a palindrome (12403430421).

The spelling of 10303200120 in words is "ten billion, three hundred three million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 127 183 244 254 305 366 381 488 508 610 635 732 762 915 1016 1220 1270 1464 1524 1830 1905 2440 2540 3048 3660 3810 5080 7320 7620 7747 11083 15240 15494 22166 23241 30988 33249 38735 44332 46482 55415 61976 66498 77470 88664 92964 110830 116205 132996 154940 166245 185928 221660 232410 265992 309880 332490 443320 464820 664980 676063 929640 1329960 1352126 1407541 2028189 2704252 2815082 3380315 4056378 4222623 5408504 5630164 6760630 7037705 8112756 8445246 10140945 11260328 13521260 14075410 16225512 16890492 20281890 21113115 27042520 28150820 33780984 40563780 42226230 56301640 81127560 84452460 85860001 168904920 171720002 257580003 343440004 429300005 515160006 686880008 858600010 1030320012 1287900015 1717200020 2060640024 2575800030 3434400040 5151600060 10303200120