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1203117012 = 22321937137347
BaseRepresentation
bin100011110110110…
…0001101111010100
310002211212200021100
41013231201233110
54430444221022
6315214550100
741546216526
oct10755415724
93084780240
101203117012
11568145689
12296b08330
13162346176
14b5b01a16
15709541ac
hex47b61bd4

1203117012 has 144 divisors (see below), whose sum is σ = 3321339840. Its totient is φ = 365907456.

The previous prime is 1203117011. The next prime is 1203117023. The reversal of 1203117012 is 2107113021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203117011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467023 + ... + 3467369.

It is an arithmetic number, because the mean of its divisors is an integer number (23064860).

Almost surely, 21203117012 is an apocalyptic number.

1203117012 is a gapful number since it is divisible by the number (12) 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 1203117012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660669920).

1203117012 is an abundant number, since it is smaller than the sum of its proper divisors (2118222828).

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

1203117012 is a wasteful number, since it uses less digits than its factorization.

1203117012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1203117012 is about 34685.9771665727. The cubic root of 1203117012 is about 1063.5778624370.

The spelling of 1203117012 in words is "one billion, two hundred three million, one hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 137 148 171 222 228 274 333 342 347 411 444 548 666 684 694 703 822 1041 1233 1332 1388 1406 1644 2082 2109 2466 2603 2812 3123 4164 4218 4932 5069 5206 6246 6327 6593 7809 8436 10138 10412 12492 12654 12839 13186 15207 15618 19779 20276 23427 25308 25678 26372 30414 31236 38517 39558 45621 46854 47539 51356 59337 60828 77034 79116 91242 93708 95078 96311 115551 118674 142617 154068 182484 190156 192622 231102 237348 243941 285234 288933 385244 427851 462204 487882 570468 577866 731823 855702 866799 903241 975764 1155732 1463646 1711404 1733598 1758943 1806482 2195469 2709723 2927292 3467196 3517886 3612964 4390938 5276829 5419446 7035772 8129169 8781876 10553658 10838892 15830487 16258338 21107316 31660974 32516676 33419917 63321948 66839834 100259751 133679668 200519502 300779253 401039004 601558506 1203117012