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1116103725 = 335211191787
BaseRepresentation
bin100001010000110…
…0110010000101101
32212210010221111000
41002201212100231
54241210304400
6302425550513
736441503502
oct10241462055
92783127430
101116103725
11523014280
12271945439
1314a2cb809
14a83314a9
1567eb7600
hex4286642d

1116103725 has 96 divisors (see below), whose sum is σ = 2251284480. Its totient is φ = 537624000.

The previous prime is 1116103693. The next prime is 1116103787. The reversal of 1116103725 is 5273016111.

1116103725 is a `hidden beast` number, since 1 + 11 + 610 + 37 + 2 + 5 = 666.

It is not a de Polignac number, because 1116103725 - 25 = 1116103693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417782 + ... + 1418568.

It is an arithmetic number, because the mean of its divisors is an integer number (23450880).

Almost surely, 21116103725 is an apocalyptic number.

1116103725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1116103725 is an abundant number, since it is smaller than the sum of its proper divisors (1135180755).

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

1116103725 is a wasteful number, since it uses less digits than its factorization.

1116103725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1116103725 is about 33408.1386042383. The cubic root of 1116103725 is about 1037.2931721064.

Adding to 1116103725 its reverse (5273016111), we get a palindrome (6389119836).

The spelling of 1116103725 in words is "one billion, one hundred sixteen million, one hundred three thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 191 225 275 297 495 573 675 787 825 955 1485 1719 2101 2361 2475 2865 3935 4775 5157 6303 7083 7425 8595 8657 10505 11805 14325 18909 19675 21249 25785 25971 31515 35415 42975 43285 52525 56727 59025 77913 94545 106245 128925 129855 150317 157575 177075 216425 233739 283635 389565 450951 472725 531225 649275 751585 1168695 1352853 1418175 1653487 1947825 2254755 3757925 4058559 4960461 5843475 6764265 8267435 11273775 14881383 20292795 24802305 33821325 41337175 44644149 74406915 101463975 124011525 223220745 372034575 1116103725