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1113005140 = 2251337127911
BaseRepresentation
bin100001001010111…
…0001110001010100
32212120022112000121
41002111301301110
54234412131030
6302235321324
736403246642
oct10225616124
92776275017
101113005140
11521298265
122708b0244
13149785330
14a7b66192
1567aa447a
hex42571c54

1113005140 has 96 divisors (see below), whose sum is σ = 2608349184. Its totient is φ = 396264960.

The previous prime is 1113005137. The next prime is 1113005171. The reversal of 1113005140 is 415003111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221285 + ... + 1222195.

It is an arithmetic number, because the mean of its divisors is an integer number (27170304).

Almost surely, 21113005140 is an apocalyptic number.

1113005140 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 1113005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304174592).

1113005140 is an abundant number, since it is smaller than the sum of its proper divisors (1495344044).

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

1113005140 is a wasteful number, since it uses less digits than its factorization.

1113005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1113005140 is about 33361.7316696841. The cubic root of 1113005140 is about 1036.3323533792.

Adding to 1113005140 its reverse (415003111), we get a palindrome (1528008251).

The spelling of 1113005140 in words is "one billion, one hundred thirteen million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 127 130 148 185 254 260 370 481 508 635 740 911 962 1270 1651 1822 1924 2405 2540 3302 3644 4555 4699 4810 6604 8255 9110 9398 9620 11843 16510 18220 18796 23495 23686 33020 33707 46990 47372 59215 61087 67414 93980 115697 118430 122174 134828 168535 231394 236860 244348 305435 337070 438191 462788 578485 610870 674140 876382 1156970 1221740 1504061 1752764 2190955 2313940 3008122 4280789 4381910 6016244 7520305 8561578 8763820 15040610 17123156 21403945 30081220 42807890 55650257 85615780 111300514 222601028 278251285 556502570 1113005140