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113020402005 = 36577360679
BaseRepresentation
bin110100101000010001…
…0100111100101010101
3101210201120211022000000
41221100202213211111
53322431210331010
6123530523241513
711110515365130
oct1512042474525
9353646738000
10113020402005
1143a28085915
1219aa2379299
13a8721a5824
1456823bb217
152e1736b7c0
hex1a508a7955

113020402005 has 112 divisors (see below), whose sum is σ = 235580148480. Its totient is φ = 50957869824.

The previous prime is 113020401959. The next prime is 113020402039. The reversal of 113020402005 is 500204020311.

It is not a de Polignac number, because 113020402005 - 213 = 113020393813 is a prime.

It is a super-2 number, since 2×1130204020052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1832256 + ... + 1892934.

Almost surely, 2113020402005 is an apocalyptic number.

113020402005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113020402005 is an abundant number, since it is smaller than the sum of its proper divisors (122559746475).

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

113020402005 is an frugal number, since it uses more digits than its factorization.

113020402005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60782 (or 60767 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 113020402005 its reverse (500204020311), we get a palindrome (613224422316).

The spelling of 113020402005 in words is "one hundred thirteen billion, twenty million, four hundred two thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 73 81 105 135 189 219 243 315 365 405 511 567 657 729 945 1095 1215 1533 1701 1971 2555 2835 3285 3645 4599 5103 5913 7665 8505 9855 13797 17739 22995 25515 29565 41391 53217 60679 68985 88695 124173 182037 206955 266085 303395 372519 424753 546111 620865 910185 1274259 1638333 1862595 2123765 2730555 3822777 4429567 4914999 6371295 8191665 11468331 13288701 14744997 19113885 22147835 24574995 31006969 34404993 39866103 44234991 57341655 66443505 73724985 93020907 103214979 119598309 155034845 172024965 199330515 221174955 279062721 309644937 358794927 465104535 516074895 597991545 837188163 1076384781 1395313605 1548224685 1793974635 2511564489 3229154343 4185940815 5381923905 7534693467 12557822445 16145771715 22604080401 37673467335 113020402005