Search a number
-
+
113002220301233 = 317121913785953
BaseRepresentation
bin11001101100011001100001…
…001100110010101110110001
3112211002220111000201001021012
4121230121201030302232301
5104302412021344114413
61040200300420040305
732542066235155244
oct3154314114625661
9484086430631235
10113002220301233
1133007a7744206a
1210810706b33095
134b090a9ac0273
141dc949da7b25b
15d0e6a8d337a8
hex66c661332bb1

113002220301233 has 24 divisors (see below), whose sum is σ = 118932988735488. Its totient is φ = 107252234208000.

The previous prime is 113002220301197. The next prime is 113002220301329. The reversal of 113002220301233 is 332103022200311.

It is not a de Polignac number, because 113002220301233 - 222 = 113002216106929 is a prime.

It is a super-3 number, since 3×1130022203012333 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113002220301199 and 113002220301208.

It is not an unprimeable number, because it can be changed into a prime (113002220306233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27954785 + ... + 31740737.

It is an arithmetic number, because the mean of its divisors is an integer number (4955541197312).

Almost surely, 2113002220301233 is an apocalyptic number.

It is an amenable number.

113002220301233 is a deficient number, since it is larger than the sum of its proper divisors (5930768434255).

113002220301233 is an equidigital number, since it uses as much as digits as its factorization.

113002220301233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786317 (or 3786246 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 113002220301233 its reverse (332103022200311), we get a palindrome (445105242501544).

The spelling of 113002220301233 in words is "one hundred thirteen trillion, two billion, two hundred twenty million, three hundred one thousand, two hundred thirty-three".

Divisors: 1 31 71 191 2201 5041 5921 13561 156271 420391 962831 3785953 29847761 117364543 268802663 723117023 8332882553 19084989073 22416627713 51341308633 591634661263 1591580567623 3645232912943 113002220301233