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113332312401 = 37112538310139
BaseRepresentation
bin110100110001100100…
…0011101100101010001
3101211112022201222121220
41221203020131211101
53324101032444101
6124021504435253
711121323521650
oct1514310354521
9354468658556
10113332312401
1144078154800
1219b6a918b29
13a8c19b38a9
1456b19b1197
152e3492e636
hex1a6321d951

113332312401 has 96 divisors (see below), whose sum is σ = 195754890240. Its totient is φ = 57061530240.

The previous prime is 113332312391. The next prime is 113332312453. The reversal of 113332312401 is 104213233311.

It is not a de Polignac number, because 113332312401 - 25 = 113332312369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113332312001) 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 95 ways as a sum of consecutive naturals, for example, 11172790 + ... + 11182928.

It is an arithmetic number, because the mean of its divisors is an integer number (2039113440).

Almost surely, 2113332312401 is an apocalyptic number.

113332312401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113332312401 is a deficient number, since it is larger than the sum of its proper divisors (82422577839).

113332312401 is a wasteful number, since it uses less digits than its factorization.

113332312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113332312401 its reverse (104213233311), we get a palindrome (217545545712).

The spelling of 113332312401 in words is "one hundred thirteen billion, three hundred thirty-two million, three hundred twelve thousand, four hundred one".

Divisors: 1 3 7 11 21 33 53 77 83 121 159 231 249 363 371 581 583 847 913 1113 1743 1749 2541 2739 4081 4399 6391 6413 10043 10139 12243 13197 19173 19239 30129 30417 30793 44891 48389 70301 70973 92379 111529 134673 145167 210903 212919 334587 338723 532279 537367 780703 841537 1016169 1226819 1596837 1612101 2342109 2524611 3680457 3725953 3761569 5890759 5911037 8587733 9256907 11177859 11284707 17672277 17733111 25763199 27770721 41377259 44601461 64798349 65021407 101825977 124131777 133804383 194395047 195064221 305477931 312210227 455149849 490616071 712781839 936630681 1365449547 1471848213 2138345517 3434312497 5396776781 10302937491 16190330343 37777437467 113332312401