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133354343453331 = 371141333363667
BaseRepresentation
bin11110010100100011111010…
…010001010101001010010011
3122111011112212111000001102210
4132110203322101111022103
5114434334143411001311
61151342050055243203
740042350642500220
oct3624437221251223
9574145774001383
10133354343453331
1139544294380000
1212b58b6b979503
1359543507a8520
1424d0555722947
151063cbc30a3a6
hex7948fa455293

133354343453331 has 80 divisors (see below), whose sum is σ = 240720199166720. Its totient is φ = 63946136802240.

The previous prime is 133354343453297. The next prime is 133354343453339.

133354343453331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133354343453331 - 211 = 133354343451283 is a prime.

It is a super-2 number, since 2×1333543434533312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133354343453339) 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 79 ways as a sum of consecutive naturals, for example, 12684841 + ... + 20678826.

It is an arithmetic number, because the mean of its divisors is an integer number (3009002489584).

Almost surely, 2133354343453331 is an apocalyptic number.

133354343453331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133354343453331 is a deficient number, since it is larger than the sum of its proper divisors (107365855713389).

133354343453331 is an equidigital number, since it uses as much as digits as its factorization.

133354343453331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363734 (or 33363701 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 48.

The spelling of 133354343453331 in words is "one hundred thirty-three trillion, three hundred fifty-four billion, three hundred forty-three million, four hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1331 1573 2541 3003 3993 4719 9317 11011 14641 17303 27951 33033 43923 51909 102487 121121 190333 307461 363363 570999 1332331 3996993 33363667 100091001 233545669 367000337 433727671 700637007 1101001011 1301183013 2569002359 3036093697 4037003707 4771004381 7707007077 9108281091 12111011121 14313013143 28259025949 33397030667 44407040777 52481048191 84777077847 100191092001 133221122331 157443144573 310849285439 367367337337 488477448547 577291530101 932547856317 1102102012011 1465432345641 1731874590303 3419342139829 4041040710707 6350206831111 10258026419487 12123122132121 19050620493333 44451447817777 133354343453331