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33420301343 = 11131716698237
BaseRepresentation
bin11111001000000000…
…010101010000011111
310012021010012012202122
4133020000111100133
51021421044120333
623204133013155
72262120605612
oct371000252037
9105233165678
1033420301343
111319a986060
1265884841bb
1331c7b78550
1418907bc179
15d09041798
hex7c801541f

33420301343 has 32 divisors (see below), whose sum is σ = 41602559040. Its totient is φ = 26376284160.

The previous prime is 33420301303. The next prime is 33420301391. The reversal of 33420301343 is 34310302433.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33420301343 - 26 = 33420301279 is a prime.

It is a super-3 number, since 3×334203013433 (a number of 33 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420301303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053221 + ... + 4061457.

It is an arithmetic number, because the mean of its divisors is an integer number (1300079970).

Almost surely, 233420301343 is an apocalyptic number.

33420301343 is a deficient number, since it is larger than the sum of its proper divisors (8182257697).

33420301343 is a wasteful number, since it uses less digits than its factorization.

33420301343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947.

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 33420301343 its reverse (34310302433), we get a palindrome (67730603776).

The spelling of 33420301343 in words is "thirty-three billion, four hundred twenty million, three hundred one thousand, three hundred forty-three".

Divisors: 1 11 13 17 143 187 221 1669 2431 8237 18359 21697 28373 90607 107081 140029 238667 312103 368849 1177891 1540319 1820377 4057339 13747553 20024147 151223083 178718189 233708401 1965900079 2570792411 3038209213 33420301343