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233030133401 = 1328291663301
BaseRepresentation
bin1101100100000110101…
…1011010011010011001
3211021111021022022110112
43121001223122122121
512304221203232101
6255015204254105
722556463311012
oct3310153323231
9737437268415
10233030133401
118a91148730a
12391b53a1335
1318c893b9400
14b3c8b38009
1560dd0e56bb
hex3641ada699

233030133401 has 12 divisors (see below), whose sum is σ = 252638940780. Its totient is φ = 214845134400.

The previous prime is 233030133383. The next prime is 233030133439. The reversal of 233030133401 is 104331030332.

233030133401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24889795225 + 208140338176 = 157765^2 + 456224^2 .

It is not a de Polignac number, because 233030133401 - 214 = 233030117017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233030133601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691550 + ... + 971751.

It is an arithmetic number, because the mean of its divisors is an integer number (21053245065).

Almost surely, 2233030133401 is an apocalyptic number.

It is an amenable number.

233030133401 is a deficient number, since it is larger than the sum of its proper divisors (19608807379).

233030133401 is a wasteful number, since it uses less digits than its factorization.

233030133401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664156 (or 1664143 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 233030133401 its reverse (104331030332), we get a palindrome (337361163733).

The spelling of 233030133401 in words is "two hundred thirty-three billion, thirty million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 13 169 829 10777 140101 1663301 21622913 281097869 1378876529 17925394877 233030133401