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233120101332 = 22347967427439
BaseRepresentation
bin1101100100011100001…
…0100111001111010100
3211021201112121011021010
43121013002213033110
512304412221220312
6255032140452220
722561635111126
oct3310702471724
9737645534233
10233120101332
118a958246578
123921b54a070
1318ca1c29881
14b3d6a77216
1560e5e6793c
hex36470a73d4

233120101332 has 48 divisors (see below), whose sum is σ = 556096020480. Its totient is φ = 75974539872.

The previous prime is 233120101327. The next prime is 233120101369. The reversal of 233120101332 is 233101021332.

233120101332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233120101299 and 233120101308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 331669 + ... + 759107.

It is an arithmetic number, because the mean of its divisors is an integer number (11585333760).

Almost surely, 2233120101332 is an apocalyptic number.

It is an amenable number.

233120101332 is an abundant number, since it is smaller than the sum of its proper divisors (322975919148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233120101332 is a wasteful number, since it uses less digits than its factorization.

233120101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428460 (or 428458 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233120101332 its reverse (233101021332), we get a palindrome (466221122664).

The spelling of 233120101332 in words is "two hundred thirty-three billion, one hundred twenty million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 967 1934 2901 3868 5802 11604 45449 90898 136347 181796 272694 427439 545388 854878 1282317 1709756 2564634 5129268 20089633 40179266 60268899 80358532 120537798 241075596 413333513 826667026 1240000539 1653334052 2480001078 4960002156 19426675111 38853350222 58280025333 77706700444 116560050666 233120101332