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232033211330033 = 29127477011320751
BaseRepresentation
bin110100110000100001110001…
…001000110010110111110001
31010102120011021110011001001002
4310300201301020302313301
5220403113004100030113
62141254330303451345
766605563166120141
oct6460416110626761
91112504243131032
10232033211330033
1167a2980677aa83
1222035710bb6b55
139c6183a732169
1441426785a2921
151bc5ab2859c58
hexd30871232df1

232033211330033 has 16 divisors (see below), whose sum is σ = 241929645711360. Its totient is φ = 222263206200000.

The previous prime is 232033211329999. The next prime is 232033211330057. The reversal of 232033211330033 is 330033112330232.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232033211330033 is a prime.

It is a super-3 number, since 3×2320332113300333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232033211329978 and 232033211330005.

It is not an unprimeable number, because it can be changed into a prime (232033211320033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175022408 + ... + 176343158.

It is an arithmetic number, because the mean of its divisors is an integer number (15120602856960).

Almost surely, 2232033211330033 is an apocalyptic number.

It is an amenable number.

232033211330033 is a deficient number, since it is larger than the sum of its proper divisors (9896434381327).

232033211330033 is a wasteful number, since it uses less digits than its factorization.

232033211330033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368608.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 232033211330033 its reverse (330033112330232), we get a palindrome (562066323660265).

The spelling of 232033211330033 in words is "two hundred thirty-two trillion, thirty-three billion, two hundred eleven million, three hundred thirty thousand, thirty-three".

Divisors: 1 29 127 3683 47701 1320751 1383329 6058027 38301779 167735377 175682783 4864325933 63001143451 1827033160079 8001145218277 232033211330033