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33000000332121 = 3341137257846667
BaseRepresentation
bin1111000000011011010010…
…10011000010000101011001
311022211202202202120220112000
413200031221103002011121
513311133000041111441
6154103554005511213
76644112525435504
oct740155123020531
9138752682526460
1033000000332121
11a573248974309
12384b755412509
131554b6b057374
148212cc32c13b
153c36145862b6
hex1e03694c2159

33000000332121 has 64 divisors (see below), whose sum is σ = 50643209352960. Its totient is φ = 21223816888320.

The previous prime is 33000000332111. The next prime is 33000000332147. The reversal of 33000000332121 is 12123300000033.

33000000332121 is a `hidden beast` number, since 330 + 0 + 0 + 0 + 0 + 0 + 332 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 33000000332121 - 27 = 33000000331993 is a prime.

It is a super-2 number, since 2×330000003321212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33000000332094 and 33000000332103.

It is not an unprimeable number, because it can be changed into a prime (33000000332111) 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 63 ways as a sum of consecutive naturals, for example, 38553030 + ... + 39399696.

It is an arithmetic number, because the mean of its divisors is an integer number (791300146140).

Almost surely, 233000000332121 is an apocalyptic number.

It is an amenable number.

33000000332121 is a deficient number, since it is larger than the sum of its proper divisors (17643209020839).

33000000332121 is a wasteful number, since it uses less digits than its factorization.

33000000332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847111 (or 847105 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33000000332121 its reverse (12123300000033), we get a palindrome (45123300332154).

The spelling of 33000000332121 in words is "thirty-three trillion, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 41 123 137 257 369 411 771 1107 1233 2313 3699 5617 6939 10537 16851 31611 35209 50553 94833 105627 151659 284499 316881 846667 950643 1443569 2540001 4330707 7620003 12992121 22860009 34713347 38976363 104140041 115993379 217593419 312420123 347980137 652780257 937260369 1043940411 1958340771 3131821233 4755728539 5875022313 8921330179 14267185617 26763990537 29810298403 42801556851 80291971611 89430895209 128404670553 240875914833 268292685627 804878056881 1222222234523 3666666703569 11000000110707 33000000332121