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10101022230033 = 327222904812313
BaseRepresentation
bin1001001011111101001111…
…0101111000011000010001
31022202122111121101021001200
42102333103311320120101
52310443343142330113
633252202350021413
72061526514211300
oct222772365703021
938678447337050
1010101022230033
113244901796729
12117178baa7869
135836a36895b7
1426cc6bc46437
15127b3dca0873
hex92fd3d78611

10101022230033 has 18 divisors (see below), whose sum is σ = 16972465924674. Its totient is φ = 5772012702624.

The previous prime is 10101022229999. The next prime is 10101022230077. The reversal of 10101022230033 is 33003222010101.

10101022230033 is a `hidden beast` number, since 10 + 101 + 0 + 222 + 300 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9680169022209 + 420853207824 = 3111297^2 + 648732^2 .

It is a de Polignac number, because none of the positive numbers 2k-10101022230033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101022229988 and 10101022230015.

It is not an unprimeable number, because it can be changed into a prime (10101022231033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11452405716 + ... + 11452406597.

It is an arithmetic number, because the mean of its divisors is an integer number (942914773593).

Almost surely, 210101022230033 is an apocalyptic number.

It is an amenable number.

10101022230033 is a deficient number, since it is larger than the sum of its proper divisors (6871443694641).

10101022230033 is a wasteful number, since it uses less digits than its factorization.

10101022230033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904812333 (or 22904812323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10101022230033 its reverse (33003222010101), we get a palindrome (43104244240134).

The spelling of 10101022230033 in words is "ten trillion, one hundred one billion, twenty-two million, two hundred thirty thousand, thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 22904812313 68714436939 160333686191 206143310817 481001058573 1122335803337 1443003175719 3367007410011 10101022230033