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1020224314033 = 233137245915727
BaseRepresentation
bin11101101100010100001…
…10111001101010110001
310121112101012001000201221
432312022012321222301
5113203404411022113
62100403511425041
7133465052404501
oct16661206715261
93545335030657
101020224314033
11363747034411
12145887085181
137528c291672
143754443da01
151b81204098d
hexed8a1b9ab1

1020224314033 has 32 divisors (see below), whose sum is σ = 1129154641920. Its totient is φ = 918431110080.

The previous prime is 1020224314007. The next prime is 1020224314091. The reversal of 1020224314033 is 3304134220201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020224314033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020224313989 and 1020224314007.

It is not an unprimeable number, because it can be changed into a prime (1020224312033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64863016 + ... + 64878742.

It is an arithmetic number, because the mean of its divisors is an integer number (35286082560).

Almost surely, 21020224314033 is an apocalyptic number.

It is an amenable number.

1020224314033 is a deficient number, since it is larger than the sum of its proper divisors (108930327887).

1020224314033 is a wasteful number, since it uses less digits than its factorization.

1020224314033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18277.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1020224314033 its reverse (3304134220201), we get a palindrome (4324358534234).

The spelling of 1020224314033 in words is "one trillion, twenty billion, two hundred twenty-four million, three hundred fourteen thousand, thirty-three".

Divisors: 1 23 31 37 713 851 1147 2459 15727 26381 56557 76229 90983 361721 487537 581899 1753267 2092609 2820473 11213351 13383677 18038869 38672693 64870879 414893987 889471939 1198853483 1430889641 27573630109 32910461743 44357578871 1020224314033