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10222133230001 = 7114779101354001
BaseRepresentation
bin1001010011000000011010…
…0111101011100110110001
31100012020010001002112000002
42110300012213223212301
52314434412101330001
633423552211035345
72103344663552540
oct224600647534661
940166101075002
1010222133230001
113291200799540
12119114b89bb55
13591c34aa63a4
14274a7a952157
1512ad7b56146b
hex94c069eb9b1

10222133230001 has 64 divisors (see below), whose sum is σ = 13310928322560. Its totient is φ = 7620912000000.

The previous prime is 10222133229989. The next prime is 10222133230009. The reversal of 10222133230001 is 10003233122201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222133230001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222133230009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28699001 + ... + 29053001.

It is an arithmetic number, because the mean of its divisors is an integer number (207983255040).

Almost surely, 210222133230001 is an apocalyptic number.

10222133230001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222133230001 is a deficient number, since it is larger than the sum of its proper divisors (3088795092559).

10222133230001 is a wasteful number, since it uses less digits than its factorization.

10222133230001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354246.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10222133230001 its reverse (10003233122201), we get a palindrome (20225366352202).

The spelling of 10222133230001 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-three million, two hundred thirty thousand, one".

Divisors: 1 7 11 47 77 79 101 329 517 553 707 869 1111 3619 3713 4747 6083 7777 7979 25991 33229 40843 52217 55853 87769 285901 354001 365519 375013 614383 2478007 2625091 3894011 4125143 16638047 27258077 27966079 28876001 35754101 116466329 183018517 195762553 250278707 307626869 393295111 1281129619 1314405713 1680442747 2153388083 2753065777 2824573979 9200839991 11763099229 14458462843 18484870217 19772017853 31070313769 101209239901 129394091519 132754977013 217492196383 929284839091 1460304747143 10222133230001