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1302210002133 = 34296110518647
BaseRepresentation
bin10010111100110001110…
…000111011110011010101
311121111020020212012020000
4102330301300323303111
5132313411230032013
62434121011401513
7163036656246315
oct22746160736325
94544206765200
101302210002133
1146229a663537
121904635b3299
1395a4ac1b601
1447054cab445
1523d17e6a973
hex12f31c3bcd5

1302210002133 has 80 divisors (see below), whose sum is σ = 2047527461760. Its totient is φ = 823583376000.

The previous prime is 1302210002129. The next prime is 1302210002147. The reversal of 1302210002133 is 3312000122031.

It is not a de Polignac number, because 1302210002133 - 22 = 1302210002129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302210002183) 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 79 ways as a sum of consecutive naturals, for example, 150592416 + ... + 150601062.

It is an arithmetic number, because the mean of its divisors is an integer number (25594093272).

Almost surely, 21302210002133 is an apocalyptic number.

It is an amenable number.

1302210002133 is a deficient number, since it is larger than the sum of its proper divisors (745317459627).

1302210002133 is a wasteful number, since it uses less digits than its factorization.

1302210002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9791 counting only the distinct ones).

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

Adding to 1302210002133 its reverse (3312000122031), we get a palindrome (4614210124164).

The spelling of 1302210002133 in words is "one trillion, three hundred two billion, two hundred ten million, two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 61 81 87 183 261 549 783 1051 1647 1769 2349 3153 4941 5307 8647 9459 15921 25941 28377 30479 47763 64111 77823 85131 91437 143289 192333 233469 250763 274311 527467 576999 700407 752289 822933 1582401 1730997 1859219 2256867 2468799 4747203 5192991 5577657 6770601 9087997 14241609 15296543 16732971 20311803 27263991 42724827 45889629 50198913 81791973 137668887 150596739 245375919 263551913 413006661 554367817 736127757 790655739 1239019983 1663103451 2371967217 4989310353 7115901651 14967931059 16076666693 21347704953 44903793177 48230000079 144690000237 434070000711 1302210002133