Search a number
-
+
1212101323314 = 237172181551713
BaseRepresentation
bin10001101000110110110…
…111100110101000110010
311021212122102111000210020
4101220312313212220302
5124324340414321224
62324455345544310
7153400000153020
oct21506667465062
94255572430706
101212101323314
1142805a663442
12176ab6345096
138a3ba73744b
144294779d710
15217e22c2c79
hex11a36de6a32

1212101323314 has 96 divisors (see below), whose sum is σ = 2959340931456. Its totient is φ = 324141834240.

The previous prime is 1212101323313. The next prime is 1212101323327. The reversal of 1212101323314 is 4133231012121.

It is not an unprimeable number, because it can be changed into a prime (1212101323313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921122 + ... + 2472834.

It is an arithmetic number, because the mean of its divisors is an integer number (30826468036).

Almost surely, 21212101323314 is an apocalyptic number.

1212101323314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212101323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479670465728).

1212101323314 is an abundant number, since it is smaller than the sum of its proper divisors (1747239608142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1212101323314 is a wasteful number, since it uses less digits than its factorization.

1212101323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551940 (or 551923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1212101323314 its reverse (4133231012121), we get a palindrome (5345332335435).

The spelling of 1212101323314 in words is "one trillion, two hundred twelve billion, one hundred one million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 181 238 289 357 362 543 578 714 867 1086 1267 1734 2023 2534 3077 3801 4046 6069 6154 7602 9231 12138 18462 21539 43078 52309 64617 104618 129234 156927 313854 366163 551713 732326 1098489 1103426 1655139 2196978 3310278 3861991 7723982 9379121 11585973 18758242 23171946 28137363 56274726 65653847 99860053 131307694 159445057 196961541 199720106 299580159 318890114 393923082 478335171 599160318 699020371 956670342 1116115399 1398040742 1697620901 2097061113 2232230798 3348346197 3395241802 4194122226 5092862703 6696692394 10185725406 11883346307 23766692614 28859555317 35650038921 57719110634 71300077842 86578665951 173157331902 202016887219 404033774438 606050661657 1212101323314