Search a number
-
+
1212211110138 = 237319727734651
BaseRepresentation
bin10001101000111101011…
…010011010000011111010
311021212221002001202222220
4101220331122122003322
5124330102021011023
62324514311024510
7153402502266150
oct21507532320372
94255832052886
101212211110138
11428106629956
12176b2706b136
138a4073c6772
14429581bb3d0
15217ebc5c3e3
hex11a3d69a0fa

1212211110138 has 128 divisors (see below), whose sum is σ = 2900149518336. Its totient is φ = 330511104000.

The previous prime is 1212211110137. The next prime is 1212211110139. The reversal of 1212211110138 is 8310111122121.

It is an interprime number because it is at equal distance from previous prime (1212211110137) and next prime (1212211110139).

It is not an unprimeable number, because it can be changed into a prime (1212211110137) 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, 34966113 + ... + 35000763.

It is an arithmetic number, because the mean of its divisors is an integer number (22657418112).

Almost surely, 21212211110138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212211110138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450074759168).

1212211110138 is an abundant number, since it is smaller than the sum of its proper divisors (1687938408198).

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

1212211110138 is a wasteful number, since it uses less digits than its factorization.

1212211110138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35068.

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 1212211110138 its reverse (8310111122121), we get a palindrome (9522322232259).

The spelling of 1212211110138 in words is "one trillion, two hundred twelve billion, two hundred eleven million, one hundred ten thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 97 186 194 217 277 291 434 554 582 651 679 831 1302 1358 1662 1939 2037 3007 3878 4074 5817 6014 8587 9021 11634 17174 18042 21049 25761 26869 34651 42098 51522 53738 60109 63147 69302 80607 103953 120218 126294 161214 180327 188083 207906 242557 360654 376166 485114 564249 727671 832939 1074181 1128498 1455342 1665878 2148362 2498817 3222543 3361147 4997634 5830573 6445086 6722294 7519267 9598327 10083441 11661146 15038534 17491719 19196654 20166882 22557801 23528029 28794981 34983438 45115602 47056058 57589962 67188289 70584087 104195557 134376578 141168174 201564867 208391114 297548137 312586671 403129734 595096274 625173342 729368899 892644411 931037719 1458737798 1785288822 1862075438 2082836959 2188106697 2793113157 4165673918 4376213394 5586226314 6248510877 6517264033 12497021754 13034528066 19551792099 28862169289 39103584198 57724338578 86586507867 173173015734 202035185023 404070370046 606105555069 1212211110138