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11012131320132 = 22317531867545533
BaseRepresentation
bin1010000000111111011000…
…1011001111000101000100
31102222202020100212121000110
42200033312023033011010
52420410321104221012
635230523035513020
72214412610536515
oct240176613170504
942882210777013
1011012131320132
113566245054318
12129a2845b8770
1361b5938471a7
142a0dc07b8a0c
151416b671973c
hexa03f62cf144

11012131320132 has 96 divisors (see below), whose sum is σ = 27734669246592. Its totient is φ = 3387779905536.

The previous prime is 11012131320109. The next prime is 11012131320161. The reversal of 11012131320132 is 23102313121011.

It is a junction number, because it is equal to n+sod(n) for n = 11012131320099 and 11012131320108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19913238 + ... + 20458770.

It is an arithmetic number, because the mean of its divisors is an integer number (288902804652).

Almost surely, 211012131320132 is an apocalyptic number.

11012131320132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012131320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867334623296).

11012131320132 is an abundant number, since it is smaller than the sum of its proper divisors (16722537926460).

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

11012131320132 is a wasteful number, since it uses less digits than its factorization.

11012131320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547477 (or 547475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11012131320132 its reverse (23102313121011), we get a palindrome (34114444441143).

The spelling of 11012131320132 in words is "eleven trillion, twelve billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 1867 2703 3604 3734 5406 5601 7468 10812 11202 22404 31739 63478 95217 98951 126956 190434 197902 296853 380868 395804 545533 593706 1091066 1187412 1636599 1682167 2182132 3273198 3364334 5046501 6546396 6728668 9274061 10093002 18548122 20186004 27822183 28913249 37096244 55644366 57826498 86739747 111288732 115652996 173479494 346958988 491525233 983050466 1018510111 1474575699 1966100932 2037020222 2949151398 3055530333 4074040444 5898302796 6111060666 12222121332 17314671887 34629343774 51944015661 53981035883 69258687548 103888031322 107962071766 161943107649 207776062644 215924143532 323886215298 647772430596 917677610011 1835355220022 2753032830033 3670710440044 5506065660066 11012131320132