Search a number
-
+
11031223103310 = 2354321391430707
BaseRepresentation
bin1010000010000110100000…
…1000100110111101001110
31110001120111220102200000010
42200201220020212331032
52421213421103301220
635243401323014050
72215656664163124
oct240415010467516
943046456380003
1011031223103310
113573351949623
1212a1b1236a326
1362031700c407
142a1cb2205914
15141e328841e0
hexa0868226f4e

11031223103310 has 96 divisors (see below), whose sum is σ = 27299968859520. Its totient is φ = 2852575959744.

The previous prime is 11031223103273. The next prime is 11031223103311. The reversal of 11031223103310 is 1330132213011.

It is a happy number.

It is a super-2 number, since 2×110312231033102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031223103311) 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, 6994977 + ... + 8425683.

It is an arithmetic number, because the mean of its divisors is an integer number (284374675620).

Almost surely, 211031223103310 is an apocalyptic number.

11031223103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031223103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649984429760).

11031223103310 is an abundant number, since it is smaller than the sum of its proper divisors (16268745756210).

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

11031223103310 is a wasteful number, since it uses less digits than its factorization.

11031223103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430942 (or 1430899 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11031223103310 its reverse (1330132213011), we get a palindrome (12361355316321).

The spelling of 11031223103310 in words is "eleven trillion, thirty-one billion, two hundred twenty-three million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 139 215 258 278 417 430 645 695 834 1290 1390 1849 2085 3698 4170 5547 5977 9245 11094 11954 17931 18490 27735 29885 35862 55470 59770 89655 179310 257011 514022 771033 1285055 1430707 1542066 2570110 2861414 3855165 4292121 7153535 7710330 8584242 14307070 21460605 42921210 61520401 123040802 184561203 198868273 307602005 369122406 397736546 596604819 615204010 922806015 994341365 1193209638 1845612030 1988682730 2645377243 2983024095 5290754486 5966048190 7936131729 8551335739 13226886215 15872263458 17102671478 25654007217 26453772430 39680658645 42756678695 51308014434 79361317290 85513357390 128270036085 256540072170 367707436777 735414873554 1103122310331 1838537183885 2206244620662 3677074367770 5515611551655 11031223103310