Search a number
-
+
12320111022210 = 2335113680359357
BaseRepresentation
bin1011001101000111111111…
…0101110101000010000010
31121121210100201102220122000
42303101333311311002002
53103323041410202320
642111440400124430
72411045556551565
oct263217765650202
947553321386560
1012320111022210
113a1aa2553a812
12146b878306716
136b4a20bc8824
14308421a664dc
1516571ae7ac90
hexb347fd75082

12320111022210 has 128 divisors (see below), whose sum is σ = 33149799970560. Its totient is φ = 3255755424768.

The previous prime is 12320111022061. The next prime is 12320111022251. The reversal of 12320111022210 is 1222011102321.

12320111022210 is a `hidden beast` number, since 1 + 2 + 320 + 1 + 110 + 22 + 210 = 666.

It is a super-2 number, since 2×123201110222102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 207529852 + ... + 207589208.

It is an arithmetic number, because the mean of its divisors is an integer number (258982812270).

Almost surely, 212320111022210 is an apocalyptic number.

12320111022210 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 12320111022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574899985280).

12320111022210 is an abundant number, since it is smaller than the sum of its proper divisors (20829688948350).

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

12320111022210 is a wasteful number, since it uses less digits than its factorization.

12320111022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66289 (or 66283 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12320111022210 its reverse (1222011102321), we get a palindrome (13542122124531).

The spelling of 12320111022210 in words is "twelve trillion, three hundred twenty billion, one hundred eleven million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 5085 6102 6803 10170 13606 15255 20409 30510 34015 40818 59357 61227 68030 102045 118714 122454 178071 183681 204090 296785 306135 356142 367362 534213 593570 612270 768739 890355 918405 1068426 1537478 1602639 1780710 1836810 2306217 2671065 3205278 3843695 4612434 5342130 6707341 6918651 7687390 8013195 11531085 13414682 13837302 16026390 20122023 20755953 23062170 33536705 34593255 40244046 41511906 60366069 67073410 69186510 100610115 103779765 120732138 181098207 201220230 207559530 301830345 362196414 403805671 603660690 807611342 905491035 1211417013 1810982070 2019028355 2422834026 3634251039 4038056710 6057085065 7268502078 10902753117 12114170130 18171255195 21805506234 36342510390 45630040823 54513765585 91260081646 109027531170 136890122469 228150204115 273780244938 410670367407 456300408230 684450612345 821340734814 1232011102221 1368901224690 2053351837035 2464022204442 4106703674070 6160055511105 12320111022210