Search a number
-
+
12203002320 = 2435192779661
BaseRepresentation
bin10110101110101101…
…10000100111010000
31011111110002202011220
423113112300213100
5144442432033240
65334520405040
7611254544145
oct132726604720
934443082156
1012203002320
1151a2305293
122446916780
1311c6230542
1483a9823cc
154b64be5d0
hex2d75b09d0

12203002320 has 160 divisors (see below), whose sum is σ = 39968215680. Its totient is φ = 3071416320.

The previous prime is 12203002319. The next prime is 12203002327. The reversal of 12203002320 is 2320030221.

12203002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12203002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203002327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258290 + ... + 1267950.

It is an arithmetic number, because the mean of its divisors is an integer number (249801348).

Almost surely, 212203002320 is an apocalyptic number.

12203002320 is a gapful number since it is divisible by the number (10) 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 12203002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984107840).

12203002320 is an abundant number, since it is smaller than the sum of its proper divisors (27765213360).

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

12203002320 is a wasteful number, since it uses less digits than its factorization.

12203002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12203002320 its reverse (2320030221), we get a palindrome (14523032541).

The spelling of 12203002320 in words is "twelve billion, two hundred three million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 277 285 304 380 456 554 570 760 831 912 1108 1140 1385 1520 1662 2216 2280 2770 3324 4155 4432 4560 5263 5540 6648 8310 9661 10526 11080 13296 15789 16620 19322 21052 22160 26315 28983 31578 33240 38644 42104 48305 52630 57966 63156 66480 77288 78945 84208 96610 105260 115932 126312 144915 154576 157890 183559 193220 210520 231864 252624 289830 315780 367118 386440 421040 463728 550677 579660 631560 734236 772880 917795 1101354 1159320 1263120 1468472 1835590 2202708 2318640 2676097 2753385 2936944 3671180 4405416 5352194 5506770 7342360 8028291 8810832 10704388 11013540 13380485 14684720 16056582 21408776 22027080 26760970 32113164 40141455 42817552 44054160 50845843 53521940 64226328 80282910 101691686 107043880 128452656 152537529 160565820 203383372 214087760 254229215 305075058 321131640 406766744 508458430 610150116 642263280 762687645 813533488 1016916860 1220300232 1525375290 2033833720 2440600464 3050750580 4067667440 6101501160 12203002320