Search a number
-
+
12147522210320 = 245741737247579
BaseRepresentation
bin1011000011000101000010…
…1111110000101000010000
31121000021212201010212012212
42300301100233300220100
53043011111141212240
641500254503011252
72362425632061110
oct260612057605020
947007781125185
1012147522210320
11396380a669992
121442330739b28
136a16778180b3
142ddd2c261040
15160eb9210165
hexb0c50bf0a10

12147522210320 has 160 divisors (see below), whose sum is σ = 33517912216320. Its totient is φ = 4007620730880.

The previous prime is 12147522210287. The next prime is 12147522210353. The reversal of 12147522210320 is 2301222574121.

It is an interprime number because it is at equal distance from previous prime (12147522210287) and next prime (12147522210353).

It is an unprimeable number.

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, 1947710 + ... + 5299869.

It is an arithmetic number, because the mean of its divisors is an integer number (209486951352).

Almost surely, 212147522210320 is an apocalyptic number.

12147522210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12147522210320 is an abundant number, since it is smaller than the sum of its proper divisors (21370390006000).

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

12147522210320 is a wasteful number, since it uses less digits than its factorization.

12147522210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247713 (or 7247707 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 12147522210320 its reverse (2301222574121), we get a palindrome (14448744784441).

The spelling of 12147522210320 in words is "twelve trillion, one hundred forty-seven billion, five hundred twenty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 73 80 82 112 140 146 164 205 280 287 292 328 365 410 511 560 574 584 656 730 820 1022 1148 1168 1435 1460 1640 2044 2296 2555 2870 2920 2993 3280 4088 4592 5110 5740 5840 5986 8176 10220 11480 11972 14965 20440 20951 22960 23944 29930 40880 41902 47888 59860 83804 104755 119720 167608 209510 239440 335216 419020 838040 1676080 7247579 14495158 28990316 36237895 50733053 57980632 72475790 101466106 115961264 144951580 202932212 253665265 289903160 297150739 405864424 507330530 529073267 579806320 594301478 811728848 1014661060 1058146534 1188602956 1485753695 2029322120 2080055173 2116293068 2377205912 2645366335 2971507390 3703512869 4058644240 4160110346 4232586136 4754411824 5290732670 5943014780 7407025738 8320220692 8465172272 10400275865 10581465340 11886029560 14814051476 16640441384 18517564345 20800551730 21162930680 21692003947 23772059120 29628102952 33280882768 37035128690 41601103460 42325861360 43384007894 59256205904 74070257380 83202206920 86768015788 108460019735 148140514760 151844027629 166404413840 173536031576 216920039470 296281029520 303688055258 347072063152 433840078940 607376110516 759220138145 867680157880 1214752221032 1518440276290 1735360315760 2429504442064 3036880552580 6073761105160 12147522210320