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103022001220 = 225127251283571
BaseRepresentation
bin101111111110010010…
…1101111110001000100
3100211220210001220120211
41133330211233301010
53141442113014340
6115154435005204
710304660363455
oct1377445576104
9324823056524
10103022001220
113a767263376
1217b71a39804
13993a928248
144db455312c
152a2e6c75ea
hex17fc96fc44

103022001220 has 96 divisors (see below), whose sum is σ = 220076752896. Its totient is φ = 40506480000.

The previous prime is 103022001209. The next prime is 103022001221. The reversal of 103022001220 is 22100220301.

103022001220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030220012202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103022001220.

It is not an unprimeable number, because it can be changed into a prime (103022001221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180423535 + ... + 180424105.

It is an arithmetic number, because the mean of its divisors is an integer number (2292466176).

Almost surely, 2103022001220 is an apocalyptic number.

103022001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103022001220 is an abundant number, since it is smaller than the sum of its proper divisors (117054751676).

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

103022001220 is a wasteful number, since it uses less digits than its factorization.

103022001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 103022001220 its reverse (22100220301), we get a palindrome (125122221521).

The spelling of 103022001220 in words is "one hundred three billion, twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 127 251 254 283 502 508 566 571 635 1004 1132 1142 1255 1270 1415 2284 2510 2540 2830 2855 5020 5660 5710 11420 31877 35941 63754 71033 71882 72517 127508 142066 143321 143764 145034 159385 161593 179705 284132 286642 290068 318770 323186 355165 359410 362585 573284 637540 646372 710330 716605 718820 725170 807965 1420660 1433210 1450340 1615930 2866420 3231860 9021191 18042382 18201767 20522311 36084764 36403534 40559843 41044622 45105955 72807068 81119686 82089244 90211910 91008835 102611555 162239372 180423820 182017670 202799215 205223110 364035340 405598430 410446220 811196860 5151100061 10302200122 20604400244 25755500305 51511000610 103022001220