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10222310120 = 23511174729077
BaseRepresentation
bin10011000010100110…
…00001001011101000
3222101102002011021112
421201103001023220
5131413402410440
64410203325452
7511214126261
oct114123011350
928342064245
1010222310120
114376255990
121b93520888
13c6ba86519
146cd8b1968
153ec672965
hex2614c12e8

10222310120 has 128 divisors (see below), whose sum is σ = 27133263360. Its totient is φ = 3423989760.

The previous prime is 10222310107. The next prime is 10222310123. The reversal of 10222310120 is 2101322201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10222310095 and 10222310104.

It is not an unprimeable number, because it can be changed into a prime (10222310123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337022 + ... + 366098.

It is an arithmetic number, because the mean of its divisors is an integer number (211978620).

Almost surely, 210222310120 is an apocalyptic number.

10222310120 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 10222310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566631680).

10222310120 is an abundant number, since it is smaller than the sum of its proper divisors (16910953240).

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

10222310120 is a wasteful number, since it uses less digits than its factorization.

10222310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29163 (or 29159 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10222310120 its reverse (2101322201), we get a palindrome (12323632321).

The spelling of 10222310120 in words is "ten billion, two hundred twenty-two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 47 55 68 85 88 94 110 136 170 187 188 220 235 340 374 376 440 470 517 680 748 799 935 940 1034 1496 1598 1870 1880 2068 2585 3196 3740 3995 4136 5170 6392 7480 7990 8789 10340 15980 17578 20680 29077 31960 35156 43945 58154 70312 87890 116308 145385 175780 232616 290770 319847 351560 494309 581540 639694 988618 1163080 1279388 1366619 1599235 1977236 2471545 2558776 2733238 3198470 3954472 4943090 5437399 5466476 6396940 6833095 9886180 10874798 10932952 12793880 13666190 15032809 19772360 21749596 23232523 27186995 27332380 30065618 43499192 46465046 54373990 54664760 60131236 75164045 92930092 108747980 116162615 120262472 150328090 185860184 217495960 232325230 255557753 300656180 464650460 511115506 601312360 929300920 1022231012 1277788765 2044462024 2555577530 5111155060 10222310120