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22351130120 = 23511174763577
BaseRepresentation
bin10100110100001110…
…110010111000001000
32010200200121001110002
4110310032302320020
5331233342130440
614133514142132
71420611320444
oct246416627010
963620531402
1022351130120
11952a6a2970
1243b9421948
1321528126a7
141120663824
158ac38c115
hex5343b2e08

22351130120 has 128 divisors (see below), whose sum is σ = 59325903360. Its totient is φ = 7486709760.

The previous prime is 22351130099. The next prime is 22351130129. The reversal of 22351130120 is 2103115322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22351130092 and 22351130101.

It is not an unprimeable number, because it can be changed into a prime (22351130129) 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, 319772 + ... + 383348.

It is an arithmetic number, because the mean of its divisors is an integer number (463483620).

Almost surely, 222351130120 is an apocalyptic number.

22351130120 is a gapful number since it is divisible by the number (20) 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 22351130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29662951680).

22351130120 is an abundant number, since it is smaller than the sum of its proper divisors (36974773240).

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

22351130120 is a wasteful number, since it uses less digits than its factorization.

22351130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63663 (or 63659 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 22351130120 its reverse (2103115322), we get a palindrome (24454245442).

The spelling of 22351130120 in words is "twenty-two billion, three hundred fifty-one million, one hundred thirty 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 31960 35156 43945 63577 70312 87890 127154 175780 254308 317885 351560 508616 635770 699347 1080809 1271540 1398694 2161618 2543080 2797388 2988119 3496735 4323236 5404045 5594776 5976238 6993470 8646472 10808090 11888899 11952476 13986940 14940595 21616180 23777798 23904952 27973880 29881190 32869309 43232360 47555596 50798023 59444495 59762380 65738618 95111192 101596046 118888990 119524760 131477236 164346545 203192092 237777980 253990115 262954472 328693090 406384184 475555960 507980230 558778253 657386180 1015960460 1117556506 1314772360 2031920920 2235113012 2793891265 4470226024 5587782530 11175565060 22351130120