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22310552210130 = 23251573083512147
BaseRepresentation
bin1010001001010100101001…
…00010100000101011010010
32220222212102202002012101100
411010222110202200223102
510411014002331211010
6115241154242445230
74461612165532332
oct504522442405322
986885382065340
1022310552210130
1171219410a6838
122603b26963816
13c5ab50899612
14571b9d4790c2
1528a536b0d2c0
hex144a948a0ad2

22310552210130 has 96 divisors (see below), whose sum is σ = 58395958979904. Its totient is φ = 5909656791168.

The previous prime is 22310552210129. The next prime is 22310552210137. The reversal of 22310552210130 is 3101225501322.

22310552210130 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 5 + 522 + 1 + 0 + 130 = 666.

It is a super-3 number, since 3×223105522101303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22310552210094 and 22310552210103.

It is not an unprimeable number, because it can be changed into a prime (22310552210137) 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 47 ways as a sum of consecutive naturals, for example, 43306717 + ... + 43818863.

It is an arithmetic number, because the mean of its divisors is an integer number (608291239374).

Almost surely, 222310552210130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310552210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29197979489952).

22310552210130 is an abundant number, since it is smaller than the sum of its proper divisors (36085406769774).

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

22310552210130 is a wasteful number, since it uses less digits than its factorization.

22310552210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515400 (or 515397 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 22310552210130 its reverse (3101225501322), we get a palindrome (25411777711452).

The spelling of 22310552210130 in words is "twenty-two trillion, three hundred ten billion, five hundred fifty-two million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 3083 4710 6166 7065 9249 14130 15415 18498 27747 30830 46245 55494 92490 138735 277470 484031 512147 968062 1024294 1452093 1536441 2420155 2560735 2904186 3072882 4356279 4609323 4840310 5121470 7260465 7682205 8712558 9218646 14520930 15364410 21781395 23046615 43562790 46093230 80407079 160814158 241221237 402035395 482442474 723663711 804070790 1206106185 1447327422 1578949201 2412212370 3157898402 3618318555 4736847603 7236637110 7894746005 9473695206 14210542809 15789492010 23684238015 28421085618 47368476030 71052714045 142105428090 247895024557 495790049114 743685073671 1239475122785 1487370147342 2231055221013 2478950245570 3718425368355 4462110442026 7436850736710 11155276105065 22310552210130