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10102224242030 = 2529103462173189
BaseRepresentation
bin1001001100000001101101…
…1111001100010101101110
31022202202121101011210112112
42103000123133030111232
52311003323401221110
633252521525204022
72061601351146404
oct223003337142556
938682541153475
1010102224242030
113245369247078
121171a66560612
135838357067bb
1426cd4373b474
15127bae587405
hex9301b7cc56e

10102224242030 has 64 divisors (see below), whose sum is σ = 18998039548800. Its totient is φ = 3862780669440.

The previous prime is 10102224242023. The next prime is 10102224242137. The reversal of 10102224242030 is 3024242220101.

10102224242030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×101022242420304 (a number of 53 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102224241987 and 10102224242005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137992676 + ... + 138065864.

It is an arithmetic number, because the mean of its divisors is an integer number (296844367950).

Almost surely, 210102224242030 is an apocalyptic number.

10102224242030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102224242030 is a deficient number, since it is larger than the sum of its proper divisors (8895815306770).

10102224242030 is a wasteful number, since it uses less digits than its factorization.

10102224242030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77949.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10102224242030 its reverse (3024242220101), we get a palindrome (13126466462131).

The spelling of 10102224242030 in words is "ten trillion, one hundred two billion, two hundred twenty-four million, two hundred forty-two thousand, thirty".

Divisors: 1 2 5 10 29 58 103 145 206 290 515 1030 2987 4621 5974 9242 14935 23105 29870 46210 73189 134009 146378 268018 365945 475963 670045 731890 951926 1340090 2122481 2379815 4244962 4759630 7538467 10612405 13802927 15076934 21224810 27605854 37692335 69014635 75384670 138029270 218615543 338206369 437231086 676412738 1093077715 1691031845 2186155430 3382063690 9807984701 19615969402 34835256007 49039923505 69670512014 98079847010 174176280035 348352560070 1010222424203 2020444848406 5051112121015 10102224242030