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10120302303030 = 23252326891818161
BaseRepresentation
bin1001001101000101000100…
…0001100001011100110110
31022211111021021020110010100
42103101101001201130312
52311302334342144110
633305111440534530
72063111345140533
oct223212101413466
938744237213110
1010120302303030
113251aa58a5957
121175470921446
13585456b68a0a
1426db7a687d8a
151283bb70ebc0
hex93451061736

10120302303030 has 96 divisors (see below), whose sum is σ = 27467046060480. Its totient is φ = 2580449034240.

The previous prime is 10120302303029. The next prime is 10120302303037. The reversal of 10120302303030 is 3030320302101.

10120302303030 is a `hidden beast` number, since 10 + 1 + 20 + 302 + 30 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120302302994 and 10120302303012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120302303037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4657150 + ... + 6475310.

It is an arithmetic number, because the mean of its divisors is an integer number (286115063130).

Almost surely, 210120302303030 is an apocalyptic number.

10120302303030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120302303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733523030240).

10120302303030 is an abundant number, since it is smaller than the sum of its proper divisors (17346743757450).

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

10120302303030 is a wasteful number, since it uses less digits than its factorization.

10120302303030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820886 (or 1820883 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10120302303030 its reverse (3030320302101), we get a palindrome (13150622605131).

The spelling of 10120302303030 in words is "ten trillion, one hundred twenty billion, three hundred two million, three hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 2689 5378 8067 13445 16134 24201 26890 40335 48402 61847 80670 121005 123694 185541 242010 309235 371082 556623 618470 927705 1113246 1818161 1855410 2783115 3636322 5454483 5566230 9090805 10908966 16363449 18181610 27272415 32726898 41817703 54544830 81817245 83635406 125453109 163634490 209088515 250906218 376359327 418177030 627265545 752718654 1254531090 1881796635 3763593270 4889034929 9778069858 14667104787 24445174645 29334209574 44001314361 48890349290 73335523935 88002628722 112447803367 146671047870 220006571805 224895606734 337343410101 440013143610 562239016835 674686820202 1012030230303 1124478033670 1686717050505 2024060460606 3373434101010 5060151151515 10120302303030