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10321330110030 = 23259411063114649
BaseRepresentation
bin1001011000110001111100…
…1101101111111001001110
31100112201011020112010202200
42112030133031233321032
52323101041002010110
633541315324302330
72113456116251442
oct226143715577116
940481136463680
1010321330110030
11331a284852725
1211a84146a19a6
1359b3b30acac4
142797ab074822
1512d7350096c0
hex9631f36fe4e

10321330110030 has 96 divisors (see below), whose sum is σ = 26889482692800. Its totient is φ = 2746819330560.

The previous prime is 10321330110023. The next prime is 10321330110037. The reversal of 10321330110030 is 3001103312301.

It is a happy number.

10321330110030 is a `hidden beast` number, since 1 + 0 + 321 + 3 + 301 + 10 + 0 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (10321330110023) and next prime (10321330110037).

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 = 10321330109985 and 10321330110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321330110037) 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, 89968146 + ... + 90082794.

It is an arithmetic number, because the mean of its divisors is an integer number (280098778050).

Almost surely, 210321330110030 is an apocalyptic number.

10321330110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10321330110030 is an abundant number, since it is smaller than the sum of its proper divisors (16568152582770).

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

10321330110030 is a wasteful number, since it uses less digits than its factorization.

10321330110030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116666 (or 116663 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10321330110030 its reverse (3001103312301), we get a palindrome (13322433422331).

The spelling of 10321330110030 in words is "ten trillion, three hundred twenty-one billion, three hundred thirty million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 941 1063 1882 2126 2823 3189 4705 5315 5646 6378 8469 9410 9567 10630 14115 15945 16938 19134 28230 31890 42345 47835 84690 95670 114649 229298 343947 573245 687894 1000283 1031841 1146490 1719735 2000566 2063682 3000849 3439470 5001415 5159205 6001698 9002547 10002830 10318410 15004245 18005094 30008490 45012735 90025470 107884709 121871887 215769418 243743774 323654127 365615661 539423545 609359435 647308254 731231322 970962381 1078847090 1096846983 1218718870 1618270635 1828078305 1941924762 2193693966 3236541270 3656156610 4854811905 5484234915 9709623810 10968469830 114681445667 229362891334 344044337001 573407228335 688088674002 1032133011003 1146814456670 1720221685005 2064266022006 3440443370010 5160665055015 10321330110030