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10302330320 = 245373480517
BaseRepresentation
bin10011001100001000…
…10001010111010000
3222120222122121100122
421212010101113100
5132044344032240
64422142405412
7513205235312
oct114604212720
928528577318
1010302330320
114407440287
121bb6290868
13c82522b59
146da3817b2
154046cc4b5
hex2661115d0

10302330320 has 40 divisors (see below), whose sum is σ = 24600301224. Its totient is φ = 4009554432.

The previous prime is 10302330317. The next prime is 10302330329. The reversal of 10302330320 is 2303320301.

It can be written as a sum of positive squares in 4 ways, for example, as 5022273424 + 5280056896 = 70868^2 + 72664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×103023303202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302330329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1737299 + ... + 1743218.

Almost surely, 210302330320 is an apocalyptic number.

10302330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302330320 is an abundant number, since it is smaller than the sum of its proper divisors (14297970904).

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

10302330320 is a wasteful number, since it uses less digits than its factorization.

10302330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480567 (or 3480561 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 10302330320 its reverse (2303320301), we get a palindrome (12605650621).

The spelling of 10302330320 in words is "ten billion, three hundred two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 3480517 6961034 13922068 17402585 27844136 34805170 55688272 69610340 128779129 139220680 257558258 278441360 515116516 643895645 1030233032 1287791290 2060466064 2575582580 5151165160 10302330320