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10301023188 = 2232416979013
BaseRepresentation
bin10011001011111110…
…10010001111010100
3222120220012012022100
421211333102033110
5132044030220223
64422054402100
7513161152401
oct114577221724
928526165270
1010301023188
114406728205
121bb5960330
13c82185bc1
146da1212a8
15404520043
hex265fd23d4

10301023188 has 36 divisors (see below), whose sum is σ = 26673791508. Its totient is φ = 3349925760.

The previous prime is 10301023181. The next prime is 10301023189. The reversal of 10301023188 is 88132010301.

It can be written as a sum of positive squares in 2 ways, for example, as 4031234064 + 6269789124 = 63492^2 + 79182^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×103010231882 (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 (10301023181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3488031 + ... + 3490982.

It is an arithmetic number, because the mean of its divisors is an integer number (740938653).

Almost surely, 210301023188 is an apocalyptic number.

10301023188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10301023188 is an abundant number, since it is smaller than the sum of its proper divisors (16372768320).

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

10301023188 is a wasteful number, since it uses less digits than its factorization.

10301023188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979064 (or 6979059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10301023188 its reverse (88132010301), we get a palindrome (98433033489).

The spelling of 10301023188 in words is "ten billion, three hundred one million, twenty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 6979013 13958026 20937039 27916052 41874078 62811117 83748156 125622234 251244468 286139533 572279066 858418599 1144558132 1716837198 2575255797 3433674396 5150511594 10301023188