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10301021310 = 23517311016451
BaseRepresentation
bin10011001011111110…
…10001110001111110
3222120220012002201210
421211333101301332
5132044030140220
64422054345250
7513161144046
oct114577216176
928526162653
1010301021310
114406726858
121bb595b226
13c821850a8
146da120726
1540451e6e0
hex265fd1c7e

10301021310 has 128 divisors (see below), whose sum is σ = 27292889088. Its totient is φ = 2476800000.

The previous prime is 10301021287. The next prime is 10301021321. The reversal of 10301021310 is 1312010301.

It is a super-2 number, since 2×103010213102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593585 + ... + 1600035.

It is an arithmetic number, because the mean of its divisors is an integer number (213225696).

Almost surely, 210301021310 is an apocalyptic number.

10301021310 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 10301021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646444544).

10301021310 is an abundant number, since it is smaller than the sum of its proper divisors (16991867778).

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

10301021310 is a wasteful number, since it uses less digits than its factorization.

10301021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10301021310 its reverse (1312010301), we get a palindrome (11613031611).

The spelling of 10301021310 in words is "ten billion, three hundred one million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 101 102 155 170 186 202 255 303 310 465 505 510 527 606 930 1010 1054 1515 1581 1717 2635 3030 3131 3162 3434 5151 5270 6262 6451 7905 8585 9393 10302 12902 15655 15810 17170 18786 19353 25755 31310 32255 38706 46965 51510 53227 64510 93930 96765 106454 109667 159681 193530 199981 219334 266135 319362 329001 399962 532270 548335 599943 651551 658002 798405 999905 1096670 1199886 1303102 1596810 1645005 1954653 1999810 2999715 3257755 3290010 3399677 3909306 5999430 6515510 6799354 9773265 10199031 11076367 16998385 19546530 20198081 20398062 22152734 33229101 33996770 40396162 50995155 55381835 60594243 66458202 100990405 101990310 110763670 121188486 166145505 201980810 302971215 332291010 343367377 605942430 686734754 1030102131 1716836885 2060204262 3433673770 5150510655 10301021310