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10132130310 = 2355311356393
BaseRepresentation
bin10010110111110110…
…00000101000000110
3222011010101112211120
421123323000220012
5131222311132220
64353222414410
7506040454341
oct113373005006
928133345746
1010132130310
11432a361515
121b69291406
13c561a07a3
146c1919458
153e47aca40
hex25bec0a06

10132130310 has 64 divisors (see below), whose sum is σ = 24995625408. Its totient is φ = 2627416064.

The previous prime is 10132130299. The next prime is 10132130321. The reversal of 10132130310 is 1303123101.

It is an interprime number because it is at equal distance from previous prime (10132130299) and next prime (10132130321).

It is a super-2 number, since 2×101321303102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10132130310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151474 + ... + 207866.

It is an arithmetic number, because the mean of its divisors is an integer number (390556647).

Almost surely, 210132130310 is an apocalyptic number.

10132130310 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 10132130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497812704).

10132130310 is an abundant number, since it is smaller than the sum of its proper divisors (14863495098).

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

10132130310 is a wasteful number, since it uses less digits than its factorization.

10132130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56569.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10132130310 its reverse (1303123101), we get a palindrome (11435253411).

The spelling of 10132130310 in words is "ten billion, one hundred thirty-two million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 113 159 226 265 318 339 530 565 678 795 1130 1590 1695 3390 5989 11978 17967 29945 35934 56393 59890 89835 112786 169179 179670 281965 338358 563930 845895 1691790 2988829 5977658 6372409 8966487 12744818 14944145 17932974 19117227 29888290 31862045 38234454 44832435 63724090 89664870 95586135 191172270 337737677 675475354 1013213031 1688688385 2026426062 3377376770 5066065155 10132130310