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10138006710 = 2335132888321
BaseRepresentation
bin10010111000100010…
…11011010010110110
3222011112110002202000
421130101123102312
5131230312203320
64353552400130
7506141430606
oct113421332266
928145402660
1010138006710
114332705547
121b6b246046
13c5747a450
146c2608c06
153e506dc90
hex25c45b4b6

10138006710 has 64 divisors (see below), whose sum is σ = 29114285760. Its totient is φ = 2495508480.

The previous prime is 10138006699. The next prime is 10138006751. The reversal of 10138006710 is 1760083101.

10138006710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440651 + ... + 1447670.

It is an arithmetic number, because the mean of its divisors is an integer number (454910715).

Almost surely, 210138006710 is an apocalyptic number.

10138006710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10138006710 is an abundant number, since it is smaller than the sum of its proper divisors (18976279050).

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

10138006710 is a wasteful number, since it uses less digits than its factorization.

10138006710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888350 (or 2888344 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10138006710 its reverse (1760083101), we get a palindrome (11898089811).

The spelling of 10138006710 in words is "ten billion, one hundred thirty-eight million, six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 2888321 5776642 8664963 14441605 17329926 25994889 28883210 37548173 43324815 51989778 75096346 77984667 86649630 112644519 129974445 155969334 187740865 225289038 259948890 337933557 375481730 389923335 563222595 675867114 779846670 1013800671 1126445190 1689667785 2027601342 3379335570 5069003355 10138006710