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1310000010 = 2351159611103
BaseRepresentation
bin100111000010101…
…0000001110001010
310101021222220011220
41032011100032022
510140330000020
6333553502510
744314550004
oct11605201612
93337886156
101310000010
11612508440
12306871a36
1317b529847
14c5da5374
157a018240
hex4e15038a

1310000010 has 128 divisors (see below), whose sum is σ = 3548344320. Its totient is φ = 306796800.

The previous prime is 1309999987. The next prime is 1310000017. The reversal of 1310000010 is 100000131.

It is a super-2 number, since 2×13100000102 = 3432200052400000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1310000017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187119 + ... + 1188221.

It is an arithmetic number, because the mean of its divisors is an integer number (27721440).

Almost surely, 21310000010 is an apocalyptic number.

1310000010 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 1310000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774172160).

1310000010 is an abundant number, since it is smaller than the sum of its proper divisors (2238344310).

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

1310000010 is a wasteful number, since it uses less digits than its factorization.

1310000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1310000010 is about 36193.9222798525. The cubic root of 1310000010 is about 1094.1841841477.

Adding to 1310000010 its reverse (100000131), we get a palindrome (1410000141).

The spelling of 1310000010 in words is "one billion, three hundred ten million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 61 66 110 118 122 165 177 183 295 305 330 354 366 590 610 649 671 885 915 1103 1298 1342 1770 1830 1947 2013 2206 3245 3309 3355 3599 3894 4026 5515 6490 6618 6710 7198 9735 10065 10797 11030 12133 16545 17995 19470 20130 21594 24266 33090 35990 36399 39589 53985 60665 65077 67283 72798 79178 107970 118767 121330 130154 134566 181995 195231 197945 201849 237534 325385 336415 363990 390462 395890 403698 593835 650770 672830 715847 740113 976155 1009245 1187670 1431694 1480226 1952310 2018490 2147541 2220339 3579235 3700565 3969697 4295082 4440678 7158470 7401130 7939394 10737705 11101695 11909091 19848485 21475410 22203390 23818182 39696970 43666667 59545455 87333334 119090910 131000001 218333335 262000002 436666670 655000005 1310000010