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1300001010 = 23571134651
BaseRepresentation
bin100110101111100…
…0111000011110010
310100121011220010120
41031133013003302
510130300013020
6332555311110
744133553260
oct11537070362
93317156116
101300001010
116078a9000
1230344b496
13179438589
14c4921430
15791e0740
hex4d7c70f2

1300001010 has 128 divisors (see below), whose sum is σ = 3922864128. Its totient is φ = 270072000.

The previous prime is 1300000991. The next prime is 1300001039. The reversal of 1300001010 is 101000031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1300001010.

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 63 ways as a sum of consecutive naturals, for example, 277185 + ... + 281835.

It is an arithmetic number, because the mean of its divisors is an integer number (30647376).

Almost surely, 21300001010 is an apocalyptic number.

1300001010 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 1300001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961432064).

1300001010 is an abundant number, since it is smaller than the sum of its proper divisors (2622863118).

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

1300001010 is a wasteful number, since it uses less digits than its factorization.

1300001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4679 counting only the distinct ones).

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

The square root of 1300001010 is about 36055.5267608171. The cubic root of 1300001010 is about 1091.3931657038.

Adding to 1300001010 its reverse (101000031), we get a palindrome (1401001041).

The spelling of 1300001010 in words is "one billion, three hundred million, one thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1155 1210 1331 1694 1815 2310 2541 2662 3630 3993 4235 4651 5082 6655 7986 8470 9302 9317 12705 13310 13953 18634 19965 23255 25410 27906 27951 32557 39930 46510 46585 51161 55902 65114 69765 93170 97671 102322 139530 139755 153483 162785 195342 255805 279510 306966 325570 358127 488355 511610 562771 716254 767415 976710 1074381 1125542 1534830 1688313 1790635 2148762 2813855 3376626 3581270 3939397 5371905 5627710 6190481 7878794 8441565 10743810 11818191 12380962 16883130 18571443 19696985 23636382 30952405 37142886 39393970 43333367 59090955 61904810 86666734 92857215 118181910 130000101 185714430 216666835 260000202 433333670 650000505 1300001010