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1312000001010 = 233534738336563
BaseRepresentation
bin10011000101111001010…
…010110100001111110010
311122102111112110122222000
4103011321102310033302
5132443434000013020
62442420253154430
7163534404001146
oct23057122641762
94572445418860
101312000001010
114664638845a6
1219233618ba16
139694b25c55a
14477031a7226
15241dc696090
hex131794b43f2

1312000001010 has 128 divisors (see below), whose sum is σ = 3518006722560. Its totient is φ = 347938031808.

The previous prime is 1312000000879. The next prime is 1312000001017. The reversal of 1312000001010 is 101000002131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1312000000983 and 1312000001001.

It is not an unprimeable number, because it can be changed into a prime (1312000001017) 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, 35864989 + ... + 35901551.

It is an arithmetic number, because the mean of its divisors is an integer number (27484427520).

Almost surely, 21312000001010 is an apocalyptic number.

1312000001010 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 1312000001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759003361280).

1312000001010 is an abundant number, since it is smaller than the sum of its proper divisors (2206006721550).

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

1312000001010 is a wasteful number, since it uses less digits than its factorization.

1312000001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37309 (or 37303 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1312000001010 its reverse (101000002131), we get a palindrome (1413000003141).

The spelling of 1312000001010 in words is "one trillion, three hundred twelve billion, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 347 383 694 766 1041 1149 1735 1915 2082 2298 3123 3447 3470 3830 5205 5745 6246 6894 9369 10341 10410 11490 15615 17235 18738 20682 31230 34470 36563 46845 51705 73126 93690 103410 109689 132901 182815 219378 265802 329067 365630 398703 548445 658134 664505 797406 987201 1096890 1196109 1329010 1645335 1974402 1993515 2392218 3290670 3588327 3987030 4936005 5980545 7176654 9872010 11961090 12687361 14003629 17941635 25374722 28007258 35883270 38062083 42010887 63436805 70018145 76124166 84021774 114186249 126032661 126873610 140036290 190310415 210054435 228372498 252065322 342558747 378097983 380620830 420108870 570931245 630163305 685117494 756195966 1141862490 1260326610 1712793735 1890489915 3425587470 3780979830 4859259263 9718518526 14577777789 24296296315 29155555578 43733333367 48592592630 72888888945 87466666734 131200000101 145777777890 218666666835 262400000202 437333333670 656000000505 1312000001010