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10312012000000 = 28562578003
BaseRepresentation
bin1001011000001111001111…
…0011111110101100000000
31100111211002211212002211101
42112003303303332230000
52322423000033000000
633533134541024144
72113006161523054
oct226036363765400
940454084762741
1010312012000000
113316332a38747
1211a6653b55054
1359a559760929
142791656d3c64
1512d38be42e6a
hex960f3cfeb00

10312012000000 has 126 divisors (see below), whose sum is σ = 25729359019364. Its totient is φ = 4124803200000.

The previous prime is 10312011999979. The next prime is 10312012000027. The reversal of 10312012000000 is 21021301.

10312012000000 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 (10).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2710999 + ... + 5289001.

Almost surely, 210312012000000 is an apocalyptic number.

10312012000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864679509682).

10312012000000 is an abundant number, since it is smaller than the sum of its proper divisors (15417347019364).

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

10312012000000 is an frugal number, since it uses more digits than its factorization.

10312012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578049 (or 2578010 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10312012000000 its reverse (21021301), we get a palindrome (10312033021301).

The spelling of 10312012000000 in words is "ten trillion, three hundred twelve billion, twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 2578003 4000000 5156006 10312012 12890015 20624024 25780030 41248048 51560060 64450075 82496096 103120120 128900150 164992192 206240240 257800300 322250375 329984384 412480480 515600600 644500750 659968768 824960960 1031201200 1289001500 1611251875 1649921920 2062402400 2578003000 3222503750 3299843840 4124804800 5156006000 6445007500 8056259375 8249609600 10312012000 12890015000 16112518750 16499219200 20624024000 25780030000 32225037500 40281296875 41248048000 51560060000 64450075000 80562593750 82496096000 103120120000 128900150000 161125187500 206240240000 257800300000 322250375000 412480480000 515600600000 644500750000 1031201200000 1289001500000 2062402400000 2578003000000 5156006000000 10312012000000