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10312322000000 = 27565156161
BaseRepresentation
bin1001011000010000011001…
…0010100010010010000000
31100111211220110011201212212
42112010012102202102000
52322424113413000000
633533225413241252
72113016644502126
oct226040622422200
940454813151785
1010312322000000
113316481a22299
1211a671b933228
1359a5a8a50297
1427919494b916
1512d3a9279c35
hex961064a2480

10312322000000 has 112 divisors (see below), whose sum is σ = 25679775005610. Its totient is φ = 4124928000000.

The previous prime is 10312321999891. The next prime is 10312322000017. The reversal of 10312322000000 is 22321301.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 8767710505024 + 1544611494976 = 2961032^2 + 1242824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 578081 + ... + 4578080.

Almost surely, 210312322000000 is an apocalyptic number.

10312322000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312322000000 is an abundant number, since it is smaller than the sum of its proper divisors (15367453005610).

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

10312322000000 is an frugal number, since it uses more digits than its factorization.

10312322000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156205 (or 5156168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10312322000000 its reverse (22321301), we get a palindrome (10312344321301).

The spelling of 10312322000000 in words is "ten trillion, three hundred twelve billion, three hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 5156161 10312322 20624644 25780805 41249288 51561610 82498576 103123220 128904025 164997152 206246440 257808050 329994304 412492880 515616100 644520125 659988608 824985760 1031232200 1289040250 1649971520 2062464400 2578080500 3222600625 3299943040 4124928800 5156161000 6445201250 8249857600 10312322000 12890402500 16113003125 16499715200 20624644000 25780805000 32226006250 41249288000 51561610000 64452012500 80565015625 82498576000 103123220000 128904025000 161130031250 206246440000 257808050000 322260062500 412492880000 515616100000 644520125000 1031232200000 1289040250000 2062464400000 2578080500000 5156161000000 10312322000000