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10214612112160 = 255401769207029
BaseRepresentation
bin1001010010100100011001…
…0100111001001100100000
31100011111200212210010221001
42110221012110321030200
52314324011200042120
633420310015241344
72102660416243351
oct224510624711440
940144625703831
1010214612112160
113288aa1274375
12118b7b0b19254
135913068331c1
14274565b03d28
1512aa8b10be0a
hex94a46539320

10214612112160 has 96 divisors (see below), whose sum is σ = 24223777023600. Its totient is φ = 4070336102400.

The previous prime is 10214612112157. The next prime is 10214612112169. The reversal of 10214612112160 is 6121121641201.

It can be written as a sum of positive squares in 8 ways, for example, as 9886773416976 + 327838695184 = 3144324^2 + 572572^2 .

It is not an unprimeable number, because it can be changed into a prime (10214612112169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49235526 + ... + 49442554.

Almost surely, 210214612112160 is an apocalyptic number.

10214612112160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214612112160 is an abundant number, since it is smaller than the sum of its proper divisors (14009164911440).

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

10214612112160 is a wasteful number, since it uses less digits than its factorization.

10214612112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208214 (or 208206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 10214612112160 its reverse (6121121641201), we get a palindrome (16335733753361).

The spelling of 10214612112160 in words is "ten trillion, two hundred fourteen billion, six hundred twelve million, one hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 401 769 802 1538 1604 2005 3076 3208 3845 4010 6152 6416 7690 8020 12304 12832 15380 16040 24608 30760 32080 61520 64160 123040 207029 308369 414058 616738 828116 1035145 1233476 1541845 1656232 2070290 2466952 3083690 3312464 4140580 4933904 6167380 6624928 8281160 9867808 12334760 16562320 24669520 33124640 49339040 83018629 159205301 166037258 318410602 332074516 415093145 636821204 664149032 796026505 830186290 1273642408 1328298064 1592053010 1660372580 2547284816 2656596128 3184106020 3320745160 5094569632 6368212040 6641490320 12736424080 13282980640 25472848160 63841325701 127682651402 255365302804 319206628505 510730605608 638413257010 1021461211216 1276826514020 2042922422432 2553653028040 5107306056080 10214612112160