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10012001211020 = 22559167197925673
BaseRepresentation
bin1001000110110001100111…
…0001101001001010001100
31022110010201120121221101102
42101230121301221022030
52303014034302223040
633143241100402232
72052225503063564
oct221543161511214
938403646557342
1010012001211020
11321007a742536
121158486b46378
13578187625313
14268824d83da4
1512567d852515
hex91b19c6928c

10012001211020 has 96 divisors (see below), whose sum is σ = 21521302387200. Its totient is φ = 3911218333184.

The previous prime is 10012001210993. The next prime is 10012001211071. The reversal of 10012001211020 is 2011210021001.

It is a junction number, because it is equal to n+sod(n) for n = 10012001210992 and 10012001211010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389968904 + ... + 389994576.

It is an arithmetic number, because the mean of its divisors is an integer number (224180233200).

Almost surely, 210012001211020 is an apocalyptic number.

10012001211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012001211020 is an abundant number, since it is smaller than the sum of its proper divisors (11509301176180).

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

10012001211020 is a wasteful number, since it uses less digits than its factorization.

10012001211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27887 (or 27885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10012001211020 its reverse (2011210021001), we get a palindrome (12023211232021).

The spelling of 10012001211020 in words is "ten trillion, twelve billion, one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 167 236 295 334 590 668 835 1180 1670 1979 3340 3958 7916 9853 9895 19706 19790 25673 39412 39580 49265 51346 98530 102692 116761 128365 197060 233522 256730 330493 467044 513460 583805 660986 1167610 1321972 1514707 1652465 2335220 3029414 3304930 4287391 6058828 6609860 7573535 8574782 15147070 17149564 19499087 21436955 30294140 38998174 42873910 50806867 77996348 85747820 97495435 101613734 194990870 203227468 252956069 254034335 389981740 505912138 508068670 1011824276 1016137340 1264780345 2529560690 2997605153 5059121380 5995210306 8484746789 11990420612 14988025765 16969493578 29976051530 33938987156 42423733945 59952103060 84847467890 169694935780 500600060551 1001200121102 2002400242204 2503000302755 5006000605510 10012001211020