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1021001012010 = 232576132643779
BaseRepresentation
bin11101101101110000110…
…01110001001100101010
310121121101022112101001200
432312320121301030222
5113212002224341020
62101012535025030
7133523233260210
oct16667031611452
93547338471050
101021001012010
113640054aa071
12145a6320b176
1375384176175
14375b9660cb0
151b85a313590
hexedb867132a

1021001012010 has 96 divisors (see below), whose sum is σ = 3038781882240. Its totient is φ = 232990867584.

The previous prime is 1021001011993. The next prime is 1021001012023. The reversal of 1021001012010 is 102101001201.

It is a happy number.

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 = 1021001011983 and 1021001012001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935700 + ... + 1708079.

It is an arithmetic number, because the mean of its divisors is an integer number (31653977940).

Almost surely, 21021001012010 is an apocalyptic number.

1021001012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021001012010 is an abundant number, since it is smaller than the sum of its proper divisors (2017780870230).

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

1021001012010 is a wasteful number, since it uses less digits than its factorization.

1021001012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644412 (or 2644409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021001012010 its reverse (102101001201), we get a palindrome (1123102013211).

The spelling of 1021001012010 in words is "one trillion, twenty-one billion, one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 613 630 1226 1839 3065 3678 4291 5517 6130 8582 9195 11034 12873 18390 21455 25746 27585 38619 42910 55170 64365 77238 128730 193095 386190 2643779 5287558 7931337 13218895 15862674 18506453 23794011 26437790 37012906 39656685 47588022 55519359 79313370 92532265 111038718 118970055 166558077 185064530 237940110 277596795 333116154 555193590 832790385 1620636527 1665580770 3241273054 4861909581 8103182635 9723819162 11344455689 14585728743 16206365270 22688911378 24309547905 29171457486 34033367067 48619095810 56722278445 68066734134 72928643715 102100101201 113444556890 145857287430 170166835335 204200202402 340333670670 510500506005 1021001012010