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10010022100020 = 2233587721136919
BaseRepresentation
bin1001000110101010001111…
…0011111011110000110100
31022102221121122120200111000
42101222203303323300310
52303001011124200040
633142312441243300
72052125451652635
oct221524363736064
938387548520430
1010010022100020
11320a254573108
121158014193530
13577c305b2c17
142686b81a588c
151255b4c19130
hex91aa3cfbc34

10010022100020 has 96 divisors (see below), whose sum is σ = 31177802476800. Its totient is φ = 2666295384192.

The previous prime is 10010022099991. The next prime is 10010022100079. The reversal of 10010022100020 is 2000122001001.

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 = 10010022099975 and 10010022100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10094880 + ... + 11042039.

It is an arithmetic number, because the mean of its divisors is an integer number (324768775800).

Almost surely, 210010022100020 is an apocalyptic number.

10010022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010022100020 is an abundant number, since it is smaller than the sum of its proper divisors (21167780376780).

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

10010022100020 is a wasteful number, since it uses less digits than its factorization.

10010022100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137814 (or 21137806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010022100020 its reverse (2000122001001), we get a palindrome (12010144101021).

The spelling of 10010022100020 in words is "ten trillion, ten billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 877 1754 2631 3508 4385 5262 7893 8770 10524 13155 15786 17540 23679 26310 31572 39465 47358 52620 78930 94716 118395 157860 236790 473580 21136919 42273838 63410757 84547676 105684595 126821514 190232271 211369190 253643028 317053785 380464542 422738380 570696813 634107570 760929084 951161355 1141393626 1268215140 1902322710 2282787252 2853484065 3804645420 5706968130 11413936260 18537077963 37074155926 55611233889 74148311852 92685389815 111222467778 166833701667 185370779630 222444935556 278056169445 333667403334 370741559260 500501105001 556112338890 667334806668 834168508335 1001002210002 1112224677780 1668337016670 2002004420004 2502505525005 3336674033340 5005011050010 10010022100020