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10212200101020 = 22351787271335107
BaseRepresentation
bin1001010010011011011010…
…0011110011010010011100
31100011021110210011021200010
42110212312203303102130
52314304041211213040
633415230413403220
72102543560423041
oct224466643632234
940137423137603
1010212200101020
113287a737a8735
12118b239199510
13591010c00488
142743b76391c8
1512a9994b1e80
hex949b68f349c

10212200101020 has 96 divisors (see below), whose sum is σ = 28621522315008. Its totient is φ = 2720648719872.

The previous prime is 10212200101007. The next prime is 10212200101043. The reversal of 10212200101020 is 2010100221201.

10212200101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10212200100987 and 10212200101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290870307 + ... + 290905413.

It is an arithmetic number, because the mean of its divisors is an integer number (298140857448).

Almost surely, 210212200101020 is an apocalyptic number.

10212200101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212200101020 is an abundant number, since it is smaller than the sum of its proper divisors (18409322213988).

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

10212200101020 is a wasteful number, since it uses less digits than its factorization.

10212200101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39619 (or 39617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212200101020 its reverse (2010100221201), we get a palindrome (12222300322221).

The spelling of 10212200101020 in words is "ten trillion, two hundred twelve billion, two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1787 2713 3574 5361 5426 7148 8139 8935 10722 10852 13565 16278 17870 21444 26805 27130 32556 35107 35740 40695 53610 54260 70214 81390 105321 107220 140428 162780 175535 210642 351070 421284 526605 702140 1053210 2106420 4848131 9696262 14544393 19392524 24240655 29088786 48481310 58177572 62736209 72721965 95245291 96962620 125472418 145443930 188208627 190490582 250944836 285735873 290887860 313681045 376417254 380981164 476226455 571471746 627362090 752834508 941043135 952452910 1142943492 1254724180 1428679365 1882086270 1904905820 2857358730 3764172540 5714717460 170203335017 340406670034 510610005051 680813340068 851016675085 1021220010102 1702033350170 2042440020204 2553050025255 3404066700340 5106100050510 10212200101020