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10213221032120 = 2354315711037503
BaseRepresentation
bin1001010010011111001101…
…1010010110000010111000
31100011101002221012221212002
42110213303122112002320
52314313134041011440
633415520003440132
72102611065251411
oct224476332260270
940141087187762
1010213221032120
113288448018347
12118b483086048
13591144588812
14274473074808
1512aa08e2a115
hex949f36960b8

10213221032120 has 64 divisors (see below), whose sum is σ = 23073424957440. Its totient is φ = 4068667843200.

The previous prime is 10213221032087. The next prime is 10213221032129. The reversal of 10213221032120 is 2123012231201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10213221032092 and 10213221032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213221032129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9325289 + ... + 10362791.

It is an arithmetic number, because the mean of its divisors is an integer number (360522264960).

Almost surely, 210213221032120 is an apocalyptic number.

10213221032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213221032120 is an abundant number, since it is smaller than the sum of its proper divisors (12860203925320).

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

10213221032120 is a wasteful number, since it uses less digits than its factorization.

10213221032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038516 (or 1038512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10213221032120 its reverse (2123012231201), we get a palindrome (12336233263321).

The spelling of 10213221032120 in words is "ten trillion, two hundred thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 431 571 862 1142 1724 2155 2284 2855 3448 4310 4568 5710 8620 11420 17240 22840 246101 492202 984404 1037503 1230505 1968808 2075006 2461010 4150012 4922020 5187515 8300024 9844040 10375030 20750060 41500120 447163793 592414213 894327586 1184828426 1788655172 2235818965 2369656852 2962071065 3577310344 4471637930 4739313704 5924142130 8943275860 11848284260 17886551720 23696568520 255330525803 510661051606 1021322103212 1276652629015 2042644206424 2553305258030 5106610516060 10213221032120