Search a number
-
+
10000211020120 = 235514814856263
BaseRepresentation
bin1001000110000101101100…
…0001101000100101011000
31022102000021220022012000101
42101201123001220211120
52302320413010120440
633134011123545144
72051330360110306
oct221413301504530
938360256265011
1010000211020120
11320607a463612
12115613652b1b4
13577028aa07b9
1426802717d276
151251dd72769a
hex9185b068958

10000211020120 has 32 divisors (see below), whose sum is σ = 22500916492320. Its totient is φ = 4000005884160.

The previous prime is 10000211020087. The next prime is 10000211020141. The reversal of 10000211020120 is 2102011200001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000211020097 and 10000211020106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368892 + ... + 4487371.

It is an arithmetic number, because the mean of its divisors is an integer number (703153640385).

Almost surely, 210000211020120 is an apocalyptic number.

10000211020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000211020120 is an abundant number, since it is smaller than the sum of its proper divisors (12500705472200).

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

10000211020120 is a wasteful number, since it uses less digits than its factorization.

10000211020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907755 (or 4907751 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000211020120 its reverse (2102011200001), we get a palindrome (12102222220121).

The spelling of 10000211020120 in words is "ten trillion, two hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 51481 102962 205924 257405 411848 514810 1029620 2059240 4856263 9712526 19425052 24281315 38850104 48562630 97125260 194250520 250005275503 500010551006 1000021102012 1250026377515 2000042204024 2500052755030 5000105510060 10000211020120