Search a number
-
+
1211001200010 = 232571922224127
BaseRepresentation
bin10001100111110101010…
…010111101110110001010
311021202210202101222022200
4101213311102331312022
5124320112301400020
62324154250301030
7153330511234320
oct21476522756612
94252722358280
101211001200010
11427645674528
12176849a27776
138a273842604
144288162bd10
152177a915590
hex119f54bdd8a

1211001200010 has 48 divisors (see below), whose sum is σ = 3598403567616. Its totient is φ = 276800274144.

The previous prime is 1211001199999. The next prime is 1211001200023. The reversal of 1211001200010 is 100021001121.

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 = 1211001199965 and 1211001200001.

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 23 ways as a sum of consecutive naturals, for example, 961111434 + ... + 961112693.

It is an arithmetic number, because the mean of its divisors is an integer number (74966740992).

Almost surely, 21211001200010 is an apocalyptic number.

1211001200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1211001200010 is an abundant number, since it is smaller than the sum of its proper divisors (2387402367606).

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

1211001200010 is a wasteful number, since it uses less digits than its factorization.

1211001200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922224147 (or 1922224144 counting only the distinct ones).

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

Adding to 1211001200010 its reverse (100021001121), we get a palindrome (1311022201131).

The spelling of 1211001200010 in words is "one trillion, two hundred eleven billion, one million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1922224127 3844448254 5766672381 9611120635 11533344762 13455568889 17300017143 19222241270 26911137778 28833361905 34600034286 40366706667 57666723810 67277844445 80733413334 86500085715 121100120001 134555688890 173000171430 201833533335 242200240002 403667066670 605500600005 1211001200010