Search a number
-
+
1001211200121 = 31150396020983
BaseRepresentation
bin11101001000111001101…
…01101000001001111001
310112201022010111202200210
432210130311220021321
5112400440031400441
62043541114421333
7132222642532506
oct16443465501171
93481263452623
101001211200121
1135667a691530
1214205b731849
137354c1b1bc2
143665d2504ad
151b09cc65616
hexe91cd68279

1001211200121 has 16 divisors (see below), whose sum is σ = 1456596449280. Its totient is φ = 606674146320.

The previous prime is 1001211200117. The next prime is 1001211200123. The reversal of 1001211200121 is 1210021121001.

1001211200121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001211200121 - 22 = 1001211200117 is a prime.

It is a super-2 number, since 2×10012112001212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001211200097 and 1001211200106.

It is not an unprimeable number, because it can be changed into a prime (1001211200123) 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, 2844205 + ... + 3176778.

It is an arithmetic number, because the mean of its divisors is an integer number (91037278080).

Almost surely, 21001211200121 is an apocalyptic number.

1001211200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001211200121 is a deficient number, since it is larger than the sum of its proper divisors (455385249159).

1001211200121 is a wasteful number, since it uses less digits than its factorization.

1001211200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026036.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001211200121 its reverse (1210021121001), we get a palindrome (2211232321122).

The spelling of 1001211200121 in words is "one trillion, one billion, two hundred eleven million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 5039 15117 55429 166287 6020983 18062949 66230813 198692439 30339733337 91019200011 333737066707 1001211200121