Search a number
-
+
1012011012221 = 11213914300921
BaseRepresentation
bin11101011101000001000…
…11101001000001111101
310120202011210021001202112
432232200203221001331
5113040044304342341
62052524512103405
7133054401446246
oct16564043510175
93522153231675
101012011012221
11360211919180
12144174534b65
13745807b7871
1436da56cdccd
151b4d0e5eaeb
hexeba08e907d

1012011012221 has 8 divisors (see below), whose sum is σ = 1104063881088. Its totient is φ = 919966788000.

The previous prime is 1012011012203. The next prime is 1012011012251. The reversal of 1012011012221 is 1222101102101.

1012011012221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012011012221 is a prime.

It is a super-2 number, since 2×10120110122212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012011012196 and 1012011012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011012251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1915160 + ... + 2385761.

It is an arithmetic number, because the mean of its divisors is an integer number (138007985136).

Almost surely, 21012011012221 is an apocalyptic number.

1012011012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012011012221 is a deficient number, since it is larger than the sum of its proper divisors (92052868867).

1012011012221 is a wasteful number, since it uses less digits than its factorization.

1012011012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322323.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012011012221 its reverse (1222101102101), we get a palindrome (2234112114322).

The spelling of 1012011012221 in words is "one trillion, twelve billion, eleven million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 21391 235301 4300921 47310131 92001001111 1012011012221