Search a number
-
+
1010110222212 = 2237133732717643
BaseRepresentation
bin11101011001011110100…
…00101100111110000100
310120120021022120221001120
432230233100230332010
5113022201204102322
62052012131353540
7132656321136360
oct16545720547604
93516238527046
101010110222212
1135a426983543
12143923a528b0
1374339a68550
1436c6509c2a0
151b41e147a5c
hexeb2f42cf84

1010110222212 has 192 divisors, whose sum is σ = 2980530868224. Its totient is φ = 259089477120.

The previous prime is 1010110222151. The next prime is 1010110222237. The reversal of 1010110222212 is 2122220110101.

It is a super-2 number, since 2×10101102222122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010110222191 and 1010110222200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132157663 + ... + 132165305.

It is an arithmetic number, because the mean of its divisors is an integer number (15523598272).

Almost surely, 21010110222212 is an apocalyptic number.

1010110222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010110222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490265434112).

1010110222212 is an abundant number, since it is smaller than the sum of its proper divisors (1970420646012).

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

1010110222212 is a wasteful number, since it uses less digits than its factorization.

1010110222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1010110222212 its reverse (2122220110101), we get a palindrome (3132330332313).

The spelling of 1010110222212 in words is "one trillion, ten billion, one hundred ten million, two hundred twenty-two thousand, two hundred twelve".