Search a number
-
+
22211311023029 = 175419929243233
BaseRepresentation
bin1010000110011011110010…
…10011011011001110110101
32220122101021110021112202002
411003031321103123032311
510402402231110214104
6115123422503425045
74451466664416332
oct503157123331665
986571243245662
1022211311023029
117093845030037
1225a884b155185
13c5169634babb
1456b067101989
15287b7931201e
hex1433794db3b5

22211311023029 has 16 divisors (see below), whose sum is σ = 23563799676720. Its totient is φ = 20863935037440.

The previous prime is 22211311023023. The next prime is 22211311023047. The reversal of 22211311023029 is 92032011311222.

It can be written as a sum of positive squares in 8 ways, for example, as 32391720529 + 22178919302500 = 179977^2 + 4709450^2 .

It is not a de Polignac number, because 22211311023029 - 232 = 22207016055733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22211311022992 and 22211311023010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211311023023) 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, 91195397 + ... + 91438629.

It is an arithmetic number, because the mean of its divisors is an integer number (1472737479795).

Almost surely, 222211311023029 is an apocalyptic number.

It is an amenable number.

22211311023029 is a deficient number, since it is larger than the sum of its proper divisors (1352488653691).

22211311023029 is a wasteful number, since it uses less digits than its factorization.

22211311023029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253720.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 22211311023029 in words is "twenty-two trillion, two hundred eleven billion, three hundred eleven million, twenty-three thousand, twenty-nine".

Divisors: 1 17 541 9197 9929 168793 243233 4134961 5371589 91317013 131589053 2237013901 2415060457 41056027769 1306547707237 22211311023029