Search a number
-
+
332101231033 = 11213478354121
BaseRepresentation
bin1001101010100101100…
…01101010000110111001
31011202012201001112012211
410311102301222012321
520420120403343113
6412322025535121
732664530613235
oct4652261520671
91152181045184
10332101231033
1111893053a300
12544440444a1
1325417622c80
14121066775c5
15898a9e4b3d
hex4d52c6a1b9

332101231033 has 48 divisors (see below), whose sum is σ = 406325461248. Its totient is φ = 269465644800.

The previous prime is 332101231009. The next prime is 332101231037. The reversal of 332101231033 is 330132101233.

It is not a de Polignac number, because 332101231033 - 25 = 332101231001 is a prime.

It is a super-2 number, since 2×3321012310332 (a number of 24 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 = 332101230995 and 332101231013.

It is not an unprimeable number, because it can be changed into a prime (332101231037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6109213 + ... + 6163333.

It is an arithmetic number, because the mean of its divisors is an integer number (8465113776).

Almost surely, 2332101231033 is an apocalyptic number.

It is an amenable number.

332101231033 is a deficient number, since it is larger than the sum of its proper divisors (74224230215).

332101231033 is a wasteful number, since it uses less digits than its factorization.

332101231033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54286 (or 54275 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 332101231033 its reverse (330132101233), we get a palindrome (662233332266).

The spelling of 332101231033 in words is "three hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, thirty-three".

Divisors: 1 11 13 47 83 121 143 517 611 913 1079 1573 3901 5687 6721 10043 11869 42911 50713 54121 73931 130559 472021 557843 595331 703573 2543687 4492043 6136273 6548641 7739303 27980557 33067931 49412473 58396559 85132333 211126021 307786127 363747241 543537203 642362149 2322386231 2744638273 4001219651 7065983639 25546248541 30191021003 332101231033