Search a number
-
+
33242097953 is a prime number
BaseRepresentation
bin11110111101011000…
…100010100100100001
310011210200212112200002
4132331120202210201
51021034434113303
623134325305345
72254525112321
oct367530424441
9104720775602
1033242097953
1113109330229
126538865255
133199c8335c
141874c71281
15ce8590788
hex7bd622921

33242097953 has 2 divisors, whose sum is σ = 33242097954. Its totient is φ = 33242097952.

The previous prime is 33242097949. The next prime is 33242097979. The reversal of 33242097953 is 35979024233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27696614929 + 5545483024 = 166423^2 + 74468^2 .

It is an emirp because it is prime and its reverse (35979024233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33242097953 - 22 = 33242097949 is a prime.

It is a super-2 number, since 2×332420979532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33242097898 and 33242097907.

It is not a weakly prime, because it can be changed into another prime (33242097943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16621048976 + 16621048977.

It is an arithmetic number, because the mean of its divisors is an integer number (16621048977).

Almost surely, 233242097953 is an apocalyptic number.

It is an amenable number.

33242097953 is a deficient number, since it is larger than the sum of its proper divisors (1).

33242097953 is an equidigital number, since it uses as much as digits as its factorization.

33242097953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 47.

The spelling of 33242097953 in words is "thirty-three billion, two hundred forty-two million, ninety-seven thousand, nine hundred fifty-three".