Search a number
-
+
332002020213 = 3439710324409
BaseRepresentation
bin1001101010011001101…
…11001100101101110101
31011201221210101002120000
410311030313030231311
520414420004121323
6412304123301513
732662214415663
oct4651467145565
91151853332500
10332002020213
1111888a537796
125441697a899
13253ccbc7746
14120d740dc33
158981e48e43
hex4d4cdccb75

332002020213 has 20 divisors (see below), whose sum is σ = 497202936780. Its totient is φ = 220777140672.

The previous prime is 332002020191. The next prime is 332002020239. The reversal of 332002020213 is 312020200233.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211359028644 + 120642991569 = 459738^2 + 347337^2 .

It is not a de Polignac number, because 332002020213 - 210 = 332002019189 is a prime.

It is a super-2 number, since 2×3320020202132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002024213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5130048 + ... + 5194361.

It is an arithmetic number, because the mean of its divisors is an integer number (24860146839).

Almost surely, 2332002020213 is an apocalyptic number.

It is an amenable number.

332002020213 is a deficient number, since it is larger than the sum of its proper divisors (165200916567).

332002020213 is a wasteful number, since it uses less digits than its factorization.

332002020213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324818 (or 10324809 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 332002020213 its reverse (312020200233), we get a palindrome (644022220446).

The spelling of 332002020213 in words is "three hundred thirty-two billion, two million, twenty thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 397 1191 3573 10719 32157 10324409 30973227 92919681 278759043 836277129 4098790373 12296371119 36889113357 110667340071 332002020213