Search a number
-
+
233120140355322 = 232111769257320367
BaseRepresentation
bin110101000000010110000011…
…001001111110011011111010
31010120102001211101212111022100
4311000112003021332123322
5221023420021412332242
62143445525233004230
7100050242253313533
oct6500260311763372
91116361741774270
10233120140355322
116830877288a230
12221902b33b3676
13a01019a51836c
14417d109b0768a
151be3ecaa3954c
hexd4058327e6fa

233120140355322 has 48 divisors (see below), whose sum is σ = 583423666780032. Its totient is φ = 66487027551360.

The previous prime is 233120140355287. The next prime is 233120140355357. The reversal of 233120140355322 is 223553041021332.

233120140355322 is a `hidden beast` number, since 2 + 3 + 31 + 20 + 1 + 40 + 35 + 532 + 2 = 666.

233120140355322 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233120140355287) and next prime (233120140355357).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34628656818 + ... + 34628663549.

It is an arithmetic number, because the mean of its divisors is an integer number (12154659724584).

Almost surely, 2233120140355322 is an apocalyptic number.

233120140355322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

233120140355322 is an abundant number, since it is smaller than the sum of its proper divisors (350303526424710).

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

233120140355322 is a wasteful number, since it uses less digits than its factorization.

233120140355322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69257320403 (or 69257320400 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 233120140355322 its reverse (223553041021332), we get a palindrome (456673181376654).

The spelling of 233120140355322 in words is "two hundred thirty-three trillion, one hundred twenty billion, one hundred forty million, three hundred fifty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 69257320367 138514640734 207771961101 415543922202 623315883303 761830524037 1177374446239 1246631766606 1523661048074 2285491572111 2354748892478 3532123338717 4570983144222 6856474716333 7064246677434 10596370016151 12951118908629 13712949432666 21192740032302 25902237817258 38853356725887 77706713451774 116560070177661 233120140355322