Search a number
-
+
23311300311342 = 23259149691466389
BaseRepresentation
bin1010100110011100101011…
…10001100011100100101110
310001112112112121012002210200
411103032111301203210232
511023413020334430332
6121325021415414330
74624120516201431
oct523162561434456
9101475477162720
1023311300311342
1174782a333519a
122745a773843a6
131001327b465a4
145a83b6dbb818
152a65a8d9917c
hex153395c6392e

23311300311342 has 48 divisors (see below), whose sum is σ = 51367348422000. Its totient is φ = 7638215663232.

The previous prime is 23311300311337. The next prime is 23311300311413. The reversal of 23311300311342 is 24311300311332.

23311300311342 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 1 + 3 + 0 + 0 + 311 + 342 = 666.

It is a super-2 number, since 2×233113003113422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15163884 + ... + 16630272.

It is an arithmetic number, because the mean of its divisors is an integer number (1070153092125).

Almost surely, 223311300311342 is an apocalyptic number.

23311300311342 is an abundant number, since it is smaller than the sum of its proper divisors (28056048110658).

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

23311300311342 is a wasteful number, since it uses less digits than its factorization.

23311300311342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481425 (or 1481422 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23311300311342 its reverse (24311300311332), we get a palindrome (47622600622674).

The spelling of 23311300311342 in words is "twenty-three trillion, three hundred eleven billion, three hundred million, three hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 14969 29938 44907 89814 134721 269442 883171 1466389 1766342 2649513 2932778 4399167 5299026 7948539 8798334 13197501 15897078 26395002 86516951 173033902 259550853 519101706 778652559 1557305118 21950376941 43900753882 65851130823 131702261646 197553392469 395106784938 1295072239519 2590144479038 3885216718557 7770433437114 11655650155671 23311300311342