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342312213243 = 371113373080813
BaseRepresentation
bin1001111101100110110…
…01011101101011111011
31012201120022211011112010
410332303121131223323
521102023411310433
6421131150421003
733505546542540
oct4766331355373
91181508734463
10342312213243
111221a0358380
1256413801763
1326383c41390
14127d483abc7
158d8717ae63
hex4fb365dafb

342312213243 has 64 divisors (see below), whose sum is σ = 629373330432. Its totient is φ = 159709294080.

The previous prime is 342312213193. The next prime is 342312213259.

It is a happy number.

342312213243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342312213243 - 210 = 342312212219 is a prime.

It is a super-2 number, since 2×3423122132432 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 342312213243.

It is not an unprimeable number, because it can be changed into a prime (342312213443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429296 + ... + 1651517.

It is an arithmetic number, because the mean of its divisors is an integer number (9833958288).

Almost surely, 2342312213243 is an apocalyptic number.

342312213243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342312213243 is a deficient number, since it is larger than the sum of its proper divisors (287061117189).

342312213243 is a wasteful number, since it uses less digits than its factorization.

342312213243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080884.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 342312 and 213243, that added together give a palindrome (555555).

The spelling of 342312213243 in words is "three hundred forty-two billion, three hundred twelve million, two hundred thirteen thousand, two hundred forty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 3080813 9242439 21565691 33888943 40050569 64697073 101666829 113990081 120151707 237222601 280353983 341970243 440556259 711667803 797930567 841061949 1253890891 1321668777 1481871053 2393791701 3083893813 3761672673 4445613159 8777236237 9251681439 10373097371 16300581583 26331708711 31119292113 48901744749 114104071081 342312213243