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1001231433342 = 232724127687391
BaseRepresentation
bin11101001000111100000…
…10110011111001111110
310112201100112120201110100
432210132002303321332
5112401010221331332
62043543120221530
7132223306522500
oct16443602637176
93481315521410
101001231433342
11356690050aa8
1214206646a8a6
137355344751a
1436661bd9d70
151b09e91067c
hexe91e0b3e7e

1001231433342 has 72 divisors (see below), whose sum is σ = 2585061041472. Its totient is φ = 279088891200.

The previous prime is 1001231433263. The next prime is 1001231433431. The reversal of 1001231433342 is 2433341321001.

It is a happy number.

1001231433342 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 314 + 3 + 3 + 342 = 666.

It is a super-2 number, since 2×10012314333422 (a number of 25 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 35 ways as a sum of consecutive naturals, for example, 13807534 + ... + 13879857.

It is an arithmetic number, because the mean of its divisors is an integer number (35903625576).

Almost surely, 21001231433342 is an apocalyptic number.

1001231433342 is an abundant number, since it is smaller than the sum of its proper divisors (1583829608130).

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

1001231433342 is a wasteful number, since it uses less digits than its factorization.

1001231433342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27687454 (or 27687444 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1001231433342 its reverse (2433341321001), we get a palindrome (3434572754343).

The spelling of 1001231433342 in words is "one trillion, one billion, two hundred thirty-one million, four hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 12054 18081 36162 27687391 55374782 83062173 166124346 193811737 249186519 387623474 498373038 581435211 1135183031 1162870422 1356682159 1744305633 2270366062 2713364318 3405549093 3488611266 4070046477 6811098186 7946281217 8140092954 10216647279 12210139431 15892562434 20433294558 23838843651 24420278862 47677687302 55623968519 71516530953 111247937038 143033061906 166871905557 333743811114 500615716671 1001231433342