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342205113132 = 2232191313819083
BaseRepresentation
bin1001111101011010000…
…00111010001100101100
31012201021212021220210100
410332231000322030230
521101314002110012
6421112403111100
733503106316401
oct4765500721454
91181255256710
10342205113132
11122145957493
12563a3972490
13263679b2c2c
14127c451c2a8
158d7ca728dc
hex4fad03a32c

342205113132 has 72 divisors (see below), whose sum is σ = 917496740160. Its totient is φ = 107239822560.

The previous prime is 342205113097. The next prime is 342205113143. The reversal of 342205113132 is 231311502243.

342205113132 is a `hidden beast` number, since 342 + 2 + 0 + 5 + 1 + 1 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 342205113096 and 342205113105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819938 + ... + 1999145.

It is an arithmetic number, because the mean of its divisors is an integer number (12743010280).

Almost surely, 2342205113132 is an apocalyptic number.

It is an amenable number.

342205113132 is an abundant number, since it is smaller than the sum of its proper divisors (575291627028).

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

342205113132 is a wasteful number, since it uses less digits than its factorization.

342205113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819243 (or 3819238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 342205113132 its reverse (231311502243), we get a palindrome (573516615375).

The spelling of 342205113132 in words is "three hundred forty-two billion, two hundred five million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1572 2358 2489 4716 4978 7467 9956 14934 22401 29868 44802 89604 3819083 7638166 11457249 15276332 22914498 34371747 45828996 68743494 72562577 137486988 145125154 217687731 290250308 435375462 500299873 653063193 870750924 1000599746 1306126386 1500899619 2001199492 2612252772 3001799238 4502698857 6003598476 9005397714 9505697587 18010795428 19011395174 28517092761 38022790348 57034185522 85551278283 114068371044 171102556566 342205113132