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112123033201332 = 223216371902583201
BaseRepresentation
bin11001011111100110101101…
…100100001010101010110100
3112200222212010222001211120200
4121133212231210022222310
5104144010432444420312
61034244335501200500
732421423200133606
oct3137465544125264
9480885128054520
10112123033201332
11327a912522315a
12106aa240b60130
134a7420625a57a
141d98ad8903176
15ce689dae70dc
hex65f9ad90aab4

112123033201332 has 36 divisors (see below), whose sum is σ = 283595246923716. Its totient is φ = 37351513382400.

The previous prime is 112123033201273. The next prime is 112123033201379. The reversal of 112123033201332 is 233102330321211.

112123033201332 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 3 + 0 + 3 + 320 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39711851406756 + 72411181794576 = 6301734^2 + 8509476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 112123033201296 and 112123033201305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951232669 + ... + 951350532.

It is an arithmetic number, because the mean of its divisors is an integer number (7877645747881).

Almost surely, 2112123033201332 is an apocalyptic number.

112123033201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112123033201332 is an abundant number, since it is smaller than the sum of its proper divisors (171472213722384).

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

112123033201332 is a wasteful number, since it uses less digits than its factorization.

112123033201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902584848 (or 1902584843 counting only the distinct ones).

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

Adding to 112123033201332 its reverse (233102330321211), we get a palindrome (345225363522543).

The spelling of 112123033201332 in words is "one hundred twelve trillion, one hundred twenty-three billion, thirty-three million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1637 3274 4911 6548 9822 14733 19644 29466 58932 1902583201 3805166402 5707749603 7610332804 11415499206 17123248809 22830998412 34246497618 68492995236 3114528700037 6229057400074 9343586100111 12458114800148 18687172200222 28030758300333 37374344400444 56061516600666 112123033201332