Search a number
-
+
112002111332244 = 2232717103927727361
BaseRepresentation
bin11001011101110110000110…
…000011110101111110010100
3112200120022000201020102102200
4121131312012003311332110
5104140020311000112434
61034113020514004500
732406612505200330
oct3135660603657624
9480508021212380
10112002111332244
1132761912a5a161
121068a914576730
134a659a5090743
141d92d06d8a7c0
15ce3672c45199
hex65dd860f5f94

112002111332244 has 288 divisors, whose sum is σ = 345970787774976. Its totient is φ = 29821499965440.

The previous prime is 112002111332239. The next prime is 112002111332311. The reversal of 112002111332244 is 442233111200211.

112002111332244 is a `hidden beast` number, since 1 + 1 + 200 + 21 + 113 + 322 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4093481124 + ... + 4093508484.

It is an arithmetic number, because the mean of its divisors is an integer number (1201287457552).

Almost surely, 2112002111332244 is an apocalyptic number.

112002111332244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002111332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172985393887488).

112002111332244 is an abundant number, since it is smaller than the sum of its proper divisors (233968676442732).

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

112002111332244 is a wasteful number, since it uses less digits than its factorization.

112002111332244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36775 (or 36770 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 112002111332244 its reverse (442233111200211), we get a palindrome (554235222532455).

The spelling of 112002111332244 in words is "one hundred twelve trillion, two billion, one hundred eleven million, three hundred thirty-two thousand, two hundred forty-four".