Search a number
-
+
10112235045660 = 2232511419201953
BaseRepresentation
bin1001001100100111000000…
…1011011000001100011100
31022210201110001021022110100
42103021300023120030130
52311134324132430120
633301255135341100
72062404416445666
oct223116013301434
938721401238410
1010112235045660
113249636070000
12117399b081790
1358476c707547
1426d6130b3536
1512809837b490
hex932702d831c

10112235045660 has 360 divisors, whose sum is σ = 35516963336400. Its totient is φ = 2322415687680.

The previous prime is 10112235045643. The next prime is 10112235045667. The reversal of 10112235045660 is 6654053221101.

10112235045660 is a `hidden beast` number, since 1 + 0 + 112 + 2 + 35 + 0 + 456 + 60 = 666.

It is a super-4 number, since 4×101122350456604 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112235045667) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49971244 + ... + 50173196.

It is an arithmetic number, because the mean of its divisors is an integer number (98658231490).

Almost surely, 210112235045660 is an apocalyptic number.

10112235045660 is a gapful number since it is divisible by the number (10) 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 10112235045660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758481668200).

10112235045660 is an abundant number, since it is smaller than the sum of its proper divisors (25404728290740).

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

10112235045660 is a wasteful number, since it uses less digits than its factorization.

10112235045660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202031 (or 201993 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10112235045660 its reverse (6654053221101), we get a palindrome (16766288266761).

The spelling of 10112235045660 in words is "ten trillion, one hundred twelve billion, two hundred thirty-five million, forty-five thousand, six hundred sixty".