Search a number
-
+
1031002132223 = 71998316134889
BaseRepresentation
bin11110000000011001000…
…01000000111011111111
310122120012022101220211102
433000030201000323333
5113342443021212343
62105345201443315
7134326123346120
oct17001441007377
93576168356742
101031002132223
11368277909778
1214799464053b
13762b916648b
1437c879d6047
151bc433433b8
hexf00c840eff

1031002132223 has 32 divisors (see below), whose sum is σ = 1242588902400. Its totient is φ = 835663585536.

The previous prime is 1031002132187. The next prime is 1031002132243. The reversal of 1031002132223 is 3222312001301.

It is a cyclic number.

It is not a de Polignac number, because 1031002132223 - 28 = 1031002131967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031002132195 and 1031002132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031002132243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 210879563 + ... + 210884451.

It is an arithmetic number, because the mean of its divisors is an integer number (38830903200).

Almost surely, 21031002132223 is an apocalyptic number.

1031002132223 is a deficient number, since it is larger than the sum of its proper divisors (211586770177).

1031002132223 is a wasteful number, since it uses less digits than its factorization.

1031002132223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1031002132223 its reverse (3222312001301), we get a palindrome (4253314133524).

The spelling of 1031002132223 in words is "one trillion, thirty-one billion, two million, one hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 7 19 133 983 1613 4889 6881 11291 18677 30647 34223 92891 130739 214529 650237 1585579 4805887 7885957 11099053 30126001 33641209 55201699 91311853 149833183 210882007 639182971 1048832281 7751895731 54263270117 147286018889 1031002132223