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1012333132031 = 13185711419317
BaseRepresentation
bin11101011101100111100…
…00011011100011111111
310120210000020101110001212
432232303300123203333
5113041224240211111
62053020500155035
7133065362434124
oct16566360334377
93523006343055
101012333132031
113603677305a1
12144244398a7b
137460245b8c0
1436dd63c074b
151b4ee38c98b
hexebb3c1b8ff

1012333132031 has 8 divisors (see below), whose sum is σ = 1090213381824. Its totient is φ = 934454092320.

The previous prime is 1012333131961. The next prime is 1012333132037. The reversal of 1012333132031 is 1302313332101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012333132031 is a prime.

It is a super-2 number, since 2×10123331320312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012333131988 and 1012333132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012333132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2204585 + ... + 2623901.

It is an arithmetic number, because the mean of its divisors is an integer number (136276672728).

Almost surely, 21012333132031 is an apocalyptic number.

1012333132031 is a deficient number, since it is larger than the sum of its proper divisors (77880249793).

1012333132031 is a wasteful number, since it uses less digits than its factorization.

1012333132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605041.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1012333132031 its reverse (1302313332101), we get a palindrome (2314646464132).

The spelling of 1012333132031 in words is "one trillion, twelve billion, three hundred thirty-three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 13 185711 419317 2414243 5451121 77871779387 1012333132031