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1031310412029 = 3429439042321
BaseRepresentation
bin11110000000111101110…
…01000000100011111101
310122120222210111011020000
433000132321000203331
5113344110431141104
62105435533144513
7134336555602062
oct17003671004375
93576883434200
101031310412029
11368415928977
12147a5b92b139
1376337ca2b71
1437cb6922c69
151bc6043a639
hexf01ee408fd

1031310412029 has 20 divisors (see below), whose sum is σ = 1593723628860. Its totient is φ = 663831987840.

The previous prime is 1031310412003. The next prime is 1031310412057. The reversal of 1031310412029 is 9202140131301.

1031310412029 is a `hidden beast` number, since 103 + 1 + 310 + 41 + 202 + 9 = 666.

1031310412029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 230518095129 + 800792316900 = 480123^2 + 894870^2 .

It is not a de Polignac number, because 1031310412029 - 220 = 1031309363453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1031310411993 and 1031310412011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031310412729) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219518812 + ... + 219523509.

It is an arithmetic number, because the mean of its divisors is an integer number (79686181443).

Almost surely, 21031310412029 is an apocalyptic number.

It is an amenable number.

1031310412029 is a deficient number, since it is larger than the sum of its proper divisors (562413216831).

1031310412029 is an equidigital number, since it uses as much as digits as its factorization.

1031310412029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439042362 (or 439042353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1031310412029 in words is "one trillion, thirty-one billion, three hundred ten million, four hundred twelve thousand, twenty-nine".

Divisors: 1 3 9 27 29 81 87 261 783 2349 439042321 1317126963 3951380889 11854142667 12732227309 35562428001 38196681927 114590045781 343770137343 1031310412029