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1004042012331 = 31726374855887
BaseRepresentation
bin11101001110001011001…
…00010100011010101011
310112222121102011221000110
432213011210110122223
5112422234223343311
62045130040505403
7132353045201361
oct16470544243253
93488542157013
101004042012331
113578a25a4656
1214270b77b263
13738b0809a07
143684b1b5631
151b1b65398a6
hexe9c59146ab

1004042012331 has 16 divisors (see below), whose sum is σ = 1422860719104. Its totient is φ = 627591748224.

The previous prime is 1004042012273. The next prime is 1004042012333. The reversal of 1004042012331 is 1332102404001.

1004042012331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004042012331 - 213 = 1004042004139 is a prime.

It is a super-2 number, since 2×10040420123312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004042012298 and 1004042012307.

It is not an unprimeable number, because it can be changed into a prime (1004042012333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37414531 + ... + 37441356.

It is an arithmetic number, because the mean of its divisors is an integer number (88928794944).

Almost surely, 21004042012331 is an apocalyptic number.

1004042012331 is a deficient number, since it is larger than the sum of its proper divisors (418818706773).

1004042012331 is a wasteful number, since it uses less digits than its factorization.

1004042012331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74856170.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1004042012331 its reverse (1332102404001), we get a palindrome (2336144416332).

The spelling of 1004042012331 in words is "one trillion, four billion, forty-two million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 17 51 263 789 4471 13413 74855887 224567661 1272550079 3817650237 19687098281 59061294843 334680670777 1004042012331