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1032303031331 = 112132513597283
BaseRepresentation
bin11110000010110100000…
…11100011010000100011
310122200112222021102220212
433001122003203100203
5113403124034000311
62110122232324335
7134403300662645
oct17013203432043
93580488242825
101032303031331
11368885170500
121480982436ab
1376465827770
1437d6c6ac895
151bcbc65ec8b
hexf05a0e3423

1032303031331 has 48 divisors (see below), whose sum is σ = 1230417941760. Its totient is φ = 860295480000.

The previous prime is 1032303031327. The next prime is 1032303031387. The reversal of 1032303031331 is 1331303032301.

It is not a de Polignac number, because 1032303031331 - 22 = 1032303031327 is a prime.

It is a super-2 number, since 2×10323030313312 (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 = 1032303031297 and 1032303031306.

It is not an unprimeable number, because it can be changed into a prime (1032303031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141737816 + ... + 141745098.

It is an arithmetic number, because the mean of its divisors is an integer number (25633707120).

Almost surely, 21032303031331 is an apocalyptic number.

1032303031331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032303031331 is a deficient number, since it is larger than the sum of its proper divisors (198114910429).

1032303031331 is a wasteful number, since it uses less digits than its factorization.

1032303031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1032303031331 its reverse (1331303032301), we get a palindrome (2363606063632).

The spelling of 1032303031331 in words is "one trillion, thirty-two billion, three hundred three million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 11 13 121 143 251 359 1573 2761 3263 3949 4667 7283 30371 35893 43439 51337 80113 90109 94679 394823 564707 881243 991199 1041469 1171417 1828033 2614597 10903189 11456159 12885587 20108363 23764429 28760567 33989761 141741457 221191993 261408719 316366237 373887371 656263847 2875495909 4112761081 7218902317 8531430011 79407925487 93845730121 1032303031331