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4200800331 = 3721316713163
BaseRepresentation
bin1111101001100011…
…0010000001001011
3101211202112202201110
43322120302001023
532100401102311
61532501421403
7206046133200
oct37230620113
911752482643
104200800331
111866273512
12992a0a863
1351c3c9090
142bbca3ca7
15198bdb8a6
hexfa63204b

4200800331 has 48 divisors (see below), whose sum is σ = 7059273984. Its totient is φ = 2202371136.

The previous prime is 4200800321. The next prime is 4200800341. The reversal of 4200800331 is 1330080024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4200800321) and next prime (4200800341).

It is not a de Polignac number, because 4200800331 - 215 = 4200767563 is a prime.

It is a super-2 number, since 2×42008003312 = 35293446841859419122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4200800298 and 4200800307.

It is not an unprimeable number, because it can be changed into a prime (4200800311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312556 + ... + 325718.

It is an arithmetic number, because the mean of its divisors is an integer number (147068208).

Almost surely, 24200800331 is an apocalyptic number.

4200800331 is a deficient number, since it is larger than the sum of its proper divisors (2858473653).

4200800331 is a wasteful number, since it uses less digits than its factorization.

4200800331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360 (or 13353 counting only the distinct ones).

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

The square root of 4200800331 is about 64813.5813776711. The cubic root of 4200800331 is about 1613.5311218143.

Adding to 4200800331 its reverse (1330080024), we get a palindrome (5530880355).

The spelling of 4200800331 in words is "four billion, two hundred million, eight hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 49 91 147 167 273 501 637 1169 1911 2171 3507 6513 8183 13163 15197 24549 39489 45591 92141 106379 171119 276423 319137 513357 644987 1197833 1934961 2198221 3593499 6594663 8384831 15387547 25154493 28576873 46162641 85730619 107712829 200038111 323138487 600114333 1400266777 4200800331