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3131032542 = 2311297173257
BaseRepresentation
bin1011101010011111…
…1100001111011110
322002012120221012020
42322213330033132
522403021020132
61234404521010
7140406223521
oct27247741736
98065527166
103131032542
111367428100
127346b0166
133ab8a1ca1
14219b94bb8
15134d2852c
hexba9fc3de

3131032542 has 96 divisors (see below), whose sum is σ = 7021467936. Its totient is φ = 929955840.

The previous prime is 3131032523. The next prime is 3131032547. The reversal of 3131032542 is 2452301313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131032547) 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, 12182878 + ... + 12183134.

It is an arithmetic number, because the mean of its divisors is an integer number (73140291).

Almost surely, 23131032542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131032542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510733968).

3131032542 is an abundant number, since it is smaller than the sum of its proper divisors (3890435394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131032542 is a wasteful number, since it uses less digits than its factorization.

3131032542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3131032542 is about 55955.6301188719. The cubic root of 3131032542 is about 1462.9490249260.

Adding to 3131032542 its reverse (2452301313), we get a palindrome (5583333855).

The spelling of 3131032542 in words is "three billion, one hundred thirty-one million, thirty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 97 121 173 194 242 257 291 346 363 514 519 582 726 771 1038 1067 1542 1903 2134 2827 3201 3806 5654 5709 6402 8481 11418 11737 16781 16962 20933 23474 24929 31097 33562 35211 41866 44461 49858 50343 62194 62799 70422 74787 88922 93291 100686 125598 133383 149574 184591 186582 266766 274219 369182 489071 548438 553773 822657 978142 1107546 1467213 1645314 2030501 2934426 3016409 4061002 4312717 5379781 6032818 6091503 8625434 9049227 10759562 12183006 12938151 16139343 18098454 25876302 32278686 47439887 94879774 142319661 284639322 521838757 1043677514 1565516271 3131032542