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3131042343 = 3112136173149
BaseRepresentation
bin1011101010011111…
…1110101000100111
322002012121102122020
42322213332220213
522403021323333
61234405034223
7140406264222
oct27247765047
98065542566
103131042343
111367434500
127346b5973
133ab8a65a0
14219b985b9
15134d2b3b3
hexba9fea27

3131042343 has 96 divisors (see below), whose sum is σ = 5125713600. Its totient is φ = 1687910400.

The previous prime is 3131042329. The next prime is 3131042347. The reversal of 3131042343 is 3432401313.

It is not a de Polignac number, because 3131042343 - 212 = 3131038247 is a prime.

It is a super-3 number, since 3×31310423433 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131042347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21013633 + ... + 21013781.

It is an arithmetic number, because the mean of its divisors is an integer number (53392850).

Almost surely, 23131042343 is an apocalyptic number.

3131042343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3131042343 is a deficient number, since it is larger than the sum of its proper divisors (1994671257).

3131042343 is a wasteful number, since it uses less digits than its factorization.

3131042343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3131042343 is about 55955.7176971219. The cubic root of 3131042343 is about 1462.9505514031.

Adding to 3131042343 its reverse (3432401313), we get a palindrome (6563443656).

The spelling of 3131042343 in words is "three billion, one hundred thirty-one million, forty-two thousand, three hundred forty-three".

Divisors: 1 3 11 13 33 39 61 73 121 143 149 183 219 363 429 447 671 793 803 949 1573 1639 1937 2013 2379 2409 2847 4453 4719 4917 5811 7381 8723 8833 9089 10439 10877 13359 18029 21307 22143 26169 26499 27267 31317 32631 48983 54087 57889 63921 95953 99979 114829 118157 119647 141401 146949 173667 234377 287859 299937 344487 354471 358941 424203 538813 636779 663497 703131 1099769 1299727 1316117 1555411 1616439 1910337 1990491 3299307 3899181 3948351 4666233 7004569 7298467 8625461 14296997 17109521 21013707 21895401 25876383 42890991 51328563 80283137 94880071 240849411 284640213 1043680781 3131042343