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3131035284 = 22313247107307
BaseRepresentation
bin1011101010011111…
…1100111010010100
322002012121001221210
42322213330322110
522403021112114
61234404541420
7140406234516
oct27247747224
98065531853
103131035284
11136742a173
127346b1870
133ab8a3300
14219b95bb6
15134d29259
hexba9fce94

3131035284 has 144 divisors (see below), whose sum is σ = 8181347328. Its totient is φ = 931042944.

The previous prime is 3131035279. The next prime is 3131035337. The reversal of 3131035284 is 4825301313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10198659 + ... + 10198965.

It is an arithmetic number, because the mean of its divisors is an integer number (56814912).

Almost surely, 23131035284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131035284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090673664).

3131035284 is an abundant number, since it is smaller than the sum of its proper divisors (5050312044).

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

3131035284 is a wasteful number, since it uses less digits than its factorization.

3131035284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3131035284 is about 55955.6546204224. The cubic root of 3131035284 is about 1462.9494519848.

Adding to 3131035284 its reverse (4825301313), we get a palindrome (7956336597).

The spelling of 3131035284 in words is "three billion, one hundred thirty-one million, thirty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 107 141 156 169 188 214 282 307 321 338 428 507 564 611 614 642 676 921 1014 1222 1228 1284 1391 1833 1842 2028 2444 2782 3666 3684 3991 4173 5029 5564 7332 7943 7982 8346 10058 11973 14429 15087 15886 15964 16692 18083 20116 23829 23946 28858 30174 31772 32849 36166 43287 47658 47892 51883 54249 57716 60348 65377 65698 72332 86574 95316 98547 103766 108498 130754 131396 155649 173148 187577 196131 197094 207532 216996 261508 311298 375154 392262 394188 427037 562731 622596 750308 784524 849901 854074 1125462 1281111 1543903 1699802 1708148 2250924 2438501 2549703 2562222 3087806 3399604 4631709 4877002 5099406 5124444 5551481 6175612 7315503 9263418 9754004 10198812 11102962 14631006 16654443 18526836 20070739 22205924 29262012 33308886 40141478 60212217 66617772 80282956 120424434 240848868 260919607 521839214 782758821 1043678428 1565517642 3131035284