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3112013424 = 2431319126111
BaseRepresentation
bin1011100101111101…
…1000111001110000
322000212210122212110
42321133120321300
522333133412144
61232445125320
7140055451302
oct27137307160
98025718773
103112013424
111357717823
1272a259840
133a7973180
14217443972
1513331d0b9
hexb97d8e70

3112013424 has 80 divisors (see below), whose sum is σ = 8703442944. Its totient is φ = 952492800.

The previous prime is 3112013417. The next prime is 3112013431. The reversal of 3112013424 is 4243102113.

It is an interprime number because it is at equal distance from previous prime (3112013417) and next prime (3112013431).

It is a self number, because there is not a number n which added to its sum of digits gives 3112013424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106129 + ... + 132239.

Almost surely, 23112013424 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 3112013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351721472).

3112013424 is an abundant number, since it is smaller than the sum of its proper divisors (5591429520).

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

3112013424 is a wasteful number, since it uses less digits than its factorization.

3112013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26326 (or 26320 counting only the distinct ones).

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

The square root of 3112013424 is about 55785.4230422249. The cubic root of 3112013424 is about 1459.9808316743.

Adding to 3112013424 its reverse (4243102113), we get a palindrome (7355115537).

It can be divided in two parts, 31120 and 13424, that added together give a palindrome (44544).

The spelling of 3112013424 in words is "three billion, one hundred twelve million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 624 764 1146 1528 2292 2483 3056 4584 4966 7449 9168 9932 14898 19864 26111 29796 39728 52222 59592 78333 104444 119184 156666 208888 313332 339443 417776 626664 678886 1018329 1253328 1357772 2036658 2715544 4073316 4987201 5431088 8146632 9974402 14961603 16293264 19948804 29923206 39897608 59846412 64833613 79795216 119692824 129667226 194500839 239385648 259334452 389001678 518668904 778003356 1037337808 1556006712 3112013424