Search a number
-
+
31122452240 = 2451153683977
BaseRepresentation
bin11100111111000010…
…101110111100010000
32222022222101101101022
4130333002232330100
51002214321432430
622144130055012
72151146323235
oct347702567420
988288341338
1031122452240
11122208a4010
126046a1a468
132c1caa7419
14171354d78c
15c224474e5
hex73f0aef10

31122452240 has 160 divisors (see below), whose sum is σ = 80627446656. Its totient is φ = 11076116480.

The previous prime is 31122452213. The next prime is 31122452287. The reversal of 31122452240 is 4225422113.

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 31 ways as a sum of consecutive naturals, for example, 31854632 + ... + 31855608.

Almost surely, 231122452240 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 31122452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40313723328).

31122452240 is an abundant number, since it is smaller than the sum of its proper divisors (49504994416).

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

31122452240 is a wasteful number, since it uses less digits than its factorization.

31122452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 31122452240 its reverse (4225422113), we get a palindrome (35347874353).

The spelling of 31122452240 in words is "thirty-one billion, one hundred twenty-two million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 683 848 880 977 1060 1166 1366 1954 2120 2332 2732 2915 3415 3908 4240 4664 4885 5464 5830 6830 7513 7816 9328 9770 10747 10928 11660 13660 15026 15632 19540 21494 23320 27320 30052 36199 37565 39080 42988 46640 51781 53735 54640 60104 72398 75130 78160 85976 103562 107470 120208 144796 150260 171952 180995 207124 214940 258905 289592 300520 361990 398189 414248 429880 517810 569591 579184 601040 667291 723980 796378 828496 859760 1035620 1139182 1334582 1447960 1592756 1990945 2071240 2278364 2669164 2847955 2895920 3185512 3336455 3981890 4142480 4556728 5338328 5695910 6371024 6672910 7340201 7963780 9113456 10676656 11391820 13345820 14680402 15927560 22783640 26691640 29360804 31855120 35366423 36701005 45567280 53383280 58721608 70732846 73402010 117443216 141465692 146804020 176832115 282931384 293608040 353664230 389030653 565862768 587216080 707328460 778061306 1414656920 1556122612 1945153265 2829313840 3112245224 3890306530 6224490448 7780613060 15561226120 31122452240