Search a number
-
+
23130333120 = 263586327919
BaseRepresentation
bin10101100010101011…
…001101111111000000
32012200222210200000110
4111202223031333000
5334332331124440
614343111151320
71446122405346
oct254253157700
965628720013
1023130333120
11989a519694
124596375540
13224809345b
141195d37996
159059a7080
hex562acdfc0

23130333120 has 112 divisors (see below), whose sum is σ = 73526538240. Its totient is φ = 6160720896.

The previous prime is 23130333113. The next prime is 23130333139. The reversal of 23130333120 is 2133303132.

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, 814521 + ... + 842439.

Almost surely, 223130333120 is an apocalyptic number.

23130333120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36763269120).

23130333120 is an abundant number, since it is smaller than the sum of its proper divisors (50396205120).

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

23130333120 is a wasteful number, since it uses less digits than its factorization.

23130333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28802 (or 28792 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23130333120 its reverse (2133303132), we get a palindrome (25263636252).

The spelling of 23130333120 in words is "twenty-three billion, one hundred thirty million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 863 960 1726 2589 3452 4315 5178 6904 8630 10356 12945 13808 17260 20712 25890 27616 27919 34520 41424 51780 55232 55838 69040 82848 83757 103560 111676 138080 139595 165696 167514 207120 223352 276160 279190 335028 414240 418785 446704 558380 670056 828480 837570 893408 1116760 1340112 1675140 1786816 2233520 2680224 3350280 4467040 5360448 6700560 8934080 13401120 24094097 26802240 48188194 72282291 96376388 120470485 144564582 192752776 240940970 289129164 361411455 385505552 481881940 578258328 722822910 771011104 963763880 1156516656 1445645820 1542022208 1927527760 2313033312 2891291640 3855055520 4626066624 5782583280 7710111040 11565166560 23130333120