Search a number
-
+
23030332010120 = 2351783593688111
BaseRepresentation
bin1010011110010001010101…
…10000100010111010001000
310000112200022102202112202002
411033020222300202322020
511004312104443310440
6120551553301530132
74564613045064251
oct517105260427210
9100480272675662
1023030332010120
11737a122024976
1226bb523713948
13cb099bc03706
14598961705b28
1529e112437115
hex14f22ac22e88

23030332010120 has 128 divisors (see below), whose sum is σ = 55621138890240. Its totient is φ = 8551324631040.

The previous prime is 23030332010117. The next prime is 23030332010131. The reversal of 23030332010120 is 2101023303032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23030332010092 and 23030332010101.

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, 33124865 + ... + 33812975.

It is an arithmetic number, because the mean of its divisors is an integer number (434540147580).

Almost surely, 223030332010120 is an apocalyptic number.

23030332010120 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 23030332010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27810569445120).

23030332010120 is an abundant number, since it is smaller than the sum of its proper divisors (32590806880120).

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

23030332010120 is a wasteful number, since it uses less digits than its factorization.

23030332010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688815 (or 688811 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23030332010120 its reverse (2101023303032), we get a palindrome (25131355313152).

The spelling of 23030332010120 in words is "twenty-three trillion, thirty billion, three hundred thirty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 83 85 136 166 170 332 340 415 593 664 680 830 1186 1411 1660 2372 2822 2965 3320 4744 5644 5930 7055 10081 11288 11860 14110 20162 23720 28220 40324 49219 50405 56440 80648 98438 100810 196876 201620 246095 393752 403240 492190 688111 836723 984380 1376222 1673446 1968760 2752444 3346892 3440555 4183615 5504888 6693784 6881110 8367230 11697887 13762220 16734460 23395774 27524440 33468920 46791548 57113213 58489435 93583096 114226426 116978870 228452852 233957740 285566065 408049823 456905704 467915480 571132130 816099646 970924621 1142264260 1632199292 1941849242 2040249115 2284528520 3264398584 3883698484 4080498230 4854623105 6936846991 7767396968 8160996460 9709246210 13873693982 16321992920 19418492420 27747387964 33868135309 34684234955 38836984840 55494775928 67736270618 69368469910 135472541236 138736939820 169340676545 270945082472 277473879640 338681353090 575758300253 677362706180 1151516600506 1354725412360 2303033201012 2878791501265 4606066402024 5757583002530 11515166005060 23030332010120