Search a number
-
+
23412323224300 = 225259113349100621
BaseRepresentation
bin1010101001011000110110…
…01101011000101011101100
310001220012022001121210211111
411110230123031120223230
511032041414221134200
6121443250043201404
74634325123611443
oct524543315305354
9101805261553744
1023412323224300
1175071241139aa
12276156b816264
13100aa0755646a
145ad23bc31d5a
152a901ccde0ba
hex154b1b358aec

23412323224300 has 144 divisors (see below), whose sum is σ = 52272927756000. Its totient is φ = 9098495078400.

The previous prime is 23412323224237. The next prime is 23412323224319. The reversal of 23412323224300 is 342232321432.

It is a super-3 number, since 3×234123232243003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232627990 + ... + 232728610.

It is an arithmetic number, because the mean of its divisors is an integer number (363006442750).

Almost surely, 223412323224300 is an apocalyptic number.

23412323224300 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 23412323224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136463878000).

23412323224300 is an abundant number, since it is smaller than the sum of its proper divisors (28860604531700).

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

23412323224300 is a wasteful number, since it uses less digits than its factorization.

23412323224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101156 (or 101149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 23412323224300 its reverse (342232321432), we get a palindrome (23754555545732).

The spelling of 23412323224300 in words is "twenty-three trillion, four hundred twelve billion, three hundred twenty-three million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 113 118 226 236 295 349 452 565 590 698 1130 1180 1396 1475 1745 2260 2825 2950 3490 5650 5900 6667 6980 8725 11300 13334 17450 20591 26668 33335 34900 39437 41182 66670 78874 82364 100621 102955 133340 157748 166675 197185 201242 205910 333350 394370 402484 411820 503105 514775 666700 788740 985925 1006210 1029550 1971850 2012420 2059100 2326783 2515525 3943700 4653566 5031050 5936639 9307132 10062100 11370173 11633915 11873278 22740346 23267830 23746556 29683195 35116729 45480692 46535660 56850865 58169575 59366390 70233458 113701730 116339150 118732780 140466916 148415975 175583645 227403460 232678300 284254325 296831950 351167290 568508650 593663900 670840207 702334580 877918225 1137017300 1341680414 1755836450 2071887011 2683360828 3354201035 3511672900 3968190377 4143774022 6708402070 7936380754 8287548044 10359435055 13416804140 15872761508 16771005175 19840951885 20718870110 33542010350 39681903770 41437740220 51797175275 67084020700 79363807540 99204759425 103594350550 198409518850 207188701100 234123232243 396819037700 468246464486 936492928972 1170616161215 2341232322430 4682464644860 5853080806075 11706161612150 23412323224300