Search a number
-
+
24122342300 = 2252727169337
BaseRepresentation
bin10110011101110011…
…011011101110011100
32022021010102221210012
4112131303123232130
5343400304423200
615025345302352
71512526345400
oct263563335634
968233387705
1024122342300
11a259484891
1248126349b8
132375763434
14124b9a5100
15962b0aa35
hex59dcdbb9c

24122342300 has 108 divisors (see below), whose sum is σ = 61750203984. Its totient is φ = 8153913600.

The previous prime is 24122342291. The next prime is 24122342317. The reversal of 24122342300 is 324322142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313232 + ... + 382568.

It is an arithmetic number, because the mean of its divisors is an integer number (571761148).

Almost surely, 224122342300 is an apocalyptic number.

24122342300 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 24122342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30875101992).

24122342300 is an abundant number, since it is smaller than the sum of its proper divisors (37627861684).

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

24122342300 is a wasteful number, since it uses less digits than its factorization.

24122342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69436 (or 69422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 24122342300 its reverse (324322142), we get a palindrome (24446664442).

The spelling of 24122342300 in words is "twenty-four billion, one hundred twenty-two million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 71 98 100 140 142 175 196 245 284 350 355 490 497 700 710 980 994 1225 1420 1775 1988 2450 2485 3479 3550 4900 4970 6958 7100 9940 12425 13916 17395 24850 34790 49700 69337 69580 86975 138674 173950 277348 346685 347900 485359 693370 970718 1386740 1733425 1941436 2426795 3397513 3466850 4853590 4922927 6795026 6933700 9707180 9845854 12133975 13590052 16987565 19691708 24267950 24614635 33975130 34460489 48535900 49229270 67950260 68920978 84937825 98458540 123073175 137841956 169875650 172302445 241223423 246146350 339751300 344604890 482446846 492292700 689209780 861512225 964893692 1206117115 1723024450 2412234230 3446048900 4824468460 6030585575 12061171150 24122342300