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24310420100 = 22523146117011
BaseRepresentation
bin10110101001000000…
…111001001010000100
32022202020100022000122
4112221000321022010
5344241431420400
615100144401112
71520302106231
oct265100711204
968666308018
1024310420100
11a34566448a
124865616198
1323a5704c85
141268962788
159743ac685
hex5a9039284

24310420100 has 72 divisors (see below), whose sum is σ = 54576673536. Its totient is φ = 9389520000.

The previous prime is 24310420091. The next prime is 24310420117. The reversal of 24310420100 is 102401342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420595 + ... + 1437605.

Almost surely, 224310420100 is an apocalyptic number.

24310420100 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 24310420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27288336768).

24310420100 is an abundant number, since it is smaller than the sum of its proper divisors (30266253436).

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

24310420100 is a wasteful number, since it uses less digits than its factorization.

24310420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17517 (or 17510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 24310420100 its reverse (102401342), we get a palindrome (24412821442).

The spelling of 24310420100 in words is "twenty-four billion, three hundred ten million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 461 620 775 922 1550 1844 2305 3100 4610 9220 11525 14291 17011 23050 28582 34022 46100 57164 68044 71455 85055 142910 170110 285820 340220 357275 425275 527341 714550 850550 1054682 1429100 1701100 2109364 2636705 5273410 7842071 10546820 13183525 15684142 26367050 31368284 39210355 52734100 78420710 156841420 196051775 243104201 392103550 486208402 784207100 972416804 1215521005 2431042010 4862084020 6077605025 12155210050 24310420100