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24021042100 = 225211101216211
BaseRepresentation
bin10110010111110001…
…000000001110110100
32022000001211101000221
4112113301000032310
5343143341321400
615011330144124
71510156326466
oct262761001664
968001741027
1024021042100
11a207285510
1247a4722044
13235a785ba3
14123c356136
15958c9ac1a
hex597c403b4

24021042100 has 72 divisors (see below), whose sum is σ = 57427636896. Its totient is φ = 8648400000.

The previous prime is 24021042079. The next prime is 24021042119. The reversal of 24021042100 is 124012042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995 + ... + 219205.

It is an arithmetic number, because the mean of its divisors is an integer number (797606068).

Almost surely, 224021042100 is an apocalyptic number.

24021042100 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 24021042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28713818448).

24021042100 is an abundant number, since it is smaller than the sum of its proper divisors (33406594796).

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

24021042100 is a wasteful number, since it uses less digits than its factorization.

24021042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216337 (or 216330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24021042100 its reverse (124012042), we get a palindrome (24145054142).

The spelling of 24021042100 in words is "twenty-four billion, twenty-one million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 216211 432422 864844 1081055 2162110 2378321 4324220 4756642 5405275 9513284 10810550 11891605 21621100 21837311 23783210 43674622 47566420 59458025 87349244 109186555 118916050 218373110 237832100 240210421 436746220 480420842 545932775 960841684 1091865550 1201052105 2183731100 2402104210 4804208420 6005260525 12010521050 24021042100