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42212130100 = 22527193312451
BaseRepresentation
bin100111010100000010…
…011111110100110100
311000221211120101111221
4213110002133310310
51142422301130400
631220400240124
73023025120460
oct472402376464
9130854511457
1042212130100
11169a1713138
128220910044
133c9947019a
1420862c54a0
151170cecc1a
hex9d409fd34

42212130100 has 72 divisors (see below), whose sum is σ = 105228834368. Its totient is φ = 14397696000.

The previous prime is 42212130089. The next prime is 42212130139. The reversal of 42212130100 is 103121224.

42212130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21126 + ... + 291325.

Almost surely, 242212130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52614417184).

42212130100 is an abundant number, since it is smaller than the sum of its proper divisors (63016704268).

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

42212130100 is a wasteful number, since it uses less digits than its factorization.

42212130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312665 (or 312658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42212130100 its reverse (103121224), we get a palindrome (42315251324).

The spelling of 42212130100 in words is "forty-two billion, two hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 193 350 386 700 772 965 1351 1930 2702 3860 4825 5404 6755 9650 13510 19300 27020 33775 67550 135100 312451 624902 1249804 1562255 2187157 3124510 4374314 6249020 7811275 8748628 10935785 15622550 21871570 31245100 43743140 54678925 60303043 109357850 120606086 218715700 241212172 301515215 422121301 603030430 844242602 1206060860 1507576075 1688485204 2110606505 3015152150 4221213010 6030304300 8442426020 10553032525 21106065050 42212130100