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42433003100 = 22525331325579
BaseRepresentation
bin100111100001001101…
…000011111001011100
311001112020011220022102
4213201031003321130
51143400322044400
631254330304232
73031346401205
oct474115037134
9131466156272
1042433003100
1116aa5362304
128282888078
134003155077
1420a777c5ac
1511853cb9d5
hex9e1343e5c

42433003100 has 72 divisors (see below), whose sum is σ = 94120382160. Its totient is φ = 16599098880.

The previous prime is 42433003099. The next prime is 42433003139. The reversal of 42433003100 is 130033424.

42433003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424330031002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1646111 + ... + 1671689.

It is an arithmetic number, because the mean of its divisors is an integer number (1307227530).

Almost surely, 242433003100 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 42433003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47060191080).

42433003100 is an abundant number, since it is smaller than the sum of its proper divisors (51687379060).

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

42433003100 is a wasteful number, since it uses less digits than its factorization.

42433003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25959 (or 25952 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42433003100 its reverse (130033424), we get a palindrome (42563036524).

The spelling of 42433003100 in words is "forty-two billion, four hundred thirty-three million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 313 530 626 1060 1252 1325 1565 2650 3130 5300 6260 7825 15650 16589 25579 31300 33178 51158 66356 82945 102316 127895 165890 255790 331780 414725 511580 639475 829450 1278950 1355687 1658900 2557900 2711374 5422748 6778435 8006227 13556870 16012454 27113740 32024908 33892175 40031135 67784350 80062270 135568700 160124540 200155675 400311350 424330031 800622700 848660062 1697320124 2121650155 4243300310 8486600620 10608250775 21216501550 42433003100