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42120130300 = 22523722949711
BaseRepresentation
bin100111001110100011…
…100010111011111100
311000201102110022111221
4213032203202323330
51142230223132200
631203312323124
73020530125463
oct471643427374
9130642408457
1042120130300
1116954796346
1281b5b434a4
133c8339ac31
142077db79da
151167bc891a
hex9ce8e2efc

42120130300 has 72 divisors (see below), whose sum is σ = 94282784960. Its totient is φ = 16320787200.

The previous prime is 42120130289. The next prime is 42120130307. The reversal of 42120130300 is 303102124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120130307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822445 + ... + 872155.

Almost surely, 242120130300 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 42120130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47141392480).

42120130300 is an abundant number, since it is smaller than the sum of its proper divisors (52162654660).

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

42120130300 is a wasteful number, since it uses less digits than its factorization.

42120130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49991 (or 49984 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42120130300 its reverse (303102124), we get a palindrome (42423232424).

The spelling of 42120130300 in words is "forty-two billion, one hundred twenty million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 229 370 458 740 916 925 1145 1850 2290 3700 4580 5725 8473 11450 16946 22900 33892 42365 49711 84730 99422 169460 198844 211825 248555 423650 497110 847300 994220 1242775 1839307 2485550 3678614 4971100 7357228 9196535 11383819 18393070 22767638 36786140 45535276 45982675 56919095 91965350 113838190 183930700 227676380 284595475 421201303 569190950 842402606 1138381900 1684805212 2106006515 4212013030 8424026060 10530032575 21060065150 42120130300