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42030012101 = 72111737151821
BaseRepresentation
bin100111001001001011…
…110001011011000101
311000111010212211120212
4213021023301123011
51142034140341401
631150333005205
73015354131300
oct471113613305
9130433784525
1042030012101
11169089341a0
12818b923805
133c6a80725c
14206a039b37
15115ed26dbb
hex9c92f16c5

42030012101 has 96 divisors (see below), whose sum is σ = 58455800064. Its totient is φ = 29756160000.

The previous prime is 42030012091. The next prime is 42030012137. The reversal of 42030012101 is 10121003024.

42030012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42030012101 - 226 = 41962903237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030012151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51193271 + ... + 51194091.

It is an arithmetic number, because the mean of its divisors is an integer number (608914584).

Almost surely, 242030012101 is an apocalyptic number.

It is an amenable number.

42030012101 is a deficient number, since it is larger than the sum of its proper divisors (16425787963).

42030012101 is a wasteful number, since it uses less digits than its factorization.

42030012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 42030012101 its reverse (10121003024), we get a palindrome (52151015125).

The spelling of 42030012101 in words is "forty-two billion, thirty million, twelve thousand, one hundred one".

Divisors: 1 7 11 17 37 49 77 119 151 187 259 407 539 629 821 833 1057 1309 1661 1813 2567 2849 4403 5587 5747 6919 7399 9031 9163 11627 13957 17969 19943 28237 30377 30821 39109 40229 48433 61457 63217 81389 94979 97699 123971 125783 153527 197659 212639 273763 334147 339031 430199 442519 516409 664853 683893 867797 1044769 1074689 1363681 1383613 1488473 2107507 2339029 3011393 3614863 4586927 4653971 5680499 6074579 7313383 7522823 9545767 14752549 16373203 23182577 25304041 32108489 39763493 50456197 51193681 66820369 77977759 103267843 162278039 224759423 278344451 353193379 545844313 857755349 1135946273 2472353653 3820910191 6004287443 42030012101