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42200211102 = 2372376615869
BaseRepresentation
bin100111010011010101…
…000001111010011110
311000221000010211201120
4213103111001322132
51142411223223402
631215252551410
73022521606300
oct472325017236
9130830124646
1042200211102
1116995a12225
128218922566
133c96b5901a
1420848a1970
15116ec463bc
hex9d3541e9e

42200211102 has 96 divisors (see below), whose sum is σ = 101003352480. Its totient is φ = 11711589120.

The previous prime is 42200211077. The next prime is 42200211107. The reversal of 42200211102 is 20111200224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7187424 + ... + 7193292.

It is an arithmetic number, because the mean of its divisors is an integer number (1052118255).

Almost surely, 242200211102 is an apocalyptic number.

42200211102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50501676240).

42200211102 is an abundant number, since it is smaller than the sum of its proper divisors (58803141378).

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

42200211102 is a wasteful number, since it uses less digits than its factorization.

42200211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 42200211102 its reverse (20111200224), we get a palindrome (62311411326).

The spelling of 42200211102 in words is "forty-two billion, two hundred million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 661 777 1322 1554 1813 1983 3626 3966 4627 5439 5869 9254 10878 11738 13881 17607 24457 27762 32389 35214 41083 48914 64778 73371 82166 97167 123249 146742 171199 194334 217153 246498 287581 342398 434306 513597 575162 651459 862743 1027194 1198393 1302918 1520071 1725486 2396786 3040142 3595179 3879409 4560213 7190358 7758818 9120426 10640497 11638227 21280994 23276454 27155863 31921491 54311726 63842982 81467589 143538133 162935178 190091041 287076266 380182082 430614399 570273123 861228798 1004766931 1140546246 2009533862 3014300793 6028601586 7033368517 14066737034 21100105551 42200211102