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42200106234 = 2311131012811733
BaseRepresentation
bin100111010011010100…
…101000010011111010
311000220222221111212120
4213103110220103322
51142411211344414
631215250422110
73022520661456
oct472324502372
9130828844776
1042200106234
1116995950460
128218891936
133c96b20380
142084875666
15116ec252a9
hex9d35284fa

42200106234 has 128 divisors (see below), whose sum is σ = 100551580416. Its totient is φ = 11639040000.

The previous prime is 42200106211. The next prime is 42200106239. The reversal of 42200106234 is 43260100224.

42200106234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42200106239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24350032 + ... + 24351764.

It is an arithmetic number, because the mean of its divisors is an integer number (785559222).

Almost surely, 242200106234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200106234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50275790208).

42200106234 is an abundant number, since it is smaller than the sum of its proper divisors (58351474182).

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

42200106234 is a wasteful number, since it uses less digits than its factorization.

42200106234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42200106234 its reverse (43260100224), we get a palindrome (85460206458).

The spelling of 42200106234 in words is "forty-two billion, two hundred million, one hundred six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 281 286 303 429 562 606 843 858 1111 1313 1686 1733 2222 2626 3091 3333 3466 3653 3939 5199 6182 6666 7306 7878 9273 10398 10959 14443 18546 19063 21918 22529 28381 28886 38126 40183 43329 45058 56762 57189 67587 80366 85143 86658 114378 120549 135174 170286 175033 241098 247819 312191 350066 368953 486973 495638 525099 624382 737906 743457 936573 973946 1050198 1106859 1460919 1486914 1873146 1925363 2213718 2275429 2921838 3850726 4058483 4550858 5356703 5776089 6330649 6826287 8116966 10713406 11552178 12175449 12661298 13652574 16070109 18991947 24350898 25029719 32140218 37983894 49184273 50059438 69637139 75089157 98368546 139274278 147552819 150178314 208911417 295105638 417822834 541027003 639395549 1082054006 1278791098 1623081009 1918186647 3246162018 3836373294 7033351039 14066702078 21100053117 42200106234