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2103412434102 = 234711031681651
BaseRepresentation
bin11110100110111101001…
…001101010010010110110
321110002021102120210210000
4132212331021222102312
5233430242040342402
64250143324212130
7304652343456030
oct36467511522266
97402242523700
102103412434102
11741063535161
1229b7a469a046
13123474031395
1473b3cbd6c50
1539aabac8c1c
hex1e9bd26a4b6

2103412434102 has 80 divisors (see below), whose sum is σ = 5391403218432. Its totient is φ = 600429769200.

The previous prime is 2103412434091. The next prime is 2103412434113. The reversal of 2103412434102 is 2014342143012.

2103412434102 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 4 + 1 + 243 + 410 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2103412434091) and next prime (2103412434113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 409977 + ... + 2091627.

Almost surely, 22103412434102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103412434102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695701609216).

2103412434102 is an abundant number, since it is smaller than the sum of its proper divisors (3287990784330).

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

2103412434102 is a wasteful number, since it uses less digits than its factorization.

2103412434102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682775 (or 1682766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2103412434102 its reverse (2014342143012), we get a palindrome (4117754577114).

The spelling of 2103412434102 in words is "two trillion, one hundred three billion, four hundred twelve million, four hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1103 1134 2206 3309 6618 7721 9927 15442 19854 23163 29781 46326 59562 69489 89343 138978 178686 208467 416934 625401 1250802 1681651 3363302 5044953 10089906 11771557 15134859 23543114 30269718 35314671 45404577 70629342 90809154 105944013 136213731 211888026 272427462 317832039 635664078 953496117 1854861053 1906992234 3709722106 5564583159 11129166318 12984027371 16693749477 25968054742 33387498954 38952082113 50081248431 77904164226 100162496862 116856246339 150243745293 233712492678 300487490586 350568739017 701137478034 1051706217051 2103412434102