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10103211342 = 2327293774729
BaseRepresentation
bin10010110100011001…
…01100010101001110
3222002002222022110200
421122030230111032
5131142410230332
64350310514330
7505236610440
oct113214542516
928062868420
1010103211342
114314aaa244
121b5b6659a6
13c501b6883
146bbb4c490
153e1e9917c
hex25a32c54e

10103211342 has 96 divisors (see below), whose sum is σ = 26579966400. Its totient is φ = 2711729664.

The previous prime is 10103211341. The next prime is 10103211347. The reversal of 10103211342 is 24311230101.

10103211342 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 321 + 1 + 342 = 666.

It is a super-2 number, since 2×101032113422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103211341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97834 + ... + 172562.

It is an arithmetic number, because the mean of its divisors is an integer number (276874650).

Almost surely, 210103211342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103211342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289983200).

10103211342 is an abundant number, since it is smaller than the sum of its proper divisors (16476755058).

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

10103211342 is a wasteful number, since it uses less digits than its factorization.

10103211342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74810 (or 74807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10103211342 its reverse (24311230101), we get a palindrome (34414441443).

It can be divided in two parts, 10103 and 211342, that added together give a triangular number (221445 = T665).

The spelling of 10103211342 in words is "ten billion, one hundred three million, two hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 37 42 58 63 74 87 111 126 174 203 222 259 261 333 406 518 522 609 666 777 1073 1218 1554 1827 2146 2331 3219 3654 4662 6438 7511 9657 15022 19314 22533 45066 67599 74729 135198 149458 224187 448374 523103 672561 1046206 1345122 1569309 2167141 2764973 3138618 4334282 4707927 5529946 6501423 8294919 9415854 13002846 15169987 16589838 19354811 19504269 24884757 30339974 38709622 39008538 45509961 49769514 58064433 80184217 91019922 116128866 136529883 160368434 174193299 240552651 273059766 348386598 481105302 561289519 721657953 1122579038 1443315906 1683868557 3367737114 5051605671 10103211342