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10136103390 = 23257113142381
BaseRepresentation
bin10010111000010100…
…01010100111011110
3222011101212101212200
421130022022213132
5131224320302030
64353443512330
7506116312560
oct113412124736
928141771780
1010136103390
114331625556
121b6a6886a6
13c56c6201a
146c2271330
153e4ce4d60
hex25c28a9de

10136103390 has 96 divisors (see below), whose sum is σ = 30385457856. Its totient is φ = 2296304640.

The previous prime is 10136103379. The next prime is 10136103391. The reversal of 10136103390 is 9330163101.

10136103390 is a `hidden beast` number, since 1 + 0 + 13 + 610 + 3 + 39 + 0 = 666.

10136103390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10136103390 is a nontrivial binomial coefficient, being equal to C(142381, 2).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10136103391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1 + ... + 142380.

It is an arithmetic number, because the mean of its divisors is an integer number (316515186).

Almost surely, 210136103390 is an apocalyptic number.

10136103390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10136103390 is the 142380-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10136103390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192728928).

10136103390 is an abundant number, since it is smaller than the sum of its proper divisors (20249354466).

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

10136103390 is a wasteful number, since it uses less digits than its factorization.

10136103390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142514 (or 142511 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 10136103390 its reverse (9330163101), we get a palindrome (19466266491).

It can be divided in two parts, 10136 and 103390, that added together give a triangular number (113526 = T476).

The spelling of 10136103390 in words is "ten billion, one hundred thirty-six million, one hundred three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 113 126 210 226 315 339 565 630 678 791 1017 1130 1582 1695 2034 2373 3390 3955 4746 5085 7119 7910 10170 11865 14238 23730 35595 71190 142381 284762 427143 711905 854286 996667 1281429 1423810 1993334 2135715 2562858 2990001 4271430 4983335 5980002 6407145 8970003 9966670 12814290 14950005 16089053 17940006 29900010 32178106 44850015 48267159 80445265 89700030 96534318 112623371 144801477 160890530 225246742 241335795 289602954 337870113 482671590 563116855 675740226 724007385 1013610339 1126233710 1448014770 1689350565 2027220678 3378701130 5068051695 10136103390