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10141034310 = 232511175311369
BaseRepresentation
bin10010111000111001…
…11110011101000110
3222011202010220211100
421130130332131012
5131232101044220
64354141320530
7506206240461
oct113434763506
928152126740
1010141034310
1143343931a0
121b70266146
13c57c9a524
146c2b962d8
153e546ad90
hex25c73e746

10141034310 has 192 divisors, whose sum is σ = 31033005120. Its totient is φ = 2269962240.

The previous prime is 10141034297. The next prime is 10141034347. The reversal of 10141034310 is 1343014101.

It is a super-2 number, since 2×101410343102 (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 886306 + ... + 897674.

It is an arithmetic number, because the mean of its divisors is an integer number (161630235).

Almost surely, 210141034310 is an apocalyptic number.

10141034310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141034310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516502560).

10141034310 is an abundant number, since it is smaller than the sum of its proper divisors (20891970810).

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

10141034310 is a wasteful number, since it uses less digits than its factorization.

10141034310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11460 counting only the distinct ones).

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

Adding to 10141034310 its reverse (1343014101), we get a palindrome (11484048411).

The spelling of 10141034310 in words is "ten billion, one hundred forty-one million, thirty-four thousand, three hundred ten".