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213412138540 = 22529491749393
BaseRepresentation
bin1100011011000001011…
…0101100111000101100
3202101212001120220202021
43012300112230320230
511444032001413130
6242012402435524
721263360150506
oct3066026547054
9671761526667
10213412138540
1182564652417
123543b362ba4
1317180bc2523
14a487490d76
155840b8637a
hex31b05ace2c

213412138540 has 48 divisors (see below), whose sum is σ = 464564328480. Its totient is φ = 82253265920.

The previous prime is 213412138531. The next prime is 213412138543. The reversal of 213412138540 is 45831214312.

It is a junction number, because it is equal to n+sod(n) for n = 213412138496 and 213412138505.

It is not an unprimeable number, because it can be changed into a prime (213412138543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89917 + ... + 659476.

It is an arithmetic number, because the mean of its divisors is an integer number (9678423510).

Almost surely, 2213412138540 is an apocalyptic number.

213412138540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213412138540 is an abundant number, since it is smaller than the sum of its proper divisors (251152189940).

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

213412138540 is a wasteful number, since it uses less digits than its factorization.

213412138540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749922 (or 749920 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 213412138540 in words is "two hundred thirteen billion, four hundred twelve million, one hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 491 580 982 1964 2455 4910 9820 14239 28478 56956 71195 142390 284780 749393 1498786 2997572 3746965 7493930 14987860 21732397 43464794 86929588 108661985 217323970 367951963 434647940 735903926 1471807852 1839759815 3679519630 7359039260 10670606927 21341213854 42682427708 53353034635 106706069270 213412138540