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10214165340 = 2233518915121
BaseRepresentation
bin10011000001100111…
…11100101101011100
3222100211202100202000
421200303330231130
5131404311242330
64405313002300
7511054654461
oct114063745534
928324670660
1010214165340
1143716a2665
121b90853390
13c6a194222
146cc791668
153ebab4560
hex260cfcb5c

10214165340 has 48 divisors (see below), whose sum is σ = 31777404960. Its totient is φ = 2723777280.

The previous prime is 10214165327. The next prime is 10214165341. The reversal of 10214165340 is 4356141201.

It is a happy number.

10214165340 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 1 + 653 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214165341) 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, 9457021 + ... + 9458100.

It is an arithmetic number, because the mean of its divisors is an integer number (662029270).

Almost surely, 210214165340 is an apocalyptic number.

10214165340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214165340 is an abundant number, since it is smaller than the sum of its proper divisors (21563239620).

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

10214165340 is a wasteful number, since it uses less digits than its factorization.

10214165340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18915139 (or 18915131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10214165340 in words is "ten billion, two hundred fourteen million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 18915121 37830242 56745363 75660484 94575605 113490726 170236089 189151210 226981452 283726815 340472178 378302420 510708267 567453630 680944356 851180445 1021416534 1134907260 1702360890 2042833068 2553541335 3404721780 5107082670 10214165340