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21342145320 = 2332588367139
BaseRepresentation
bin10011111000000101…
…110100101100101000
32001002101000022111200
4103320011310230220
5322202042122240
613445432124200
71353610146006
oct237005645450
961071008450
1021342145320
1190620a2731
124177536660
13202177aa72
141066657a76
1584d9d3930
hex4f8174b28

21342145320 has 96 divisors (see below), whose sum is σ = 69441559200. Its totient is φ = 5684708736.

The previous prime is 21342145271. The next prime is 21342145339. The reversal of 21342145320 is 2354124312.

21342145320 is a `hidden beast` number, since 213 + 421 + 4 + 5 + 3 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284311 + ... + 351449.

It is an arithmetic number, because the mean of its divisors is an integer number (723349575).

Almost surely, 221342145320 is an apocalyptic number.

21342145320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720779600).

21342145320 is an abundant number, since it is smaller than the sum of its proper divisors (48099413880).

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

21342145320 is a wasteful number, since it uses less digits than its factorization.

21342145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68039 (or 68032 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 21342145320 its reverse (2354124312), we get a palindrome (23696269632).

The spelling of 21342145320 in words is "twenty-one billion, three hundred forty-two million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 883 1766 2649 3532 4415 5298 7064 7947 8830 10596 13245 15894 17660 21192 26490 31788 35320 39735 52980 63576 67139 79470 105960 134278 158940 201417 268556 317880 335695 402834 537112 604251 671390 805668 1007085 1208502 1342780 1611336 2014170 2417004 2685560 3021255 4028340 4834008 6042510 8056680 12085020 24170040 59283737 118567474 177851211 237134948 296418685 355702422 474269896 533553633 592837370 711404844 889256055 1067107266 1185674740 1422809688 1778512110 2134214532 2371349480 2667768165 3557024220 4268429064 5335536330 7114048440 10671072660 21342145320