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21312002130 = 23541831071951
BaseRepresentation
bin10011110110010010…
…110101100001010010
32001000021021212211020
4103312102311201102
5322121333032010
613442434100310
71353063012666
oct236622654122
961007255736
1021312002130
119047084701
12416941a696
132018455863
14106264c8a6
1584b02c470
hex4f64b5852

21312002130 has 128 divisors (see below), whose sum is σ = 53550637056. Its totient is φ = 5423808000.

The previous prime is 21312002113. The next prime is 21312002143. The reversal of 21312002130 is 3120021312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10922655 + ... + 10924605.

It is an arithmetic number, because the mean of its divisors is an integer number (418364352).

Almost surely, 221312002130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775318528).

21312002130 is an abundant number, since it is smaller than the sum of its proper divisors (32238634926).

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

21312002130 is a wasteful number, since it uses less digits than its factorization.

21312002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21312002130 its reverse (3120021312), we get a palindrome (24432023442).

The spelling of 21312002130 in words is "twenty-one billion, three hundred twelve million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 107 123 166 205 214 246 249 321 410 415 498 535 615 642 830 1070 1230 1245 1605 1951 2490 3210 3403 3902 4387 5853 6806 8774 8881 9755 10209 11706 13161 17015 17762 19510 20418 21935 26322 26643 29265 34030 43870 44405 51045 53286 58530 65805 79991 88810 102090 131610 133215 159982 161933 208757 239973 266430 323866 364121 399955 417514 479946 485799 626271 728242 799910 809665 971598 1043785 1092363 1199865 1252542 1619330 1820605 2087570 2184726 2399730 2428995 3131355 3641210 4857990 5461815 6262710 6639253 8559037 10923630 13278506 17118074 17326831 19917759 25677111 33196265 34653662 39835518 42795185 51354222 51980493 66392530 85590370 86634155 99588795 103960986 128385555 173268310 199177590 256771110 259902465 519804930 710400071 1420800142 2131200213 3552000355 4262400426 7104000710 10656001065 21312002130