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21132070020 = 2233585945557
BaseRepresentation
bin10011101011100100…
…011100110010000100
32000112201201101101000
4103223210130302010
5321234302220040
613412525333300
71345446426405
oct235344346204
960481641330
1021132070020
118a64558a86
124119107230
131cba0a6859
1410467b19ac
1583a339130
hex4eb91cc84

21132070020 has 96 divisors (see below), whose sum is σ = 65822198400. Its totient is φ = 5628534912.

The previous prime is 21132070007. The next prime is 21132070039. The reversal of 21132070020 is 2007023112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21132069975 and 21132070002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441082 + ... + 486638.

It is an arithmetic number, because the mean of its divisors is an integer number (685647900).

Almost surely, 221132070020 is an apocalyptic number.

21132070020 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 21132070020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32911099200).

21132070020 is an abundant number, since it is smaller than the sum of its proper divisors (44690128380).

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

21132070020 is a wasteful number, since it uses less digits than its factorization.

21132070020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46434 (or 46426 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 21132070020 its reverse (2007023112), we get a palindrome (23139093132).

The spelling of 21132070020 in words is "twenty-one billion, one hundred thirty-two million, seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 859 1718 2577 3436 4295 5154 7731 8590 10308 12885 15462 17180 23193 25770 30924 38655 45557 46386 51540 77310 91114 92772 115965 136671 154620 182228 227785 231930 273342 410013 455570 463860 546684 683355 820026 911140 1230039 1366710 1640052 2050065 2460078 2733420 4100130 4920156 6150195 8200260 12300390 24600780 39133463 78266926 117400389 156533852 195667315 234800778 352201167 391334630 469601556 587001945 704402334 782669260 1056603501 1174003890 1408804668 1761005835 2113207002 2348007780 3522011670 4226414004 5283017505 7044023340 10566035010 21132070020