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21132430020 = 223251359153067
BaseRepresentation
bin10011101011100101…
…110100101011000100
32000112202101200012100
4103223211310223010
5321234400230040
613412541152100
71345452456102
oct235345645304
960482350170
1021132430020
118a647844a9
12411925b630
131cba1a1680
141046866c72
1583a3aab30
hex4eb974ac4

21132430020 has 144 divisors (see below), whose sum is σ = 70203107520. Its totient is φ = 5113628928.

The previous prime is 21132430003. The next prime is 21132430031. The reversal of 21132430020 is 2003423112.

21132430020 is a `hidden beast` number, since 21 + 1 + 324 + 300 + 20 = 666.

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 = 21132429975 and 21132430002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61527 + ... + 214593.

It is an arithmetic number, because the mean of its divisors is an integer number (487521580).

Almost surely, 221132430020 is an apocalyptic number.

21132430020 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 21132430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35101553760).

21132430020 is an abundant number, since it is smaller than the sum of its proper divisors (49070677500).

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

21132430020 is a wasteful number, since it uses less digits than its factorization.

21132430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153154 (or 153149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21132430020 its reverse (2003423112), we get a palindrome (23135853132).

The spelling of 21132430020 in words is "twenty-one billion, one hundred thirty-two million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1770 2124 2301 2340 2655 3068 3540 3835 4602 5310 6903 7670 9204 10620 11505 13806 15340 23010 27612 34515 46020 69030 138060 153067 306134 459201 612268 765335 918402 1377603 1530670 1836804 1989871 2296005 2755206 3061340 3979742 4592010 5510412 5969613 6888015 7959484 9030953 9184020 9949355 11939226 13776030 17908839 18061906 19898710 23878452 27092859 27552060 29848065 35817678 36123812 39797420 45154765 54185718 59696130 71635356 81278577 89544195 90309530 108371436 117402389 119392260 135464295 162557154 179088390 180619060 234804778 270928590 325114308 352207167 358176780 406392885 469609556 541857180 587011945 704414334 812785770 1056621501 1174023890 1408828668 1625571540 1761035835 2113243002 2348047780 3522071670 4226486004 5283107505 7044143340 10566215010 21132430020