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21232123040 = 2551910169151
BaseRepresentation
bin10011110001100010…
…000111110010100000
32000210200222121022102
4103301202013302200
5321440410414130
613430502025532
71351103032232
oct236142076240
960720877272
1021232123040
119005a86327
1241467182a8
132004a3851b
141055bb8252
15843eee645
hex4f1887ca0

21232123040 has 96 divisors (see below), whose sum is σ = 53324490240. Its totient is φ = 7966080000.

The previous prime is 21232123037. The next prime is 21232123043. The reversal of 21232123040 is 4032123212.

It is an interprime number because it is at equal distance from previous prime (21232123037) and next prime (21232123043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21232123043) 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, 272465 + ... + 341615.

It is an arithmetic number, because the mean of its divisors is an integer number (555463440).

Almost surely, 221232123040 is an apocalyptic number.

21232123040 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 21232123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26662245120).

21232123040 is an abundant number, since it is smaller than the sum of its proper divisors (32092367200).

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

21232123040 is a wasteful number, since it uses less digits than its factorization.

21232123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69286 (or 69278 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21232123040 its reverse (4032123212), we get a palindrome (25264246252).

The spelling of 21232123040 in words is "twenty-one billion, two hundred thirty-two million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 101 152 160 190 202 304 380 404 505 608 760 808 1010 1520 1616 1919 2020 3040 3232 3838 4040 7676 8080 9595 15352 16160 19190 30704 38380 61408 69151 76760 138302 153520 276604 307040 345755 553208 691510 1106416 1313869 1383020 2212832 2627738 2766040 5255476 5532080 6569345 6984251 10510952 11064160 13138690 13968502 21021904 26277380 27937004 34921255 42043808 52554760 55874008 69842510 105109520 111748016 132700769 139685020 210219040 223496032 265401538 279370040 530803076 558740080 663503845 1061606152 1117480160 1327007690 2123212304 2654015380 4246424608 5308030760 10616061520 21232123040