Search a number
-
+
21334455120 = 24351129327581
BaseRepresentation
bin10011110111101000…
…011111001101010000
32001001211112121112110
4103313220133031100
5322143110030440
613444555225320
71353454606416
oct236750371520
961054477473
1021334455120
11905881a9a0
124174a48240
13201ccb7654
1410656152b6
1584ceb5080
hex4f7a1f350

21334455120 has 160 divisors (see below), whose sum is σ = 72398116224. Its totient is φ = 5154150400.

The previous prime is 21334455097. The next prime is 21334455137. The reversal of 21334455120 is 2155443312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759730 + ... + 787310.

Almost surely, 221334455120 is an apocalyptic number.

21334455120 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 21334455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36199058112).

21334455120 is an abundant number, since it is smaller than the sum of its proper divisors (51063661104).

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

21334455120 is a wasteful number, since it uses less digits than its factorization.

21334455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27901 (or 27895 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 21334455120 its reverse (2155443312), we get a palindrome (23489898432).

The spelling of 21334455120 in words is "twenty-one billion, three hundred thirty-four million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 293 330 440 528 586 660 879 880 1172 1320 1465 1758 2344 2640 2930 3223 3516 4395 4688 5860 6446 7032 8790 9669 11720 12892 14064 16115 17580 19338 23440 25784 27581 32230 35160 38676 48345 51568 55162 64460 70320 77352 82743 96690 110324 128920 137905 154704 165486 193380 220648 257840 275810 303391 330972 386760 413715 441296 551620 606782 661944 773520 827430 910173 1103240 1213564 1323888 1516955 1654860 1820346 2206480 2427128 3033910 3309720 3640692 4550865 4854256 6067820 6619440 7281384 8081233 9101730 12135640 14562768 16162466 18203460 24243699 24271280 32324932 36406920 40406165 48487398 64649864 72813840 80812330 88893563 96974796 121218495 129299728 161624660 177787126 193949592 242436990 266680689 323249320 355574252 387899184 444467815 484873980 533361378 646498640 711148504 888935630 969747960 1066722756 1333403445 1422297008 1777871260 1939495920 2133445512 2666806890 3555742520 4266891024 5333613780 7111485040 10667227560 21334455120