Search a number
-
+
20211222210020 = 22523113857453707
BaseRepresentation
bin1001001100001110010101…
…01110000110010111100100
32122120011200211022112020022
410212013022232012113210
510122120040341210040
6110552523551054312
74154132633131232
oct446071256062744
978504624275208
1020211222210020
116492593039776
1223250a1511398
13b37baa58cb6a
144dc32a933952
15250b1863e6b5
hex1261cab865e4

20211222210020 has 96 divisors (see below), whose sum is σ = 44733111591168. Its totient is φ = 7655595487232.

The previous prime is 20211222209987. The next prime is 20211222210037. The reversal of 20211222210020 is 2001222211202.

It is a happy number.

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, 44320007 + ... + 44773713.

It is an arithmetic number, because the mean of its divisors is an integer number (465969912408).

Almost surely, 220211222210020 is an apocalyptic number.

20211222210020 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 20211222210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366555795584).

20211222210020 is an abundant number, since it is smaller than the sum of its proper divisors (24521889381148).

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

20211222210020 is a wasteful number, since it uses less digits than its factorization.

20211222210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454709 (or 454707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20211222210020 its reverse (2001222211202), we get a palindrome (22212444421222).

The spelling of 20211222210020 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 857 1130 1714 2260 2599 3428 4285 5198 8570 10396 12995 17140 19711 25990 39422 51980 78844 96841 98555 193682 197110 387364 394220 453707 484205 907414 968410 1814828 1936820 2227343 2268535 4454686 4537070 8909372 9074140 10435261 11136715 20870522 22273430 41741044 44546860 51268891 52176305 102537782 104352610 205075564 208705220 256344455 388826899 512688910 777653798 1025377820 1179184493 1555307596 1944134495 2358368986 3888268990 4716737972 5895922465 7776537980 8943018677 11791844930 17886037354 23583689860 35772074708 43937439587 44715093385 87874879174 89430186770 175749758348 178860373540 219687197935 439374395870 878748791740 1010561110501 2021122221002 4042244442004 5052805552505 10105611105010 20211222210020