Search a number
-
+
1122333020010 = 234519111036577
BaseRepresentation
bin10000010101010000010…
…000101100111101101010
310222021221022120201210000
4100111100100230331222
5121342014223120020
62215332003403430
7144041313160026
oct20252020547552
93867838521700
101122333020010
113a2a84804524
12161623083576
1381ab2919807
143c46d575386
151e2db462090
hex1055042cf6a

1122333020010 has 160 divisors (see below), whose sum is σ = 3036840947712. Its totient is φ = 297406702080.

The previous prime is 1122333019957. The next prime is 1122333020093. The reversal of 1122333020010 is 100203332211.

1122333020010 is a `hidden beast` number, since 1 + 122 + 3 + 330 + 200 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170641842 + ... + 170648418.

Almost surely, 21122333020010 is an apocalyptic number.

1122333020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122333020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518420473856).

1122333020010 is an abundant number, since it is smaller than the sum of its proper divisors (1914507927702).

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

1122333020010 is a wasteful number, since it uses less digits than its factorization.

1122333020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1122333020010 its reverse (100203332211), we get a palindrome (1222536352221).

The spelling of 1122333020010 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-three million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 270 382 405 573 810 955 1103 1146 1719 1910 2206 2865 3309 3438 5157 5515 5730 6577 6618 8595 9927 10314 11030 13154 15471 16545 17190 19731 19854 25785 29781 30942 32885 33090 39462 49635 51570 59193 59562 65770 77355 89343 98655 99270 118386 148905 154710 177579 178686 197310 210673 295965 297810 355158 421346 446715 532737 591930 632019 887895 893430 1053365 1065474 1256207 1264038 1775790 1896057 2106730 2512414 2663685 3160095 3768621 3792114 5327370 5688171 6281035 6320190 7254431 7537242 9480285 11305863 11376342 12562070 14508862 17064513 18843105 18960570 21763293 22611726 28440855 33917589 34129026 36272155 37686210 43526586 56529315 56881710 65289879 67835178 72544310 85322565 101752767 108816465 113058630 130579758 169587945 170645130 195869637 203505534 217632930 326449395 339175890 391739274 508763835 587608911 652898790 979348185 1017527670 1175217822 1385596321 1958696370 2771192642 2938044555 4156788963 5876089110 6927981605 8313577926 12470366889 13855963210 20783944815 24940733778 37411100667 41567889630 62351834445 74822201334 112233302001 124703668890 187055503335 224466604002 374111006670 561166510005 1122333020010