Search a number
-
+
1121110121010 = 2351129472492519
BaseRepresentation
bin10000010100000111010…
…111101101101000110010
310222011210002111000201110
4100110013113231220302
5121332013142333020
62215010400414150
7143666103536565
oct20240727555062
93864702430643
101121110121010
113a25074883a0
12161341617356
1381949468539
143c394da44dc
151e268e018e0
hex105075eda32

1121110121010 has 128 divisors (see below), whose sum is σ = 3101093683200. Its totient is φ = 256829054720.

The previous prime is 1121110120967. The next prime is 1121110121011. The reversal of 1121110121010 is 101210111211.

It is not an unprimeable number, because it can be changed into a prime (1121110121011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 796470 + ... + 1696049.

It is an arithmetic number, because the mean of its divisors is an integer number (24227294400).

Almost surely, 21121110121010 is an apocalyptic number.

1121110121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1121110121010 is an abundant number, since it is smaller than the sum of its proper divisors (1979983562190).

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

1121110121010 is a wasteful number, since it uses less digits than its factorization.

1121110121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492616.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121110121010 its reverse (101210111211), we get a palindrome (1222320232221).

The spelling of 1121110121010 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 47 55 58 66 87 94 110 141 145 165 174 235 282 290 319 330 435 470 517 638 705 870 957 1034 1363 1410 1551 1595 1914 2585 2726 3102 3190 4089 4785 5170 6815 7755 8178 9570 13630 14993 15510 20445 29986 40890 44979 74965 89958 149930 224895 449790 2492519 4985038 7477557 12462595 14955114 24925190 27417709 37387785 54835418 72283051 74775570 82253127 117148393 137088545 144566102 164506254 216849153 234296786 274177090 351445179 361415255 411265635 433698306 585741965 702890358 722830510 795113561 822531270 1084245765 1171483930 1288632323 1590227122 1757225895 2168491530 2385340683 2577264646 3397303397 3514451790 3865896969 3975567805 4770681366 6443161615 6794606794 7731793938 7951135610 10191910191 11926703415 12886323230 16986516985 19329484845 20383820382 23853406830 33973033970 37370337367 38658969690 50959550955 74740674734 101919101910 112111012101 186851686835 224222024202 373703373670 560555060505 1121110121010