Search a number
-
+
1121011032120 = 233571518837993
BaseRepresentation
bin10000010100000001011…
…101101110000000111000
310222011112012000210022120
4100110001131232000320
5121331312311011440
62214552500521240
7143663461360650
oct20240135560070
93864465023276
101121011032120
113a2466559451
121613143b0220
1381931a83665
143c385b6d360
151e26037bdd0
hex1050176e038

1121011032120 has 128 divisors (see below), whose sum is σ = 3868920253440. Its totient is φ = 254534169600.

The previous prime is 1121011032077. The next prime is 1121011032121. The reversal of 1121011032120 is 212301101211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121011032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121011032121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4292157 + ... + 4545836.

It is an arithmetic number, because the mean of its divisors is an integer number (30225939480).

Almost surely, 21121011032120 is an apocalyptic number.

1121011032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121011032120 is an abundant number, since it is smaller than the sum of its proper divisors (2747909221320).

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

1121011032120 is a wasteful number, since it uses less digits than its factorization.

1121011032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838165 (or 8838161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1121011032120 its reverse (212301101211), we get a palindrome (1333312133331).

The spelling of 1121011032120 in words is "one trillion, one hundred twenty-one billion, eleven million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 151 168 210 280 302 420 453 604 755 840 906 1057 1208 1510 1812 2114 2265 3020 3171 3624 4228 4530 5285 6040 6342 8456 9060 10570 12684 15855 18120 21140 25368 31710 42280 63420 126840 8837993 17675986 26513979 35351972 44189965 53027958 61865951 70703944 88379930 106055916 123731902 132569895 176759860 185597853 212111832 247463804 265139790 309329755 353519720 371195706 494927608 530279580 618659510 742391412 927989265 1060559160 1237319020 1334536943 1484782824 1855978530 2474638040 2669073886 3711957060 4003610829 5338147772 6672684715 7423914120 8007221658 9341758601 10676295544 13345369430 16014443316 18683517202 20018054145 26690738860 28025275803 32028886632 37367034404 40036108290 46708793005 53381477720 56050551606 74734068808 80072216580 93417586010 112101103212 140126379015 160144433160 186835172020 224202206424 280252758030 373670344040 560505516060 1121011032120