Search a number
-
+
1000122355155 = 357117385713841
BaseRepresentation
bin11101000110110111111…
…00000000110111010011
310112121111020122201012110
432203123330000313103
5112341222310331110
62043241101000403
7132153651516420
oct16433374006723
93477436581173
101000122355155
11356170aa6160
121419b6b53103
1373407738741
14365987b6d47
151b037384a20
hexe8dbf00dd3

1000122355155 has 128 divisors (see below), whose sum is σ = 2024884832256. Its totient is φ = 409433702400.

The previous prime is 1000122355097. The next prime is 1000122355213. The reversal of 1000122355155 is 5515532210001.

It is an interprime number because it is at equal distance from previous prime (1000122355097) and next prime (1000122355213).

It is not a de Polignac number, because 1000122355155 - 221 = 1000120258003 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72251035 + ... + 72264875.

It is an arithmetic number, because the mean of its divisors is an integer number (15819412752).

Almost surely, 21000122355155 is an apocalyptic number.

1000122355155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1000122355155 is an abundant number, since it is smaller than the sum of its proper divisors (1024762477101).

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

1000122355155 is a wasteful number, since it uses less digits than its factorization.

1000122355155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14797.

The product of its (nonzero) digits is 7500, while the sum is 30.

Adding to 1000122355155 its reverse (5515532210001), we get a palindrome (6515654565156).

The spelling of 1000122355155 in words is "one trillion, one hundred twenty-two million, three hundred fifty-five thousand, one hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 73 77 105 165 219 231 365 385 511 803 857 1095 1155 1533 2409 2555 2571 4015 4285 5621 5999 7665 9427 12045 12855 13841 16863 17997 28105 28281 29995 41523 47135 62561 65989 69205 84315 89985 96887 141405 152251 187683 197967 207615 290661 312805 329945 437927 456753 484435 688171 761255 938415 989835 1010393 1065757 1313781 1453305 2064513 2189635 2283765 3031179 3197271 3440855 4817197 5051965 5328785 6568905 7072751 10322565 11114323 11861737 14451591 15155895 15986355 21218253 24085985 33342969 35363755 35585211 55571615 59308685 72257955 77800261 83032159 106091265 130479107 166714845 177926055 233400783 249096477 389001305 391437321 415160795 652395535 865906801 913353749 1167003915 1245482385 1957186605 2597720403 2740061247 4329534005 4566768745 6061347607 9524974811 12988602015 13700306235 18184042821 28574924433 30306738035 47624874055 66674823677 90920214105 142874622165 200024471031 333374118385 1000122355155