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11121232210 = 2511217531012
BaseRepresentation
bin10100101101110000…
…01000100101010010
31001201001120010120021
422112320020211102
5140234013412320
65035314334054
7542410625344
oct122670104522
931631503507
1011121232210
114797711400
1221a458a32a
13108309339a
1477702b294
15451539daa
hex296e08952

11121232210 has 144 divisors (see below), whose sum is σ = 23974751304. Its totient is φ = 3697408000.

The previous prime is 11121232169. The next prime is 11121232223. The reversal of 11121232210 is 1223212111.

11121232210 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9427827409 + 1693404801 = 97097^2 + 41151^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110111160 + ... + 110111260.

Almost surely, 211121232210 is an apocalyptic number.

11121232210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121232210 is an abundant number, since it is smaller than the sum of its proper divisors (12853519094).

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

11121232210 is a wasteful number, since it uses less digits than its factorization.

11121232210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11121232210 its reverse (1223212111), we get a palindrome (12344444321).

The spelling of 11121232210 in words is "eleven billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 34 53 55 85 101 106 110 121 170 187 202 242 265 374 505 530 583 605 901 935 1010 1111 1166 1210 1717 1802 1870 2057 2222 2915 3434 4114 4505 5353 5555 5830 6413 8585 9010 9911 10201 10285 10706 11110 12221 12826 17170 18887 19822 20402 20570 24442 26765 32065 37774 49555 51005 53530 58883 61105 64130 91001 94435 99110 102010 109021 112211 117766 122210 173417 182002 188870 207757 218042 224422 294415 346834 415514 455005 540653 545105 561055 588830 647713 867085 910010 1001011 1038785 1081306 1090210 1122110 1234321 1295426 1734170 1907587 2002022 2077570 2468642 2703265 3238565 3815174 5005055 5406530 5947183 6171605 6477130 9191101 9537935 10010110 11011121 11894366 12343210 18382202 19075870 20983457 22022242 29735915 41966914 45955505 55055605 59471830 65419013 91911010 101102111 104917285 110111210 130838026 202204222 209834570 327095065 505510555 654190130 1011021110 1112123221 2224246442 5560616105 11121232210