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11212389132 = 22372293121211
BaseRepresentation
bin10100111000100111…
…10111101100001100
31001221102002101100120
422130103313230030
5140430332423012
65052332224540
7544565510100
oct123423675414
931842071316
1011212389132
1148341129aa
12220b00b150
131098c2baa9
14785199900
1545954458c
hex29c4f7b0c

11212389132 has 144 divisors (see below), whose sum is σ = 32500177920. Its totient is φ = 2993155200.

The previous prime is 11212389121. The next prime is 11212389169. The reversal of 11212389132 is 23198321211.

It is a junction number, because it is equal to n+sod(n) for n = 11212389093 and 11212389102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518007 + ... + 539217.

It is an arithmetic number, because the mean of its divisors is an integer number (225695680).

Almost surely, 211212389132 is an apocalyptic number.

11212389132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212389132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250088960).

11212389132 is an abundant number, since it is smaller than the sum of its proper divisors (21287788788).

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

11212389132 is a wasteful number, since it uses less digits than its factorization.

11212389132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21292 (or 21283 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The spelling of 11212389132 in words is "eleven billion, two hundred twelve million, three hundred eighty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 49 58 62 84 87 93 98 116 124 147 174 186 196 203 217 294 348 372 406 434 588 609 651 812 868 899 1218 1302 1421 1519 1798 2436 2604 2697 2842 3038 3596 4263 4557 5394 5684 6076 6293 8526 9114 10788 12586 17052 18228 18879 21211 25172 37758 42422 44051 63633 75516 84844 88102 127266 132153 148477 176204 254532 264306 296954 445431 528612 593908 615119 657541 890862 1039339 1230238 1315082 1781724 1845357 1972623 2078678 2460476 2630164 3118017 3690714 3945246 4157356 4305833 4602787 6236034 7381428 7890492 8611666 9205574 12472068 12917499 13808361 17223332 18411148 19068689 25834998 27616722 30140831 32219509 38137378 51669996 55233444 57206067 60281662 64439018 76274756 90422493 96658527 114412134 120563324 128878036 133480823 180844986 193317054 228824268 266961646 361689972 386634108 400442469 533923292 800884938 934365761 1601769876 1868731522 2803097283 3737463044 5606194566 11212389132