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11132310332100 = 2235223270146883
BaseRepresentation
bin1010000111111111000101…
…1001110010001011000100
31110102020102211212221202210
42201333301121302023010
52424342432421111400
635402040205103420
72226166012353636
oct241776131621304
943366384787683
1011132310332100
113602205a66811
1212b9624257b70
13629a06b4a7a9
142a6b417dca56
1514489c280950
hexa1ff16722c4

11132310332100 has 108 divisors (see below), whose sum is σ = 33670784907536. Its totient is φ = 2839545783360.

The previous prime is 11132310332093. The next prime is 11132310332119. The reversal of 11132310332100 is 123301323111.

It is a happy number.

11132310332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34914742 + ... + 35232141.

Almost surely, 211132310332100 is an apocalyptic number.

11132310332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132310332100 is an abundant number, since it is smaller than the sum of its proper divisors (22538474575436).

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

11132310332100 is a wasteful number, since it uses less digits than its factorization.

11132310332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70146946 (or 70146916 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11132310332100 its reverse (123301323111), we get a palindrome (11255611655211).

The spelling of 11132310332100 in words is "eleven trillion, one hundred thirty-two billion, three hundred ten million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 529 575 690 1058 1150 1380 1587 1725 2116 2300 2645 3174 3450 5290 6348 6900 7935 10580 13225 15870 26450 31740 39675 52900 79350 158700 70146883 140293766 210440649 280587532 350734415 420881298 701468830 841762596 1052203245 1402937660 1613378309 1753672075 2104406490 3226756618 3507344150 4208812980 4840134927 5261016225 6453513236 7014688300 8066891545 9680269854 10522032450 16133783090 19360539708 21044064900 24200674635 32267566180 37107701107 40334457725 48401349270 74215402214 80668915450 96802698540 111323103321 121003373175 148430804428 161337830900 185538505535 222646206642 242006746350 371077011070 445292413284 484013492700 556615516605 742154022140 927692527675 1113231033210 1855385055350 2226462066420 2783077583025 3710770110700 5566155166050 11132310332100