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11135235132 = 2233714729147
BaseRepresentation
bin10100101111011011…
…00011010000111100
31001202000220112222000
422113231203100330
5140301110011012
65040534422300
7542640636240
oct122755432074
931660815860
1011135235132
1147a4605a6a
1221a9201990
131085c56c38
14778c34420
154528a3ddc
hex297b6343c

11135235132 has 48 divisors (see below), whose sum is σ = 32993291520. Its totient is φ = 3181495536.

The previous prime is 11135235107. The next prime is 11135235169. The reversal of 11135235132 is 23153253111.

11135235132 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 523 + 5 + 132 = 666.

It is a super-2 number, since 2×111352351322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11135235096 and 11135235105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7363818 + ... + 7365329.

It is an arithmetic number, because the mean of its divisors is an integer number (687360240).

Almost surely, 211135235132 is an apocalyptic number.

11135235132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11135235132 is an abundant number, since it is smaller than the sum of its proper divisors (21858056388).

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

11135235132 is a wasteful number, since it uses less digits than its factorization.

11135235132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729167 (or 14729159 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

Adding to 11135235132 its reverse (23153253111), we get a palindrome (34288488243).

The spelling of 11135235132 in words is "eleven billion, one hundred thirty-five million, two hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 14729147 29458294 44187441 58916588 88374882 103104029 132562323 176749764 206208058 265124646 309312087 397686969 412416116 530249292 618624174 795373938 927936261 1237248348 1590747876 1855872522 2783808783 3711745044 5567617566 11135235132