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11131312032 = 253319678077
BaseRepresentation
bin10100101110111101…
…00101011110100000
31001201202112020111000
422113132211132200
5140244103441112
65040314352000
7542562406521
oct122736453640
931652466430
1011131312032
1147a2376535
1221a7a2b600
1310851b2389
147784d2848
1545237b7dc
hex2977a57a0

11131312032 has 96 divisors (see below), whose sum is σ = 34175131200. Its totient is φ = 3515145984.

The previous prime is 11131312009. The next prime is 11131312039. The reversal of 11131312032 is 23021313111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×111313120322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11131311996 and 11131312014.

It is not an unprimeable number, because it can be changed into a prime (11131312039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322623 + ... + 355454.

It is an arithmetic number, because the mean of its divisors is an integer number (355990950).

Almost surely, 211131312032 is an apocalyptic number.

11131312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11131312032 is an abundant number, since it is smaller than the sum of its proper divisors (23043819168).

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

11131312032 is a wasteful number, since it uses less digits than its factorization.

11131312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678115 (or 678101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131312032 its reverse (23021313111), we get a palindrome (34152625143).

The spelling of 11131312032 in words is "eleven billion, one hundred thirty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 678077 1356154 2034231 2712308 4068462 5424616 6102693 8136924 10849232 12205386 12883463 16273848 18308079 21698464 24410772 25766926 32547696 36616158 38650389 48821544 51533852 65095392 73232316 77300778 97643088 103067704 115951167 146464632 154601556 195286176 206135408 231902334 292929264 309203112 347853501 412270816 463804668 585858528 618406224 695707002 927609336 1236812448 1391414004 1855218672 2782828008 3710437344 5565656016 11131312032