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133211315232 = 2533154179763
BaseRepresentation
bin111110000010000000…
…0110101110000100000
3110201211201120221222000
41330010000311300200
54140304044041412
6141110232444000
712424046332302
oct1740400656040
9421751527860
10133211315232
1151549350866
1221998249600
13c73c2a5768
146639b9b972
1536e9c494dc
hex1f04035c20

133211315232 has 48 divisors (see below), whose sum is σ = 388533005280. Its totient is φ = 44403771456.

The previous prime is 133211315221. The next prime is 133211315267. The reversal of 133211315232 is 232513112331.

133211315232 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 131 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 133211315196 and 133211315205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77089018 + ... + 77090745.

It is an arithmetic number, because the mean of its divisors is an integer number (8094437610).

Almost surely, 2133211315232 is an apocalyptic number.

133211315232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133211315232 is an abundant number, since it is smaller than the sum of its proper divisors (255321690048).

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

133211315232 is a wasteful number, since it uses less digits than its factorization.

133211315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154179782 (or 154179768 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 133211315232 its reverse (232513112331), we get a palindrome (365724427563).

The spelling of 133211315232 in words is "one hundred thirty-three billion, two hundred eleven million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 154179763 308359526 462539289 616719052 925078578 1233438104 1387617867 1850157156 2466876208 2775235734 3700314312 4162853601 4933752416 5550471468 7400628624 8325707202 11100942936 14801257248 16651414404 22201885872 33302828808 44403771744 66605657616 133211315232