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1133221132032 = 28311134140759
BaseRepresentation
bin10000011111011001001…
…111100011011100000000
311000100001010111010120020
4100133121033203130000
5122031314102211112
62224332233413440
7144605163455613
oct20373117433400
94010033433506
101133221132032
113a7661871210
1216376156a280
1382b295ca652
143cbc363c17a
151e72729e48c
hex107d93e3700

1133221132032 has 72 divisors (see below), whose sum is σ = 3290204561280. Its totient is φ = 343400340480.

The previous prime is 1133221132003. The next prime is 1133221132049. The reversal of 1133221132032 is 2302311223311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1133221131993 and 1133221132011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67061932 + ... + 67078827.

Almost surely, 21133221132032 is an apocalyptic number.

1133221132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1133221132032 is an abundant number, since it is smaller than the sum of its proper divisors (2156983429248).

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

1133221132032 is a wasteful number, since it uses less digits than its factorization.

1133221132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134140789 (or 134140775 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1133221132032 its reverse (2302311223311), we get a palindrome (3435532355343).

The spelling of 1133221132032 in words is "one trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 134140759 268281518 402422277 536563036 804844554 1073126072 1475548349 1609689108 2146252144 2951096698 3219378216 4292504288 4426645047 5902193396 6438756432 8585008576 8853290094 11804386792 12877512864 17170017152 17706580188 23608773584 25755025728 34340034304 35413160376 47217547168 51510051456 70826320752 94435094336 103020102912 141652641504 188870188672 283305283008 377740377344 566610566016 1133221132032