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11345320032 = 253235138279
BaseRepresentation
bin10101001000011101…
…11101100001100000
31002021200012222021020
422210032331201200
5141213400220112
65113441325440
7551101425534
oct124416754140
932250188236
1011345320032
1148a2156952
122247636880
1310ba632627
14798abdbc4
1546605148c
hex2a43bd860

11345320032 has 48 divisors (see below), whose sum is σ = 31076317440. Its totient is φ = 3617347712.

The previous prime is 11345320003. The next prime is 11345320061. The reversal of 11345320032 is 23002354311.

It is an interprime number because it is at equal distance from previous prime (11345320003) and next prime (11345320061).

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 11345319984 and 11345320011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2566932 + ... + 2571347.

It is an arithmetic number, because the mean of its divisors is an integer number (647423280).

Almost surely, 211345320032 is an apocalyptic number.

11345320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11345320032 is an abundant number, since it is smaller than the sum of its proper divisors (19730997408).

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

11345320032 is a wasteful number, since it uses less digits than its factorization.

11345320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138315 (or 5138307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 11345320032 its reverse (23002354311), we get a palindrome (34347674343).

The spelling of 11345320032 in words is "eleven billion, three hundred forty-five million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5138279 10276558 15414837 20553116 30829674 41106232 61659348 82212464 118180417 123318696 164424928 236360834 246637392 354541251 472721668 493274784 709082502 945443336 1418165004 1890886672 2836330008 3781773344 5672660016 11345320032