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1102135320 = 23325111379271
BaseRepresentation
bin100000110110001…
…0100000000011000
32211210212021102200
41001230110000120
54224121312240
6301210330200
736211665336
oct10154240030
92753767380
101102135320
11516143640
12269129960
1314744a8a0
14a6536b56
1566b58930
hex41b14018

1102135320 has 384 divisors, whose sum is σ = 4277145600. Its totient is φ = 242611200.

The previous prime is 1102135301. The next prime is 1102135339. The reversal of 1102135320 is 235312011.

1102135320 is a `hidden beast` number, since 110 + 21 + 3 + 532 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1102135301) and next prime (1102135339).

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 = 1102135293 and 1102135302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4066785 + ... + 4067055.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 21102135320 is an apocalyptic number.

1102135320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

1102135320 is an abundant number, since it is smaller than the sum of its proper divisors (3175010280).

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

1102135320 is a wasteful number, since it uses less digits than its factorization.

1102135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1102135320 is about 33198.4234565438. The cubic root of 1102135320 is about 1032.9476377645.

Adding to 1102135320 its reverse (235312011), we get a palindrome (1337447331).

The spelling of 1102135320 in words is "one billion, one hundred two million, one hundred thirty-five thousand, three hundred twenty".