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1102135424 = 27135312497
BaseRepresentation
bin100000110110001…
…0100000010000000
32211210212021120112
41001230110002000
54224121313144
6301210330452
736211665545
oct10154240200
92753767515
101102135424
11516143725
12269129a28
1314744a950
14a6536bcc
1566b5899e
hex41b14080

1102135424 has 64 divisors (see below), whose sum is σ = 2409364440. Its totient is φ = 499040256.

The previous prime is 1102135409. The next prime is 1102135429. The reversal of 1102135424 is 4245312011.

It can be written as a sum of positive squares in 4 ways, for example, as 888040000 + 214095424 = 29800^2 + 14632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1102135424.

It is not an unprimeable number, because it can be changed into a prime (1102135429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81944 + ... + 94440.

Almost surely, 21102135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204682220).

1102135424 is an abundant number, since it is smaller than the sum of its proper divisors (1307229016).

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

1102135424 is a wasteful number, since it uses less digits than its factorization.

1102135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1102135424 is about 33198.4250228832. The cubic root of 1102135424 is about 1032.9476702549.

Adding to 1102135424 its reverse (4245312011), we get a palindrome (5347447435).

The spelling of 1102135424 in words is "one billion, one hundred two million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 5512 6784 11024 12497 22048 24994 44096 49988 88192 99976 162461 199952 324922 399904 649844 662341 799808 1299688 1324682 1599616 2599376 2649364 5198752 5298728 8610433 10397504 10597456 17220866 20795008 21194912 34441732 42389824 68883464 84779648 137766928 275533856 551067712 1102135424