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1102123134 = 232729893389
BaseRepresentation
bin100000110110001…
…0001000001111110
32211210211122201100
41001230101001332
54224120420014
6301210153530
736211614660
oct10154210176
92753748640
101102123134
11516135472
122691228a6
13147445188
14a6532530
1566b55009
hex41b1107e

1102123134 has 96 divisors (see below), whose sum is σ = 2855736000. Its totient is φ = 300529152.

The previous prime is 1102123123. The next prime is 1102123147. The reversal of 1102123134 is 4313212011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 323512 + ... + 326900.

It is an arithmetic number, because the mean of its divisors is an integer number (29747250).

Almost surely, 21102123134 is an apocalyptic number.

1102123134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102123134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427868000).

1102123134 is an abundant number, since it is smaller than the sum of its proper divisors (1753612866).

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

1102123134 is a wasteful number, since it uses less digits than its factorization.

1102123134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1102123134 is about 33198.2399232248. The cubic root of 1102123134 is about 1032.9438307467.

Adding to 1102123134 its reverse (4313212011), we get a palindrome (5415335145).

The spelling of 1102123134 in words is "one billion, one hundred two million, one hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 89 126 174 178 203 261 267 406 522 534 609 623 801 1218 1246 1602 1827 1869 2581 3389 3654 3738 5162 5607 6778 7743 10167 11214 15486 18067 20334 23229 23723 30501 36134 46458 47446 54201 61002 71169 98281 108402 142338 162603 196562 213507 294843 301621 325206 427014 589686 603242 687967 884529 904863 1375934 1769058 1809726 2063901 2111347 2714589 4127802 4222694 5429178 6191703 6334041 8747009 12383406 12668082 17494018 19002123 26241027 38004246 52482054 61229063 78723081 122458126 157446162 183687189 367374378 551061567 1102123134