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1100242052 = 2271324153107
BaseRepresentation
bin100000110010100…
…0101110010000100
32211200022002100122
41001211011302010
54223130221202
6301102001112
736156621530
oct10145056204
92750262318
101100242052
11515070158
12268576198
13146c36c00
14a61a2bc0
15668d29a2
hex41945c84

1100242052 has 144 divisors (see below), whose sum is σ = 2510186112. Its totient is φ = 412738560.

The previous prime is 1100242043. The next prime is 1100242067. The reversal of 1100242052 is 2502420011.

It is a self number, because there is not a number n which added to its sum of digits gives 1100242052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10282583 + ... + 10282689.

It is an arithmetic number, because the mean of its divisors is an integer number (17431848).

Almost surely, 21100242052 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 1100242052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255093056).

1100242052 is an abundant number, since it is smaller than the sum of its proper divisors (1409944060).

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

1100242052 is a wasteful number, since it uses less digits than its factorization.

1100242052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1100242052 is about 33169.8967740329. The cubic root of 1100242052 is about 1032.3558267113.

Adding to 1100242052 its reverse (2502420011), we get a palindrome (3602662063).

The spelling of 1100242052 in words is "one billion, one hundred million, two hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 53 82 91 106 107 164 169 182 212 214 287 338 364 371 428 533 574 676 689 742 749 1066 1148 1183 1378 1391 1484 1498 2132 2173 2366 2756 2782 2996 3731 4346 4387 4732 4823 5564 5671 6929 7462 8692 8774 8957 9646 9737 11342 13858 14924 15211 17548 17914 18083 19292 19474 22684 27716 28249 30422 30709 35828 36166 38948 39697 48503 56498 57031 60844 61418 62699 72332 73723 79394 97006 112996 114062 122836 125398 126581 147446 158788 194012 197743 228124 232511 250796 253162 294892 367237 395486 399217 465022 506324 516061 734474 741403 790972 798434 930044 958399 1032122 1468948 1482806 1596868 1627577 1916798 2064244 2570659 2965612 3022643 3255154 3833596 5141318 5189821 6045286 6510308 6708793 10282636 10379642 12090572 13417586 20759284 21158501 26835172 39294359 42317002 78588718 84634004 157177436 275060513 550121026 1100242052