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1053332104 = 2311417232
BaseRepresentation
bin111110110010001…
…001001010001000
32201102000211000011
4332302021022020
54124123111404
6252304321304
735050114036
oct7662111210
92642024004
101053332104
114a0640000
12254913234
1313a2c1146
149dc71556
1562718604
hex3ec89288

1053332104 has 120 divisors (see below), whose sum is σ = 2404637550. Its totient is φ = 431031040.

The previous prime is 1053332101. The next prime is 1053332143. The reversal of 1053332104 is 4012333501.

It can be written as a sum of positive squares in only one way, i.e., 774508900 + 278823204 = 27830^2 + 16698^2 .

It is a super-2 number, since 2×10533321042 = 2219017042634133632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053332101) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 45797037 + ... + 45797059.

Almost surely, 21053332104 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 1053332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202318775).

1053332104 is an abundant number, since it is smaller than the sum of its proper divisors (1351305446).

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

1053332104 is an equidigital number, since it uses as much as digits as its factorization.

1053332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1053332104 is about 32455.0782467089. The cubic root of 1053332104 is about 1017.4703765420.

Adding to 1053332104 its reverse (4012333501), we get a palindrome (5065665605).

The spelling of 1053332104 in words is "one billion, fifty-three million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 121 136 184 187 242 253 374 391 484 506 529 748 782 968 1012 1058 1331 1496 1564 2024 2057 2116 2662 2783 3128 4114 4232 4301 5324 5566 5819 8228 8602 8993 10648 11132 11638 14641 16456 17204 17986 22264 22627 23276 29282 30613 34408 35972 45254 46552 47311 58564 61226 64009 71944 90508 94622 98923 117128 122452 128018 181016 189244 197846 244904 248897 256036 336743 378488 395692 497794 512072 520421 673486 704099 791384 995588 1040842 1088153 1346972 1408198 1991176 2081684 2176306 2693944 2816396 4163368 4352612 5632792 5724631 7745089 8705224 11449262 11969683 15490178 22898524 23939366 30980356 45797048 47878732 61960712 95757464 131666513 263333026 526666052 1053332104