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1145101524 = 223743794013
BaseRepresentation
bin100010001000000…
…1101110011010100
32221210201011222120
41010100031303110
54321121222044
6305343255540
740243126260
oct10420156324
92853634876
101145101524
1153841a7a6
1227b5aa5b0
13153312588
14ac11d0a0
156a7e4519
hex4440dcd4

1145101524 has 96 divisors (see below), whose sum is σ = 3164958720. Its totient is φ = 315439488.

The previous prime is 1145101513. The next prime is 1145101537. The reversal of 1145101524 is 4251015411.

It is a super-2 number, since 2×11451015242 = 2622515000534245152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145101494 and 1145101503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283342 + ... + 287354.

It is an arithmetic number, because the mean of its divisors is an integer number (32968320).

Almost surely, 21145101524 is an apocalyptic number.

1145101524 is a gapful number since it is divisible by the number (14) 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 1145101524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582479360).

1145101524 is an abundant number, since it is smaller than the sum of its proper divisors (2019857196).

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

1145101524 is a wasteful number, since it uses less digits than its factorization.

1145101524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1145101524 is about 33839.3487525987. The cubic root of 1145101524 is about 1046.1998760118.

Adding to 1145101524 its reverse (4251015411), we get a palindrome (5396116935).

The spelling of 1145101524 in words is "one billion, one hundred forty-five million, one hundred one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 79 84 86 129 158 172 237 258 301 316 474 516 553 602 903 948 1106 1204 1659 1806 2212 3318 3397 3612 4013 6636 6794 8026 10191 12039 13588 16052 20382 23779 24078 28091 40764 47558 48156 56182 71337 84273 95116 112364 142674 168546 172559 285348 317027 337092 345118 517677 634054 690236 951081 1035354 1207913 1268108 1902162 2070708 2219189 2415826 3623739 3804324 4438378 4831652 6657567 7247478 8876756 13315134 13632161 14494956 26630268 27264322 40896483 54528644 81792966 95425127 163585932 190850254 286275381 381700508 572550762 1145101524