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1300133124 = 2232416713147
BaseRepresentation
bin100110101111110…
…0111010100000100
310100121102121100200
41031133213110010
510130313224444
6333002210500
744134643403
oct11537472404
93317377320
101300133124
11607989294
123034b3a30
13179483754
14c495763a
1579219969
hex4d7e7504

1300133124 has 72 divisors (see below), whose sum is σ = 3417112608. Its totient is φ = 416465280.

The previous prime is 1300133119. The next prime is 1300133179. The reversal of 1300133124 is 4213310031.

It is a super-2 number, since 2×13001331242 = 3380692280243998752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1300133097 and 1300133106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92319 + ... + 105465.

Almost surely, 21300133124 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 1300133124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708556304).

1300133124 is an abundant number, since it is smaller than the sum of its proper divisors (2116979484).

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

1300133124 is a wasteful number, since it uses less digits than its factorization.

1300133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265 (or 13260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1300133124 is about 36057.3588051038. The cubic root of 1300133124 is about 1091.4301357860.

Adding to 1300133124 its reverse (4213310031), we get a palindrome (5513443155).

The spelling of 1300133124 in words is "one billion, three hundred million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 67 82 123 134 164 201 246 268 369 402 492 603 738 804 1206 1476 2412 2747 5494 8241 10988 13147 16482 24723 26294 32964 39441 49446 52588 78882 98892 118323 157764 236646 473292 539027 880849 1078054 1617081 1761698 2156108 2642547 3234162 3523396 4851243 5285094 6468324 7927641 9702486 10570188 15855282 19404972 31710564 36114809 72229618 108344427 144459236 216688854 325033281 433377708 650066562 1300133124