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1213350528 = 27313892731
BaseRepresentation
bin100100001010010…
…0100001010000000
310010120010121000110
41020110210022000
54441104204103
6320222151320
742032211045
oct11024441200
93116117013
101213350528
115729a5235
1229a422540
131644ba0c0
14b72071cc
15717c6403
hex48524280

1213350528 has 128 divisors (see below), whose sum is σ = 3511166400. Its totient is φ = 369008640.

The previous prime is 1213350521. The next prime is 1213350539. The reversal of 1213350528 is 8250533121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1213350495 and 1213350504.

It is not an unprimeable number, because it can be changed into a prime (1213350521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442923 + ... + 445653.

Almost surely, 21213350528 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 1213350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755583200).

1213350528 is an abundant number, since it is smaller than the sum of its proper divisors (2297815872).

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

1213350528 is a wasteful number, since it uses less digits than its factorization.

1213350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1213350528 is about 34833.1814223163. The cubic root of 1213350528 is about 1066.5848923422.

Adding to 1213350528 its reverse (8250533121), we get a palindrome (9463883649).

The spelling of 1213350528 in words is "one billion, two hundred thirteen million, three hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 267 312 356 384 416 534 624 712 832 1068 1157 1248 1424 1664 2136 2314 2496 2731 2848 3471 4272 4628 4992 5462 5696 6942 8193 8544 9256 10924 11392 13884 16386 17088 18512 21848 27768 32772 34176 35503 37024 43696 55536 65544 71006 74048 87392 106509 111072 131088 142012 148096 174784 213018 222144 243059 262176 284024 349568 426036 444288 486118 524352 568048 729177 852072 972236 1048704 1136096 1458354 1704144 1944472 2272192 2916708 3159767 3408288 3888944 4544384 5833416 6319534 6816576 7777888 9479301 11666832 12639068 13633152 15555776 18958602 23333664 25278136 31111552 37917204 46667328 50556272 75834408 93334656 101112544 151668816 202225088 303337632 404450176 606675264 1213350528