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11126546130 = 235741131367
BaseRepresentation
bin10100101110011000…
…11001111011010010
31001201102120002220010
422113030121323102
5140241343434010
65040024255350
7542504040000
oct122714317322
931642502803
1011126546130
11479a710877
1221a6311556
13108420400b
14777a11a70
15451c39620
hex297319ed2

11126546130 has 160 divisors (see below), whose sum is σ = 31451151744. Its totient is φ = 2518860288.

The previous prime is 11126546111. The next prime is 11126546147. The reversal of 11126546130 is 3164562111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8138707 + ... + 8140073.

Almost surely, 211126546130 is an apocalyptic number.

11126546130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126546130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725575872).

11126546130 is an abundant number, since it is smaller than the sum of its proper divisors (20324605614).

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

11126546130 is a wasteful number, since it uses less digits than its factorization.

11126546130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11126546130 in words is "eleven billion, one hundred twenty-six million, five hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 343 490 565 678 686 735 791 1029 1130 1367 1470 1582 1695 1715 2058 2373 2401 2734 3390 3430 3955 4101 4746 4802 5145 5537 6835 7203 7910 8202 9569 10290 11074 11865 12005 13670 14406 16611 19138 20505 23730 24010 27685 28707 33222 36015 38759 41010 47845 55370 57414 66983 72030 77518 83055 95690 116277 133966 143535 154471 166110 193795 200949 232554 271313 287070 308942 334915 387590 401898 463413 468881 542626 581385 669830 772355 813939 926826 937762 1004745 1081297 1162770 1356565 1406643 1544710 1627878 2009490 2162594 2317065 2344405 2713130 2813286 3243891 3282167 4069695 4634130 4688810 5406485 6487782 6564334 7033215 7569079 8139390 9846501 10812970 14066430 15138158 16219455 16410835 19693002 22707237 32438910 32821670 37845395 45414474 49232505 52983553 75690790 98465010 105967106 113536185 158950659 227072370 264917765 317901318 370884871 529835530 741769742 794753295 1112654613 1589506590 1854424355 2225309226 3708848710 5563273065 11126546130