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11130212000 = 25535352501
BaseRepresentation
bin10100101110110100…
…11000111010100000
31001201200110100112002
422113122120322200
5140243313241000
65040235023132
7542550145445
oct122732307240
931650410462
1011130212000
1147a1795016
1221a759aaa8
131084bb877b
147782c79cc
154522108d5
hex297698ea0

11130212000 has 96 divisors (see below), whose sum is σ = 27863441424. Its totient is φ = 4368000000.

The previous prime is 11130211997. The next prime is 11130212039. The reversal of 11130212000 is 21203111.

It can be written as a sum of positive squares in 8 ways, for example, as 381499024 + 10748712976 = 19532^2 + 103676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185750 + ... + 238250.

Almost surely, 211130212000 is an apocalyptic number.

11130212000 is a gapful number since it is divisible by the number (10) 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 11130212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931720712).

11130212000 is an abundant number, since it is smaller than the sum of its proper divisors (16733229424).

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

11130212000 is an equidigital number, since it uses as much as digits as its factorization.

11130212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52579 (or 52561 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11130212000 its reverse (21203111), we get a palindrome (11151415111).

The spelling of 11130212000 in words is "eleven billion, one hundred thirty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 800 848 1000 1060 1325 1696 2000 2120 2650 4000 4240 5300 6625 8480 10600 13250 21200 26500 42400 52501 53000 105002 106000 210004 212000 262505 420008 525010 840016 1050020 1312525 1680032 2100040 2625050 2782553 4200080 5250100 5565106 6562625 8400160 10500200 11130212 13125250 13912765 21000400 22260424 26250500 27825530 42000800 44520848 52501000 55651060 69563825 89041696 105002000 111302120 139127650 210004000 222604240 278255300 347819125 445208480 556510600 695638250 1113021200 1391276500 2226042400 2782553000 5565106000 11130212000