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11020002120 = 23325229133673
BaseRepresentation
bin10100100001101011…
…11110001101001000
31001110000002002222200
422100311332031020
5140032110031440
65021300520200
7540041321031
oct122065761510
931400062880
1011020002120
11474555a776
1221766b0060
13106810ba1a
147677d9a88
154476e0c30
hex290d7e348

11020002120 has 96 divisors (see below), whose sum is σ = 35971673400. Its totient is φ = 2925812736.

The previous prime is 11020002113. The next prime is 11020002137. The reversal of 11020002120 is 2120002011.

It can be written as a sum of positive squares in 4 ways, for example, as 9505080036 + 1514922084 = 97494^2 + 38922^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 15604 + ... + 149276.

Almost surely, 211020002120 is an apocalyptic number.

11020002120 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 11020002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985836700).

11020002120 is an abundant number, since it is smaller than the sum of its proper divisors (24951671280).

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

11020002120 is a wasteful number, since it uses less digits than its factorization.

11020002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133919 (or 133912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020002120 its reverse (2120002011), we get a palindrome (13140004131).

The spelling of 11020002120 in words is "eleven billion, twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 6870 8244 9160 10305 13740 16488 20610 27480 41220 82440 133673 267346 401019 534692 668365 802038 1069384 1203057 1336730 1604076 2005095 2406114 2673460 3208152 4010190 4812228 5346920 6015285 8020380 9624456 12030570 16040760 24061140 30611117 48122280 61222234 91833351 122444468 153055585 183666702 244888936 275500053 306111170 367333404 459166755 551000106 612222340 734666808 918333510 1102000212 1224444680 1377500265 1836667020 2204000424 2755000530 3673334040 5510001060 11020002120