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1100210120130 = 2351127712919323
BaseRepresentation
bin10000000000101001101…
…000100010010111000010
310220011211112102222100210
4100000221220202113002
5121011212242321010
62201232441054550
7142326142501452
oct20005150422702
93804745388323
101100210120130
11394661a263a0
1215928a187456
137c998496a04
143b371361d62
151d944158b20
hex10029a225c2

1100210120130 has 128 divisors (see below), whose sum is σ = 2893498868736. Its totient is φ = 265520390400.

The previous prime is 1100210120101. The next prime is 1100210120153. The reversal of 1100210120130 is 310210120011.

It is a super-3 number, since 3×11002101201303 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118005649 + ... + 118014971.

It is an arithmetic number, because the mean of its divisors is an integer number (22605459912).

Almost surely, 21100210120130 is an apocalyptic number.

1100210120130 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 1100210120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446749434368).

1100210120130 is an abundant number, since it is smaller than the sum of its proper divisors (1793288748606).

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

1100210120130 is a wasteful number, since it uses less digits than its factorization.

1100210120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912.

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

Adding to 1100210120130 its reverse (310210120011), we get a palindrome (1410420240141).

The spelling of 1100210120130 in words is "one trillion, one hundred billion, two hundred ten million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 277 330 554 831 1291 1385 1662 2582 2770 3047 3873 4155 6094 6455 7746 8310 9141 9323 12910 14201 15235 18282 18646 19365 27969 28402 30470 38730 42603 45705 46615 55938 71005 85206 91410 93230 102553 139845 142010 205106 213015 279690 307659 357607 426030 512765 615318 715214 1025530 1072821 1538295 1788035 2145642 2582471 3076590 3576070 3933677 5164942 5364105 7747413 7867354 10728210 11801031 12035993 12912355 15494826 19668385 23602062 24071986 25824710 28407181 36107979 38737065 39336770 56814362 59005155 60179965 72215958 77474130 85221543 118010310 120359930 132395923 142035905 170443086 180539895 264791846 284071810 361079790 397187769 426107715 661979615 794375538 852215430 1323959230 1985938845 3333970061 3971877690 6667940122 10001910183 16669850305 20003820366 33339700610 36673670671 50009550915 73347341342 100019101830 110021012013 183368353355 220042024026 366736706710 550105060065 1100210120130