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11000010120 = 23351171117371
BaseRepresentation
bin10100011111010011…
…01101010110001000
31001101121110102010020
422033221231112020
5140012000310440
65015304220440
7536406354231
oct121751552610
931347412106
1011000010120
114735245460
12216ba6a720
131063c2c138
14764cb4088
15445a923d0
hex28fa6d588

11000010120 has 128 divisors (see below), whose sum is σ = 36507386880. Its totient is φ = 2629088000.

The previous prime is 11000010113. The next prime is 11000010137. The reversal of 11000010120 is 2101000011.

11000010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11000010099 and 11000010108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35035 + ... + 152405.

It is an arithmetic number, because the mean of its divisors is an integer number (285213960).

Almost surely, 211000010120 is an apocalyptic number.

11000010120 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 11000010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253693440).

11000010120 is an abundant number, since it is smaller than the sum of its proper divisors (25507376760).

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

11000010120 is a wasteful number, since it uses less digits than its factorization.

11000010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117467 (or 117463 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11000010120 its reverse (2101000011), we get a palindrome (13101010131).

The spelling of 11000010120 in words is "eleven billion, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2840 3124 3905 4260 4686 6248 7810 8520 9372 11715 15620 18744 23430 31240 46860 93720 117371 234742 352113 469484 586855 704226 938968 1173710 1291081 1408452 1760565 2347420 2582162 2816904 3521130 3873243 4694840 5164324 6455405 7042260 7746486 8333341 10328648 12910810 14084520 15492972 16666682 19366215 25000023 25821620 30985944 33333364 38732430 41666705 50000046 51643240 66666728 77464860 83333410 91666751 100000092 125000115 154929720 166666820 183333502 200000184 250000230 275000253 333333640 366667004 458333755 500000460 550000506 733334008 916667510 1000000920 1100001012 1375001265 1833335020 2200002024 2750002530 3666670040 5500005060 11000010120