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1020104120 = 23575037243
BaseRepresentation
bin111100110011011…
…000110110111000
32122002111122210002
4330303120312320
54042121312440
6245120212132
734164512330
oct7463306670
92562448702
101020104120
11483905362
1224576a048
13133458b09
14996a20c0
155e853115
hex3ccd8db8

1020104120 has 64 divisors (see below), whose sum is σ = 2628702720. Its totient is φ = 349006464.

The previous prime is 1020104101. The next prime is 1020104123. The reversal of 1020104120 is 214010201.

It is a super-2 number, since 2×10201041202 = 2081224831281948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020104123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 137219 + ... + 144461.

It is an arithmetic number, because the mean of its divisors is an integer number (41073480).

Almost surely, 21020104120 is an apocalyptic number.

1020104120 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 1020104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314351360).

1020104120 is an abundant number, since it is smaller than the sum of its proper divisors (1608598600).

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

1020104120 is a wasteful number, since it uses less digits than its factorization.

1020104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1020104120 is about 31939.0688655759. The cubic root of 1020104120 is about 1006.6569598838.

Adding to 1020104120 its reverse (214010201), we get a palindrome (1234114321).

The spelling of 1020104120 in words is "one billion, twenty million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 503 1006 2012 2515 3521 4024 5030 7042 7243 10060 14084 14486 17605 20120 28168 28972 35210 36215 50701 57944 70420 72430 101402 140840 144860 202804 253505 289720 405608 507010 1014020 2028040 3643229 7286458 14572916 18216145 25502603 29145832 36432290 51005206 72864580 102010412 127513015 145729160 204020824 255026030 510052060 1020104120