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10114124020 = 22571113505201
BaseRepresentation
bin10010110101101100…
…10100100011110100
3222002212111201211221
421122312110203310
5131203203432040
64351340440124
7505431431020
oct113266244364
928085451757
1010114124020
114320183090
121b63249044
13c52537990
146bd38d380
153e2e0274a
hex25ad948f4

10114124020 has 96 divisors (see below), whose sum is σ = 28517642496. Its totient is φ = 2909952000.

The previous prime is 10114123979. The next prime is 10114124047. The reversal of 10114124020 is 2042141101.

It is a happy number.

10114124020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10114123985 and 10114124003.

It is a congruent number.

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, 232581 + ... + 272620.

It is an arithmetic number, because the mean of its divisors is an integer number (297058776).

Almost surely, 210114124020 is an apocalyptic number.

10114124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114124020 is an abundant number, since it is smaller than the sum of its proper divisors (18403518476).

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

10114124020 is a wasteful number, since it uses less digits than its factorization.

10114124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505241 (or 505239 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10114124020 its reverse (2042141101), we get a palindrome (12156265121).

The spelling of 10114124020 in words is "ten billion, one hundred fourteen million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 505201 1010402 2020804 2526005 3536407 5052010 5557211 6567613 7072814 10104020 11114422 13135226 14145628 17682035 22228844 26270452 27786055 32838065 35364070 38900477 45973291 55572110 65676130 70728140 72243743 77800954 91946582 111144220 131352260 144487486 155601908 183893164 194502385 229866455 288974972 361218715 389004770 459732910 505706201 722437430 778009540 919465820 1011412402 1444874860 2022824804 2528531005 5057062010 10114124020