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1010411414124 = 223785931139981
BaseRepresentation
bin11101011010000010011…
…01101010001001101100
310120121001022100001200120
432231001031222021230
5113023310310222444
62052102051124540
7132666636212040
oct16550115521154
93517038301616
101010411414124
1135a5709a1482
121439a88a3750
1374387292a08
1436c930a2020
151b43a7deb19
hexeb4136a26c

1010411414124 has 48 divisors (see below), whose sum is σ = 2694481042176. Its totient is φ = 288683553600.

The previous prime is 1010411414057. The next prime is 1010411414161. The reversal of 1010411414124 is 4214141140101.

It is a super-2 number, since 2×10104114141242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010411414094 and 1010411414103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7148214 + ... + 7288194.

It is an arithmetic number, because the mean of its divisors is an integer number (56135021712).

Almost surely, 21010411414124 is an apocalyptic number.

1010411414124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1010411414124 is an abundant number, since it is smaller than the sum of its proper divisors (1684069628052).

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

1010411414124 is a wasteful number, since it uses less digits than its factorization.

1010411414124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225926 (or 225924 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 1010411414124 its reverse (4214141140101), we get a palindrome (5224552554225).

The spelling of 1010411414124 in words is "one trillion, ten billion, four hundred eleven million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 85931 139981 171862 257793 279962 343724 419943 515586 559924 601517 839886 979867 1031172 1203034 1679772 1804551 1959734 2406068 2939601 3609102 3919468 5879202 7218204 11758404 12028707311 24057414622 36086121933 48114829244 72172243866 84200951177 144344487732 168401902354 252602853531 336803804708 505205707062 1010411414124