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10114202124 = 22321321611543
BaseRepresentation
bin10010110101101101…
…00111101000001100
3222002212122200222200
421122312213220030
5131203213431444
64351342241500
7505432204515
oct113266475014
928085580880
1010114202124
114320226834
121b63286290
13c525643b0
146bd3ada0c
153e2e1a969
hex25ada7a0c

10114202124 has 36 divisors (see below), whose sum is σ = 27533107056. Its totient is φ = 3112062048.

The previous prime is 10114202101. The next prime is 10114202143. The reversal of 10114202124 is 42120241101.

10114202124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101142021242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10114202097 and 10114202106.

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 11 ways as a sum of consecutive naturals, for example, 10805304 + ... + 10806239.

Almost surely, 210114202124 is an apocalyptic number.

It is an amenable number.

10114202124 is an abundant number, since it is smaller than the sum of its proper divisors (17418904932).

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

10114202124 is a wasteful number, since it uses less digits than its factorization.

10114202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21611566 (or 21611561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10114202124 its reverse (42120241101), we get a palindrome (52234443225).

The spelling of 10114202124 in words is "ten billion, one hundred fourteen million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21611543 43223086 64834629 86446172 129669258 194503887 259338516 280950059 389007774 561900118 778015548 842850177 1123800236 1685700354 2528550531 3371400708 5057101062 10114202124