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10123141032 = 2332184776123
BaseRepresentation
bin10010110110110001…
…01101111110101000
3222010111110211212100
421123120231332220
5131213011003112
64352302013400
7505601164464
oct113330557650
928114424770
1010123141032
114325281764
121b66277260
13c54373ca4
146c06594a4
153e3ad42dc
hex25b62dfa8

10123141032 has 48 divisors (see below), whose sum is σ = 27432044640. Its totient is φ = 3372509088.

The previous prime is 10123141031. The next prime is 10123141073. The reversal of 10123141032 is 23014132101.

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 = 10123140996 and 10123141014.

It is not an unprimeable number, because it can be changed into a prime (10123141031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94923 + ... + 171045.

It is an arithmetic number, because the mean of its divisors is an integer number (571500930).

Almost surely, 210123141032 is an apocalyptic number.

10123141032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123141032 is an abundant number, since it is smaller than the sum of its proper divisors (17308903608).

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

10123141032 is a wasteful number, since it uses less digits than its factorization.

10123141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77982 (or 77975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123141032 its reverse (23014132101), we get a palindrome (33137273133).

The spelling of 10123141032 in words is "ten billion, one hundred twenty-three million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1847 3694 5541 7388 11082 14776 16623 22164 33246 44328 66492 76123 132984 152246 228369 304492 456738 608984 685107 913476 1370214 1826952 2740428 5480856 140599181 281198362 421797543 562396724 843595086 1124793448 1265392629 1687190172 2530785258 3374380344 5061570516 10123141032