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10402123444123 = 238911361373361
BaseRepresentation
bin1001011101011110111011…
…0111110110111110011011
31100211102200212102202112211
42113113232313312332123
52330412022100202443
634042400342015551
72122346213254435
oct227275667667633
940742625382484
1010402123444123
113350574557414
1212000021175b7
135a5bba6a2678
1427d673321655
151308b2e8519d
hex975eedf6f9b

10402123444123 has 32 divisors (see below), whose sum is σ = 11091700552320. Its totient is φ = 9734958858240.

The previous prime is 10402123444043. The next prime is 10402123444277. The reversal of 10402123444123 is 32144432120401.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10402123444123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10402123444523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141756963 + ... + 141830323.

It is an arithmetic number, because the mean of its divisors is an integer number (346615642260).

Almost surely, 210402123444123 is an apocalyptic number.

10402123444123 is a deficient number, since it is larger than the sum of its proper divisors (689577108197).

10402123444123 is a wasteful number, since it uses less digits than its factorization.

10402123444123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74199.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 10402123444123 its reverse (32144432120401), we get a palindrome (42546555564524).

The spelling of 10402123444123 in words is "ten trillion, four hundred two billion, one hundred twenty-three million, four hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 23 89 113 613 2047 2599 10057 14099 54557 69269 73361 231311 1254811 1593187 1687303 6164941 6529129 8289793 44970293 141793643 150169967 190665239 737791577 1034316739 4002356077 5081643109 16969206271 92054189771 116877791507 452266236701 10402123444123