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123430322034 = 232162117332441
BaseRepresentation
bin111001011110100000…
…1010011111101110010
3102210121001221000200200
41302331001103331302
54010241130301114
6132411512100030
711626501266165
oct1627501237562
9383531830620
10123430322034
114838a220908
121bb08694616
13b840a98916
145d8cb67adc
1533261ec409
hex1cbd053f72

123430322034 has 48 divisors (see below), whose sum is σ = 267861446424. Its totient is φ = 41077497600.

The previous prime is 123430322033. The next prime is 123430322107. The reversal of 123430322034 is 430223034321.

123430322034 is a `hidden beast` number, since 1 + 2 + 3 + 430 + 3 + 220 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93637836009 + 29792486025 = 306003^2 + 172605^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123430321989 and 123430322007.

It is not an unprimeable number, because it can be changed into a prime (123430322033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50564254 + ... + 50566694.

Almost surely, 2123430322034 is an apocalyptic number.

123430322034 is an abundant number, since it is smaller than the sum of its proper divisors (144431124390).

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

123430322034 is a wasteful number, since it uses less digits than its factorization.

123430322034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 123430322034 its reverse (430223034321), we get a palindrome (553653356355).

The spelling of 123430322034 in words is "one hundred twenty-three billion, four hundred thirty million, three hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 1621 1733 2441 3242 3466 4863 4882 5199 7323 9726 10398 14589 14646 15597 21969 29178 31194 43938 2809193 3956861 4230253 5618386 7913722 8427579 8460506 11870583 12690759 16855158 23741166 25282737 25381518 35611749 38072277 50565474 71223498 76144554 6857240113 13714480226 20571720339 41143440678 61715161017 123430322034