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123402101020 = 225112373439761
BaseRepresentation
bin111001011101101010…
…1101010000100011100
3102210112002211020201221
41302323111222010130
54010211414213040
6132405023143124
711626006360162
oct1627325520434
9383462736657
10123402101020
11483752a5a60
121babb144aa4
13b837c975b3
145d890dd232
1533239c574a
hex1cbb56a11c

123402101020 has 192 divisors, whose sum is σ = 300110469120. Its totient is φ = 42182553600.

The previous prime is 123402100973. The next prime is 123402101021. The reversal of 123402101020 is 20101204321.

It is a junction number, because it is equal to n+sod(n) for n = 123402100985 and 123402101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123402101021) 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 63 ways as a sum of consecutive naturals, for example, 162157440 + ... + 162158200.

It is an arithmetic number, because the mean of its divisors is an integer number (1563075360).

Almost surely, 2123402101020 is an apocalyptic number.

123402101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123402101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150055234560).

123402101020 is an abundant number, since it is smaller than the sum of its proper divisors (176708368100).

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

123402101020 is a wasteful number, since it uses less digits than its factorization.

123402101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123402101020 its reverse (20101204321), we get a palindrome (143503305341).

It can be divided in two parts, 123402 and 101020, that added together give a palindrome (224422).

The spelling of 123402101020 in words is "one hundred twenty-three billion, four hundred two million, one hundred one thousand, twenty".