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2123345870140 = 225113712716312601
BaseRepresentation
bin11110111001100001010…
…001101011110100111100
321111222201121212021102211
4132321201101223310330
5234242103020321030
64303241315030204
7306256330046635
oct36714121536474
97458647767384
102123345870140
1174956242a740
122a362829b364
131252cc9a1451
1474ab031288c
153a376a9712a
hex1ee6146bd3c

2123345870140 has 192 divisors, whose sum is σ = 5066492755968. Its totient is φ = 740710656000.

The previous prime is 2123345870081. The next prime is 2123345870147. The reversal of 2123345870140 is 410785433212.

It is a junction number, because it is equal to n+sod(n) for n = 2123345870093 and 2123345870102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123345870147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168499840 + ... + 168512440.

It is an arithmetic number, because the mean of its divisors is an integer number (26387983104).

Almost surely, 22123345870140 is an apocalyptic number.

2123345870140 is a gapful number since it is divisible by the number (20) 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 2123345870140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533246377984).

2123345870140 is an abundant number, since it is smaller than the sum of its proper divisors (2943146885828).

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

2123345870140 is a wasteful number, since it uses less digits than its factorization.

2123345870140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2123345870140 in words is "two trillion, one hundred twenty-three billion, three hundred forty-five million, eight hundred seventy thousand, one hundred forty".