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10343142323010 = 23257791329715629
BaseRepresentation
bin1001011010000011001101…
…0100101111001101000010
31100121210110101001100212200
42112200303110233031002
52323430223413314020
633555323551534030
72115160465100220
oct226406324571502
940553411040780
1010343142323010
113328558218122
1211b06a152a316
135a047b0626c3
1427a879cd1b10
1512e0aede2590
hex9683352f342

10343142323010 has 192 divisors, whose sum is σ = 31127277542400. Its totient is φ = 2333896022016.

The previous prime is 10343142322991. The next prime is 10343142323023. The reversal of 10343142323010 is 1032324134301.

It is a happy number.

10343142323010 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 1 + 423 + 230 + 1 + 0 = 666.

It is a super-2 number, since 2×103431423230102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661783876 + ... + 661799504.

It is an arithmetic number, because the mean of its divisors is an integer number (162121237200).

Almost surely, 210343142323010 is an apocalyptic number.

10343142323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343142323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563638771200).

10343142323010 is an abundant number, since it is smaller than the sum of its proper divisors (20784135219390).

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

10343142323010 is a wasteful number, since it uses less digits than its factorization.

10343142323010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29025 (or 29022 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10343142323010 its reverse (1032324134301), we get a palindrome (11375466457311).

The spelling of 10343142323010 in words is "ten trillion, three hundred forty-three billion, one hundred forty-two million, three hundred twenty-three thousand, ten".