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1012354343232 = 263531039191051
BaseRepresentation
bin11101011101101010000…
…01010110000101000000
310120210001201022002100220
432232311001112011000
5113041300202440412
62053022534543040
7133066040636301
oct16566501260500
93523051262326
101012354343232
113603786a8911
1214424b507a80
13746069773cb
1436dd91427a8
151b50117c68c
hexebb5056140

1012354343232 has 224 divisors, whose sum is σ = 2761177835520. Its totient is φ = 327201638400.

The previous prime is 1012354343213. The next prime is 1012354343237. The reversal of 1012354343232 is 2323434532101.

It is a super-2 number, since 2×10123543432322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012354343193 and 1012354343202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012354343237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963229107 + ... + 963230157.

Almost surely, 21012354343232 is an apocalyptic number.

1012354343232 is a gapful number since it is divisible by the number (12) 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 1012354343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380588917760).

1012354343232 is an abundant number, since it is smaller than the sum of its proper divisors (1748823492288).

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

1012354343232 is a wasteful number, since it uses less digits than its factorization.

1012354343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 1012354343232 its reverse (2323434532101), we get a palindrome (3335788875333).

The spelling of 1012354343232 in words is "one trillion, twelve billion, three hundred fifty-four million, three hundred forty-three thousand, two hundred thirty-two".