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1011400145332 = 2217113131624173
BaseRepresentation
bin11101011011111000010…
…01010111100110110100
310120200121012210210220221
432231330021113212310
5113032321414122312
62052344131104124
7133033303250233
oct16557411274664
93520535723827
101011400145332
1135aa29018905
12144023a42044
13744b4085975
1436d48518b1a
151b4974e7207
hexeb7c2579b4

1011400145332 has 24 divisors (see below), whose sum is σ = 1890649635336. Its totient is φ = 471741032448.

The previous prime is 1011400145251. The next prime is 1011400145333. The reversal of 1011400145332 is 2335410041101.

It can be written as a sum of positive squares in 4 ways, for example, as 171838437156 + 839561708176 = 414534^2 + 916276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011400145297 and 1011400145306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011400145333) 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 7 ways as a sum of consecutive naturals, for example, 65804403 + ... + 65819770.

It is an arithmetic number, because the mean of its divisors is an integer number (78777068139).

Almost surely, 21011400145332 is an apocalyptic number.

It is an amenable number.

1011400145332 is a deficient number, since it is larger than the sum of its proper divisors (879249490004).

1011400145332 is a wasteful number, since it uses less digits than its factorization.

1011400145332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131624307 (or 131624305 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1011400145332 its reverse (2335410041101), we get a palindrome (3346810186433).

The spelling of 1011400145332 in words is "one trillion, eleven billion, four hundred million, one hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 17 34 68 113 226 452 1921 3842 7684 131624173 263248346 526496692 2237610941 4475221882 8950443764 14873531549 29747063098 59494126196 252850036333 505700072666 1011400145332