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1010413332243 = 33737313461627
BaseRepresentation
bin11101011010000010101…
…00111110011100010011
310120121001102221111212000
432231001110332130103
5113023311303112433
62052102200205043
7132666661421160
oct16550124763423
93517042844760
101010413332243
1135a571a915a7
121439a9469783
13743877b4ab3
1436c93441067
151b43aa6d113
hexeb4153e713

1010413332243 has 64 divisors (see below), whose sum is σ = 1762606494720. Its totient is φ = 559978189056.

The previous prime is 1010413332151. The next prime is 1010413332263. The reversal of 1010413332243 is 3422333140101.

It is a happy number.

1010413332243 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 413 + 3 + 3 + 2 + 243 = 666.

It is not a de Polignac number, because 1010413332243 - 29 = 1010413331731 is a prime.

It is a super-2 number, since 2×10104133322432 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1010413332263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1957996 + ... + 2419622.

It is an arithmetic number, because the mean of its divisors is an integer number (27540726480).

Almost surely, 21010413332243 is an apocalyptic number.

1010413332243 is a deficient number, since it is larger than the sum of its proper divisors (752193162477).

1010413332243 is a wasteful number, since it uses less digits than its factorization.

1010413332243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461993 (or 461987 counting only the distinct ones).

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

Adding to 1010413332243 its reverse (3422333140101), we get a palindrome (4432746472344).

The spelling of 1010413332243 in words is "one trillion, ten billion, four hundred thirteen million, three hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 313 333 777 939 999 2191 2331 2817 6573 6993 8451 11581 19719 34743 59157 81067 104229 243201 312687 461627 729603 1384881 2188809 3231389 4154643 9694167 12463929 17080199 29082501 51240597 87247503 119561393 144489251 153721791 358684179 433467753 461165373 1011424757 1076052537 1300403259 3034274271 3228157611 3901209777 5346102287 9102822813 16038306861 27308468439 37422716009 48114920583 112268148027 144344761749 336804444081 1010413332243