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1013223131410 = 25722067802309
BaseRepresentation
bin11101011111010001100…
…11100000100100010010
310120212022021002002200211
432233220303200210102
5113100040110201120
62053245052034334
7133126420341400
oct16575063404422
93525267062624
101013223131410
11360784052276
121444524629aa
1374714963359
143707c696470
151b55259125a
hexebe8ce0912

1013223131410 has 24 divisors (see below), whose sum is σ = 2121565170060. Its totient is φ = 347390787744.

The previous prime is 1013223131399. The next prime is 1013223131419. The reversal of 1013223131410 is 141313223101.

It can be written as a sum of positive squares in 2 ways, for example, as 816382724521 + 196840406889 = 903539^2 + 443667^2 .

It is a super-2 number, since 2×10132231314102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013223131419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033900665 + ... + 1033901644.

Almost surely, 21013223131410 is an apocalyptic number.

1013223131410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013223131410 is an abundant number, since it is smaller than the sum of its proper divisors (1108342038650).

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

1013223131410 is a wasteful number, since it uses less digits than its factorization.

1013223131410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067802330 (or 2067802323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1013223131410 its reverse (141313223101), we get a palindrome (1154536354511).

The spelling of 1013223131410 in words is "one trillion, thirteen billion, two hundred twenty-three million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2067802309 4135604618 10339011545 14474616163 20678023090 28949232326 72373080815 101322313141 144746161630 202644626282 506611565705 1013223131410