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1300416140031 = 33744572628553
BaseRepresentation
bin10010111011000110110…
…101111001001011111111
311121022121020101120000220
4102323012311321023333
5132301223012440111
62433223010552423
7162644344544541
oct22730665711377
94538536346026
101300416140031
1146155a011378
12190042898713
139582339a248
1446d24951691
1523c60725e06
hex12ec6d792ff

1300416140031 has 16 divisors (see below), whose sum is σ = 1781150247264. Its totient is φ = 843323595264.

The previous prime is 1300416140021. The next prime is 1300416140063.

1300416140031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1300416140031 - 25 = 1300416139999 is a prime.

It is a super-2 number, since 2×13004161400312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300416139983 and 1300416140010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300416140021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819550 + ... + 1809003.

It is an arithmetic number, because the mean of its divisors is an integer number (111321890454).

Almost surely, 21300416140031 is an apocalyptic number.

1300416140031 is a deficient number, since it is larger than the sum of its proper divisors (480734107233).

1300416140031 is a wasteful number, since it uses less digits than its factorization.

1300416140031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633050.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 1300416140031 in words is "one trillion, three hundred billion, four hundred sixteen million, one hundred forty thousand, thirty-one".

Divisors: 1 3 37 111 4457 13371 164909 494727 2628553 7885659 97256461 291769383 11715460721 35146382163 433472046677 1300416140031