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1053261180136 = 2311176611065131
BaseRepresentation
bin11110101001110110100…
…00100010110011101000
310201200122120201201020101
433110323100202303220
5114224034330231021
62123510030235144
7136044536212414
oct17247320426350
93650576651211
101053261180136
1137675a528940
12150167055ab4
1378425878249
1438d99d29d44
151c5e7591a91
hexf53b422ce8

1053261180136 has 64 divisors (see below), whose sum is σ = 2284580324160. Its totient is φ = 449910912000.

The previous prime is 1053261180133. The next prime is 1053261180161. The reversal of 1053261180136 is 6310811623501.

1053261180136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10532611801362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053261180095 and 1053261180104.

It is not an unprimeable number, because it can be changed into a prime (1053261180133) 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, 456291 + ... + 1521421.

It is an arithmetic number, because the mean of its divisors is an integer number (35696567565).

Almost surely, 21053261180136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053261180136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142290162080).

1053261180136 is an abundant number, since it is smaller than the sum of its proper divisors (1231319144024).

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

1053261180136 is a wasteful number, since it uses less digits than its factorization.

1053261180136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065826 (or 1065822 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1053261180136 in words is "one trillion, fifty-three billion, two hundred sixty-one million, one hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 661 748 1322 1496 2644 5288 7271 11237 14542 22474 29084 44948 58168 89896 123607 247214 494428 988856 1065131 2130262 4260524 8521048 11716441 18107227 23432882 36214454 46865764 72428908 93731528 144857816 199179497 398358994 704051591 796717988 1408103182 1593435976 2816206364 5632412728 7744567501 11968877047 15489135002 23937754094 30978270004 47875508188 61956540008 95751016376 131657647517 263315295034 526630590068 1053261180136