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1011315414054 = 2311611971275107
BaseRepresentation
bin11101011011101110001…
…10001001010000100110
310120200101022101000110110
432231313012021100212
5113032133221222204
62052331503033450
7133031224120251
oct16556706112046
93520338330413
101011315414054
1135a995205a60
12143bbb59b886
137449c659c0a
1436d3b180098
151b48ed5b889
hexeb77189426

1011315414054 has 64 divisors (see below), whose sum is σ = 2254064516352. Its totient is φ = 299904931200.

The previous prime is 1011315414049. The next prime is 1011315414061. The reversal of 1011315414054 is 4504145131101.

1011315414054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155569 + ... + 1430675.

It is an arithmetic number, because the mean of its divisors is an integer number (35219758068).

Almost surely, 21011315414054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011315414054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127032258176).

1011315414054 is an abundant number, since it is smaller than the sum of its proper divisors (1242749102298).

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

1011315414054 is a wasteful number, since it uses less digits than its factorization.

1011315414054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275381.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 1011315414054 in words is "one trillion, eleven billion, three hundred fifteen million, four hundred fourteen thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 197 366 394 591 671 1182 1342 2013 2167 4026 4334 6501 12017 13002 24034 36051 72102 132187 264374 396561 793122 1275107 2550214 3825321 7650642 14026177 28052354 42078531 77781527 84157062 155563054 233344581 251196079 466689162 502392158 753588237 855596797 1507176474 1711193594 2566790391 2763156869 5133580782 5526313738 8289470607 15322960819 16578941214 30645921638 45968882457 91937764914 168552569009 337105138018 505657707027 1011315414054