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1052442134205 = 35711911205311
BaseRepresentation
bin11110101000010100111…
…00001000011010111101
310201121112111112212102220
433110022130020122331
5114220400141243310
62123252451235553
7136015332352410
oct17241234103275
93647474485386
101052442134205
1137637a169580
1214bb788a8bb9
1378324c87297
1438d1d243b77
151c59a706670
hexf50a7086bd

1052442134205 has 32 divisors (see below), whose sum is σ = 2099417038848. Its totient is φ = 437378548800.

The previous prime is 1052442134189. The next prime is 1052442134243. The reversal of 1052442134205 is 5024312442501.

1052442134205 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1052442134205 - 24 = 1052442134189 is a prime.

It is a super-3 number, since 3×10524421342053 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 455601501 + ... + 455603810.

It is an arithmetic number, because the mean of its divisors is an integer number (65606782464).

Almost surely, 21052442134205 is an apocalyptic number.

1052442134205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1052442134205 is a deficient number, since it is larger than the sum of its proper divisors (1046974904643).

1052442134205 is a wasteful number, since it uses less digits than its factorization.

1052442134205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911205337.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 1052442134205 its reverse (5024312442501), we get a palindrome (6076754576706).

The spelling of 1052442134205 in words is "one trillion, fifty-two billion, four hundred forty-two million, one hundred thirty-four thousand, two hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 911205311 2733615933 4556026555 6378437177 10023258421 13668079665 19135311531 30069775263 31892185885 50116292105 70162808947 95676557655 150348876315 210488426841 350814044735 1052442134205