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1053242356335 = 351371103738581
BaseRepresentation
bin11110101001110100010…
…00101111001001101111
310201200121021022100211120
433110322020233021233
5114224020020400320
62123504114552023
7136044220212501
oct17247210571157
93650537270746
101053242356335
1137674a941284
12150160898613
13784219b72c0
1438d97629d71
151c5e5ac4440
hexf53a22f26f

1053242356335 has 64 divisors (see below), whose sum is σ = 1858248677376. Its totient is φ = 506252275200.

The previous prime is 1053242356333. The next prime is 1053242356349. The reversal of 1053242356335 is 5336532423501.

It is not a de Polignac number, because 1053242356335 - 21 = 1053242356333 is a prime.

It is a super-2 number, since 2×10532423563352 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053242356333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056745 + ... + 1795325.

It is an arithmetic number, because the mean of its divisors is an integer number (29035135584).

Almost surely, 21053242356335 is an apocalyptic number.

1053242356335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1053242356335 is a deficient number, since it is larger than the sum of its proper divisors (805006321041).

1053242356335 is a wasteful number, since it uses less digits than its factorization.

1053242356335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738776.

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 1053242356335 its reverse (5336532423501), we get a palindrome (6389774779836).

The spelling of 1053242356335 in words is "one trillion, fifty-three billion, two hundred forty-two million, three hundred fifty-six thousand, three hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 71 103 195 213 309 355 515 923 1065 1339 1545 2769 4017 4615 6695 7313 13845 20085 21939 36565 95069 109695 285207 475345 738581 1426035 2215743 3692905 9601553 11078715 28804659 48007765 52439251 76073843 144023295 157317753 228221529 262196255 380369215 681710263 786588765 988959959 1141107645 2045130789 2966879877 3408551315 4944799795 5401242853 10225653945 14834399385 16203728559 27006214265 70216157089 81018642795 210648471267 351080785445 1053242356335