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135420031431123 = 39725715641115769
BaseRepresentation
bin11110110010100111101110…
…110111100111000111010011
3122202111000202211100220211020
4132302213232313213013103
5120222210211021243443
61200003034213450523
740344526422550515
oct3662475667470723
9582430684326736
10135420031431123
113a17034939383a
1213231386640a43
135a740920188ba
142562516251bb5
15109c8bc08c583
hex7b29eede71d3

135420031431123 has 32 divisors (see below), whose sum is σ = 183144587250240. Its totient is φ = 88995177431040.

The previous prime is 135420031431109. The next prime is 135420031431169. The reversal of 135420031431123 is 321134130024531.

It is not a de Polignac number, because 135420031431123 - 213 = 135420031422931 is a prime.

It is a super-2 number, since 2×1354200314311232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135420031431193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169685583 + ... + 1169801351.

It is an arithmetic number, because the mean of its divisors is an integer number (5723268351570).

Almost surely, 2135420031431123 is an apocalyptic number.

135420031431123 is a deficient number, since it is larger than the sum of its proper divisors (47724555819117).

135420031431123 is a wasteful number, since it uses less digits than its factorization.

135420031431123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131767.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 135420031431123 its reverse (321134130024531), we get a palindrome (456554161455654).

The spelling of 135420031431123 in words is "one hundred thirty-five trillion, four hundred twenty billion, thirty-one million, four hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 97 257 291 771 15641 24929 46923 74787 115769 347307 1517177 4019737 4551531 11229593 12059211 29752633 33688779 89257899 389914489 1169743467 1810742929 2886005401 5432228787 8658016203 175642064113 465360932753 526926192339 1396082798259 45140010477041 135420031431123