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126735015341 = 1121047396821
BaseRepresentation
bin111011000000111111…
…1101101110110101101
3110010010101021211200002
41312001333231312231
54034023130442331
6134115443114045
712104416566434
oct1660177556655
9403111254602
10126735015341
1149825680900
122068b372925
13bc4963224c
1461c3a0611b
15346b3ca9cb
hex1d81feddad

126735015341 has 6 divisors (see below), whose sum is σ = 139303777326. Its totient is φ = 115213650200.

The previous prime is 126735015299. The next prime is 126735015359. The reversal of 126735015341 is 143510537621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 125348570116 + 1386445225 = 354046^2 + 37235^2 .

It is not a de Polignac number, because 126735015341 - 210 = 126735014317 is a prime.

It is a super-2 number, since 2×1267350153412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126735015295 and 126735015304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126735015391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 523698290 + ... + 523698531.

It is an arithmetic number, because the mean of its divisors is an integer number (23217296221).

Almost surely, 2126735015341 is an apocalyptic number.

126735015341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126735015341 is a deficient number, since it is larger than the sum of its proper divisors (12568761985).

126735015341 is a wasteful number, since it uses less digits than its factorization.

126735015341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047396843 (or 1047396832 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 126735015341 in words is "one hundred twenty-six billion, seven hundred thirty-five million, fifteen thousand, three hundred forty-one".

Divisors: 1 11 121 1047396821 11521365031 126735015341