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1353656114131 = 1729137163122957
BaseRepresentation
bin10011101100101100001…
…100010001101111010011
311210102000121210110120111
4103230230030101233103
5134134241431123011
62513505552222151
7166540601060116
oct23545414215723
94712017713514
101353656114131
1148209a64a972
1219a42083a957
139a8594635b9
14497356b457d
1525329763121
hex13b2c311bd3

1353656114131 has 32 divisors (see below), whose sum is σ = 1502704146240. Its totient is φ = 1213617033216.

The previous prime is 1353656114123. The next prime is 1353656114201. The reversal of 1353656114131 is 1314116563531.

It is not a de Polignac number, because 1353656114131 - 23 = 1353656114123 is a prime.

It is a super-2 number, since 2×13536561141312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353656115131) 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, 10947705 + ... + 11070661.

It is an arithmetic number, because the mean of its divisors is an integer number (46959504570).

Almost surely, 21353656114131 is an apocalyptic number.

1353656114131 is a deficient number, since it is larger than the sum of its proper divisors (149048032109).

1353656114131 is a wasteful number, since it uses less digits than its factorization.

1353656114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123303.

The product of its digits is 97200, while the sum is 40.

The spelling of 1353656114131 in words is "one trillion, three hundred fifty-three billion, six hundred fifty-six million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 17 29 137 163 493 2329 2771 3973 4727 22331 67541 80359 122957 379627 647599 2090269 3565753 11009183 16845109 20041991 60617801 286366853 340713847 488508161 581217739 2745752767 8304638737 9880701563 46677797039 79626830243 1353656114131