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13833187014253 is a prime number
BaseRepresentation
bin1100100101001100101000…
…1100101011011001101101
31210222102212120212021022011
43021103022030223121231
53303120331333424003
645230513421521221
72625262161356125
oct311231214533155
953872776767264
1013833187014253
1144536924914a2
121674b6a413211
1379460536cb19
1435b75bb9dc85
1518ec7628846d
hexc94ca32b66d

13833187014253 has 2 divisors, whose sum is σ = 13833187014254. Its totient is φ = 13833187014252.

The previous prime is 13833187014223. The next prime is 13833187014277. The reversal of 13833187014253 is 35241078133831.

13833187014253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12626381503044 + 1206805511209 = 3553362^2 + 1098547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13833187014253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13833187014197 and 13833187014206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13833187014223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6916593507126 + 6916593507127.

It is an arithmetic number, because the mean of its divisors is an integer number (6916593507127).

Almost surely, 213833187014253 is an apocalyptic number.

It is an amenable number.

13833187014253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13833187014253 is an equidigital number, since it uses as much as digits as its factorization.

13833187014253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 13833187014253 in words is "thirteen trillion, eight hundred thirty-three billion, one hundred eighty-seven million, fourteen thousand, two hundred fifty-three".