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13121021112123 = 379892332669767
BaseRepresentation
bin1011111011101111100111…
…0011010110111100111011
31201110100122112002000021110
42332323321303112330323
53204433322401041443
643523414111011403
72522651064155151
oct276737163267473
951410575060243
1013121021112123
1141a9659398531
12157ab37509b63
137423cb592332
143350bcc133d1
1517b4940de233
hexbeef9cd6f3b

13121021112123 has 32 divisors (see below), whose sum is σ = 17992100505600. Its totient is φ = 8502927054336.

The previous prime is 13121021112077. The next prime is 13121021112131. The reversal of 13121021112123 is 32121112012131.

It is not a de Polignac number, because 13121021112123 - 216 = 13121021046587 is a prime.

It is a super-2 number, since 2×131210211121232 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13121021112123.

It is not an unprimeable number, because it can be changed into a prime (13121021112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579786 + ... + 6249552.

It is an arithmetic number, because the mean of its divisors is an integer number (562253140800).

Almost surely, 213121021112123 is an apocalyptic number.

13121021112123 is a deficient number, since it is larger than the sum of its proper divisors (4871079393477).

13121021112123 is a wasteful number, since it uses less digits than its factorization.

13121021112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670171.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13121021112123 its reverse (32121112012131), we get a palindrome (45242133124254).

The spelling of 13121021112123 in words is "thirteen trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 79 89 233 237 267 699 7031 18407 20737 21093 55221 62211 1638223 2669767 4914669 8009301 210911593 237609263 622055711 632734779 712827789 1866167133 18771131777 49142401169 55362958279 56313395331 147427203507 166088874837 4373673704041 13121021112123