Search a number
-
+
12031013010123 = 3331161911512011
BaseRepresentation
bin1010111100010011000001…
…0000011011101011001011
31120121011010222112020211000
42233010300100123223023
53034104003312310443
641330545430310043
72351132501156442
oct257046020335313
946534128466730
1012031013010123
113919362218388
121423835ab8323
1369369a8c8853
142d843879dd59
1515ce4a94a8d3
hexaf13041bacb

12031013010123 has 64 divisors (see below), whose sum is σ = 17934394982400. Its totient is φ = 7971069060000.

The previous prime is 12031013010113. The next prime is 12031013010131. The reversal of 12031013010123 is 32101031013021.

12031013010123 is a `hidden beast` number, since 120 + 310 + 130 + 101 + 2 + 3 = 666.

It is not a de Polignac number, because 12031013010123 - 26 = 12031013010059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12031013010096 and 12031013010105.

It is not an unprimeable number, because it can be changed into a prime (12031013010113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5982601188 + ... + 5982603198.

It is an arithmetic number, because the mean of its divisors is an integer number (280224921600).

Almost surely, 212031013010123 is an apocalyptic number.

12031013010123 is a deficient number, since it is larger than the sum of its proper divisors (5903381972277).

12031013010123 is a wasteful number, since it uses less digits than its factorization.

12031013010123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12031013010123 its reverse (32101031013021), we get a palindrome (44132044023144).

The spelling of 12031013010123 in words is "twelve trillion, thirty-one billion, thirteen million, ten thousand, one hundred twenty-three".

Divisors: 1 3 9 27 311 619 933 1151 1857 2011 2799 3453 5571 6033 8397 10359 16713 18099 31077 54297 192509 357961 577527 625421 712469 1073883 1244809 1732581 1876263 2137407 2314661 3221649 3734427 5197743 5628789 6412221 6943983 9664947 11203281 16886367 19236663 20831949 33609843 62495847 221577859 387135599 664733577 719859571 1161406797 1432775159 1994200731 2159578713 3484220391 4298325477 5982602193 6478736139 10452661173 12894976431 19436208417 38684929293 445593074449 1336779223347 4010337670041 12031013010123