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12042321101013 = 371993209897983
BaseRepresentation
bin1010111100111101001001…
…0001011000000011010101
31120122020100001200210022010
42233033102101120003111
53034300133200213023
641340055502054433
72352012641310450
oct257172221300325
946566301623263
1012042321101013
113923135356445
121425a70b7a419
136947805c48a8
142d8bcc54c497
1515d3ad596093
hexaf3d24580d5

12042321101013 has 32 divisors (see below), whose sum is σ = 18448183296000. Its totient is φ = 6844605584256.

The previous prime is 12042321100991. The next prime is 12042321101021. The reversal of 12042321101013 is 31010112324021.

It is not a de Polignac number, because 12042321101013 - 28 = 12042321100757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042321101053) 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, 12961420 + ... + 13859402.

It is an arithmetic number, because the mean of its divisors is an integer number (576505728000).

Almost surely, 212042321101013 is an apocalyptic number.

It is an amenable number.

12042321101013 is a deficient number, since it is larger than the sum of its proper divisors (6405862194987).

12042321101013 is a wasteful number, since it uses less digits than its factorization.

12042321101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901401.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12042321101013 its reverse (31010112324021), we get a palindrome (43052433425034).

The spelling of 12042321101013 in words is "twelve trillion, forty-two billion, three hundred twenty-one million, one hundred one thousand, thirteen".

Divisors: 1 3 7 21 199 597 1393 3209 4179 9627 22463 67389 638591 897983 1915773 2693949 4470137 6285881 13410411 18857643 178698617 536095851 1250890319 2881627447 3752670957 8644882341 20171392129 60514176387 573443861953 1720331585859 4014107033671 12042321101013