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212110021300001 = 111973139607916453
BaseRepresentation
bin110000001110100110110110…
…011110010000111100100001
31000211000112001002012021211212
4300032212312132100330201
5210300202310423100001
62031041555405515505
762451305030052566
oct6016466636207441
91024015032167755
10212110021300001
116164839a366270
121b958414b72b95
139147b736c56c6
143a5427356c86d
15197c705db37bb
hexc0e9b6790f21

212110021300001 has 64 divisors (see below), whose sum is σ = 248740251648000. Its totient is φ = 178839515450880.

The previous prime is 212110021299931. The next prime is 212110021300027. The reversal of 212110021300001 is 100003120011212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212110021300001 is a prime.

It is a super-2 number, since 2×2121100213000012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212110021300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12891866891 + ... + 12891883343.

It is an arithmetic number, because the mean of its divisors is an integer number (3886566432000).

Almost surely, 2212110021300001 is an apocalyptic number.

It is an amenable number.

212110021300001 is a deficient number, since it is larger than the sum of its proper divisors (36630230347999).

212110021300001 is a wasteful number, since it uses less digits than its factorization.

212110021300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22774.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212110021300001 its reverse (100003120011212), we get a palindrome (312113141311213).

The spelling of 212110021300001 in words is "two hundred twelve trillion, one hundred ten billion, twenty-one million, three hundred thousand, one".

Divisors: 1 11 19 73 139 209 803 1387 1529 2641 6079 10147 15257 16453 29051 66869 111617 115501 180983 192793 312607 443767 844981 1201069 1270511 2120723 2286967 3438677 4881437 8431573 9294791 13211759 16054639 22820311 25156637 43452373 61683613 92747303 100017787 166948591 176601029 251023421 477976103 678519743 1100195657 1171988647 1836434501 1900337953 3172023229 7301298451 12891875117 13902472393 20903717483 34892255519 80314282961 138724670569 152927196323 264146975467 1014880484689 1525971376259 2905616730137 11163685331579 19282729209091 212110021300001