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1321043110101 = 3211134146753609
BaseRepresentation
bin10011001110010100010…
…011100010100011010101
311200021211202200012112100
4103032110103202203111
5133120444014010401
62450513454312313
7164304452106531
oct23162423424325
94607752605470
101321043110101
1146a28443a280
1219403a7b8699
139775c924590
1447d20200bc1
152456b53ab86
hex133944e28d5

1321043110101 has 96 divisors (see below), whose sum is σ = 2301407821440. Its totient is φ = 719462246400.

The previous prime is 1321043110087. The next prime is 1321043110133. The reversal of 1321043110101 is 1010113401231.

It is a happy number.

1321043110101 is a `hidden beast` number, since 1 + 3 + 210 + 431 + 10 + 10 + 1 = 666.

It is not a de Polignac number, because 1321043110101 - 27 = 1321043109973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321043112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24615385 + ... + 24668993.

It is an arithmetic number, because the mean of its divisors is an integer number (23972998140).

Almost surely, 21321043110101 is an apocalyptic number.

1321043110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1321043110101 is a deficient number, since it is larger than the sum of its proper divisors (980364711339).

1321043110101 is a wasteful number, since it uses less digits than its factorization.

1321043110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54147 (or 54144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1321043110101 its reverse (1010113401231), we get a palindrome (2331156511332).

The spelling of 1321043110101 in words is "one trillion, three hundred twenty-one billion, forty-three million, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 41 99 117 123 143 369 429 451 467 533 1287 1353 1401 1599 4059 4203 4797 5137 5863 6071 15411 17589 18213 19147 46233 52767 53609 54639 57441 66781 160827 172323 200343 210617 248911 482481 589699 601029 631851 696917 746733 1769097 1895553 2090751 2197969 2240199 2738021 5307291 6272253 6593907 7666087 8214063 19781721 22998261 24177659 24642189 25035403 28573597 68994783 72532977 75106209 85720791 217598931 225318627 257162373 275389433 314309567 325460239 826168299 942928701 976380717 1026451523 2478504897 2828786103 2929142151 3079354569 3580062629 9238063707 10740187887 11290966753 13343869799 32220563661 33872900259 40031609397 101618700777 120094828191 146782567789 440347703367 1321043110101