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10021132313111 = 2931431738831697
BaseRepresentation
bin1001000111010011101000…
…0010000010001000010111
31022111000021221101222122202
42101310322002002020113
52303141234333004421
633151351123515115
72053001000135513
oct221647202021027
938430257358582
1010021132313111
113213a35a386a7
12115a1b4b28a9b
13578cb12b88ca
1426904d965143
15125a152c910b
hex91d3a082217

10021132313111 has 64 divisors (see below), whose sum is σ = 11032224952320. Its totient is φ = 9077190635520.

The previous prime is 10021132313081. The next prime is 10021132313219. The reversal of 10021132313111 is 11131323112001.

It is not a de Polignac number, because 10021132313111 - 26 = 10021132313047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021132313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5905203815 + ... + 5905205511.

It is an arithmetic number, because the mean of its divisors is an integer number (172378514880).

Almost surely, 210021132313111 is an apocalyptic number.

10021132313111 is a deficient number, since it is larger than the sum of its proper divisors (1011092639209).

10021132313111 is a wasteful number, since it uses less digits than its factorization.

10021132313111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10021132313111 its reverse (11131323112001), we get a palindrome (21152455425112).

The spelling of 10021132313111 in words is "ten trillion, twenty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred eleven".

Divisors: 1 29 31 43 173 883 899 1247 1333 1697 5017 5363 7439 25607 27373 37969 38657 49213 52607 72971 152759 155527 215731 230609 293581 793817 1101101 1177039 1498451 1525603 2116159 2262101 4430011 4735529 6568637 6687661 8513849 9101011 12623983 34134131 43455079 46451981 64433393 65600929 137330341 190490473 203627747 259232023 263929319 366095507 391343473 1347107449 1868568397 1997435183 5905204663 7517728667 8036192713 11146976989 11348960717 57925620307 233049588677 323262332681 345556286659 10021132313111