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10032121113014 = 2711135011049507
BaseRepresentation
bin1001000111111100100100…
…0000111110100110110110
31022112001122202202212020202
42101333021000332212312
52303331241001104024
633200405352000502
72053540212323150
oct221771100764666
938461582685222
1010032121113014
113218664916710
121160361090132
1357a042ac1380
142697b315bad0
15125e59da4bae
hex91fc903e9b6

10032121113014 has 32 divisors (see below), whose sum is σ = 20204551616256. Its totient is φ = 3607955644320.

The previous prime is 10032121113013. The next prime is 10032121113017. The reversal of 10032121113014 is 41031112123001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032121113013) 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 15 ways as a sum of consecutive naturals, for example, 2505522752 + ... + 2505526755.

It is an arithmetic number, because the mean of its divisors is an integer number (631392238008).

Almost surely, 210032121113014 is an apocalyptic number.

10032121113014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10032121113014 is an abundant number, since it is smaller than the sum of its proper divisors (10172430503242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10032121113014 is a wasteful number, since it uses less digits than its factorization.

10032121113014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011049540.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10032121113014 its reverse (41031112123001), we get a palindrome (51063233236015).

The spelling of 10032121113014 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 5011049507 10022099014 35077346549 55121544577 65143643591 70154693098 110243089154 130287287182 385850812039 456005505137 716580079501 771701624078 912011010274 1433160159002 5016060556507 10032121113014