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10132214211 = 33767779187
BaseRepresentation
bin10010110111110110…
…10101000111000011
3222011010112210221000
421123323111013003
5131222321323321
64353224303043
7506041254060
oct113373250703
928133483830
1010132214211
11432a409559
121b69311a83
13c561cca32
146c193bc67
153e47c7826
hex25bed51c3

10132214211 has 32 divisors (see below), whose sum is σ = 17180628480. Its totient is φ = 5781211488.

The previous prime is 10132214207. The next prime is 10132214231. The reversal of 10132214211 is 11241223101.

10132214211 is a `hidden beast` number, since 10 + 13 + 221 + 421 + 1 = 666.

10132214211 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132214211 - 22 = 10132214207 is a prime.

It is a super-3 number, since 3×101322142113 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132214231) 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 31 ways as a sum of consecutive naturals, for example, 88360 + ... + 167546.

It is an arithmetic number, because the mean of its divisors is an integer number (536894640).

Almost surely, 210132214211 is an apocalyptic number.

10132214211 is a deficient number, since it is larger than the sum of its proper divisors (7048414269).

10132214211 is an equidigital number, since it uses as much as digits as its factorization.

10132214211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79880 (or 79874 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10132214211 its reverse (11241223101), we get a palindrome (21373437312).

The spelling of 10132214211 in words is "ten billion, one hundred thirty-two million, two hundred fourteen thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 677 2031 4739 6093 14217 18279 42651 79187 127953 237561 554309 712683 1662927 2138049 4988781 14966343 53609599 160828797 375267193 482486391 1125801579 1447459173 3377404737 10132214211