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21132313210134 = 2337247169925807
BaseRepresentation
bin1001100111000010000000…
…00001011010110100010110
32202211020012020112102112000
410303201000001122310112
510232212434140211014
6112540014535540130
74310521264346100
oct463410001326426
982736166472460
1021132313210134
116808188986075
122453700b2a646
13ba39cb772c99
14530b4907a570
15269a77591509
hex13384005ad16

21132313210134 has 96 divisors (see below), whose sum is σ = 55790041282560. Its totient is φ = 5909339829456.

The previous prime is 21132313210123. The next prime is 21132313210139. The reversal of 21132313210134 is 43101231323112.

21132313210134 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 313 + 210 + 134 = 666.

It is a super-2 number, since 2×211323132101342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21132313210098 and 21132313210107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132313210139) 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 47 ways as a sum of consecutive naturals, for example, 84838542 + ... + 85087265.

It is an arithmetic number, because the mean of its divisors is an integer number (581146263360).

Almost surely, 221132313210134 is an apocalyptic number.

21132313210134 is an abundant number, since it is smaller than the sum of its proper divisors (34657728072426).

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

21132313210134 is a wasteful number, since it uses less digits than its factorization.

21132313210134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169925879 (or 169925866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21132313210134 its reverse (43101231323112), we get a palindrome (64233544533246).

The spelling of 21132313210134 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred thirteen million, two hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 94 98 126 141 147 189 282 294 329 378 423 441 658 846 882 987 1269 1323 1974 2303 2538 2646 2961 4606 5922 6909 8883 13818 17766 20727 41454 62181 124362 169925807 339851614 509777421 1019554842 1189480649 1529332263 2378961298 3058664526 3568441947 4587996789 7136883894 7986512929 8326364543 9175993578 10705325841 15973025858 16652729086 21410651682 23959538787 24979093629 32115977523 47919077574 49958187258 55905590503 64231955046 71878616361 74937280887 111811181006 143757232722 149874561774 167716771509 215635849083 224811842661 335433543018 391339133521 431271698166 449623685322 503150314527 782678267042 1006300629054 1174017400563 1509450943581 2348034801126 3018901887162 3522052201689 7044104403378 10566156605067 21132313210134