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21133110132 = 22321933303689
BaseRepresentation
bin10011101011101000…
…011010101101110100
32000112210200020010200
4103223220122231310
5321240034011012
613413003520500
71345461320661
oct235350325564
960483606120
1021133110132
118a650a9482
124119529130
131cba37c0c4
1410469a2a68
1583a4923dc
hex4eba1ab74

21133110132 has 36 divisors (see below), whose sum is σ = 53447617860. Its totient is φ = 7040702592.

The previous prime is 21133110121. The next prime is 21133110133. The reversal of 21133110132 is 23101133112.

It can be written as a sum of positive squares in 2 ways, for example, as 15226572816 + 5906537316 = 123396^2 + 76854^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133110133) 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 11 ways as a sum of consecutive naturals, for example, 82257 + ... + 221432.

Almost surely, 221133110132 is an apocalyptic number.

It is an amenable number.

21133110132 is an abundant number, since it is smaller than the sum of its proper divisors (32314507728).

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

21133110132 is a wasteful number, since it uses less digits than its factorization.

21133110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305632 (or 305627 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21133110132 its reverse (23101133112), we get a palindrome (44234243244).

The spelling of 21133110132 in words is "twenty-one billion, one hundred thirty-three million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1933 3866 5799 7732 11598 17397 23196 34794 69588 303689 607378 911067 1214756 1822134 2733201 3644268 5466402 10932804 587030837 1174061674 1761092511 2348123348 3522185022 5283277533 7044370044 10566555066 21133110132