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21301311112002 = 2321769612127817
BaseRepresentation
bin1001101011111100110010…
…00101010000001101000010
32210102101101222220100102200
410311332121011100031002
510243000041121041002
6113145404235254030
74325653226664255
oct465763105201502
983371358810380
1021301311112002
116872920887069
122480405baa316
13bb6921c06b9c
14538dbb9bb09c
1526e168e43b1c
hex135f99150342

21301311112002 has 24 divisors (see below), whose sum is σ = 48867713728236. Its totient is φ = 6682764270336.

The previous prime is 21301311111989. The next prime is 21301311112009. The reversal of 21301311112002 is 20021111310312.

21301311112002 is a `hidden beast` number, since 21 + 301 + 31 + 111 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21297938870961 + 3372241041 = 4614969^2 + 58071^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21301311112009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34806063603 + ... + 34806064214.

Almost surely, 221301311112002 is an apocalyptic number.

21301311112002 is an abundant number, since it is smaller than the sum of its proper divisors (27566402616234).

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

21301311112002 is a wasteful number, since it uses less digits than its factorization.

21301311112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69612127842 (or 69612127839 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21301311112002 its reverse (20021111310312), we get a palindrome (41322422422314).

The spelling of 21301311112002 in words is "twenty-one trillion, three hundred one billion, three hundred eleven million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 69612127817 139224255634 208836383451 417672766902 626509150353 1183406172889 1253018300706 2366812345778 3550218518667 7100437037334 10650655556001 21301311112002