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21004213304142 = 2329758441205847
BaseRepresentation
bin1001100011010011011001…
…01011000011101101001110
32202100222112201221221212100
410301221230223003231032
510223113112101213032
6112401111414215530
74265334662202315
oct461515453035516
982328481857770
1021004213304142
116768922916772
1224329106545a6
13b948c5435a43
145288760a127c
1526657b45897c
hex131a6cac3b4e

21004213304142 has 48 divisors (see below), whose sum is σ = 45979305214752. Its totient is φ = 6929072778240.

The previous prime is 21004213304111. The next prime is 21004213304153. The reversal of 21004213304142 is 24140331240012.

21004213304142 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 4 + 213 + 30 + 414 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101935063 + ... + 102140909.

It is an arithmetic number, because the mean of its divisors is an integer number (957902191974).

Almost surely, 221004213304142 is an apocalyptic number.

21004213304142 is an abundant number, since it is smaller than the sum of its proper divisors (24975091910610).

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

21004213304142 is a wasteful number, since it uses less digits than its factorization.

21004213304142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264393 (or 264390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21004213304142 its reverse (24140331240012), we get a palindrome (45144544544154).

The spelling of 21004213304142 in words is "twenty-one trillion, four billion, two hundred thirteen million, three hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 58441 116882 175323 205847 350646 411694 525969 617541 1051938 1235082 1852623 3705246 5668777 11337554 17006331 19967159 34012662 39934318 51018993 59901477 102037986 119802954 179704431 359408862 12029904527 24059809054 36089713581 72179427162 108269140743 216538281486 1166900739119 2333801478238 3500702217357 7001404434714 10502106652071 21004213304142