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20010103221321 = 334176072376229
BaseRepresentation
bin1001000110010111101110…
…00110000010110001001001
32121211221120111110022211000
410203023313012002301021
510110321142411040241
6110320303045125213
74133453004003423
oct443136706026111
977757514408730
1020010103221321
116415267673824
1222b21130b9809
13b21c384a1cc5
144d26cbdad813
1524a796d32eb6
hex1232f7182c49

20010103221321 has 32 divisors (see below), whose sum is σ = 30371641171200. Its totient is φ = 13012984920960.

The previous prime is 20010103221313. The next prime is 20010103221343. The reversal of 20010103221321 is 12312230101002.

20010103221321 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 10 + 322 + 1 + 321 = 666.

It is not a de Polignac number, because 20010103221321 - 23 = 20010103221313 is a prime.

It is a super-2 number, since 2×200101032213212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20010103221294 and 20010103221303.

It is not an unprimeable number, because it can be changed into a prime (20010103221391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7232835 + ... + 9609063.

It is an arithmetic number, because the mean of its divisors is an integer number (949113786600).

Almost surely, 220010103221321 is an apocalyptic number.

It is an amenable number.

20010103221321 is a deficient number, since it is larger than the sum of its proper divisors (10361537949879).

20010103221321 is a wasteful number, since it uses less digits than its factorization.

20010103221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383886 (or 2383880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20010103221321 its reverse (12312230101002), we get a palindrome (32322333322323).

The spelling of 20010103221321 in words is "twenty trillion, ten billion, one hundred three million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 41 123 369 1107 7607 22821 68463 205389 311887 935661 2376229 2806983 7128687 8420949 21386061 64158183 97425389 292276167 876828501 2630485503 18075974003 54227922009 162683766027 488051298081 741114934123 2223344802369 6670034407107 20010103221321