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20112312001221 = 32113797283200017
BaseRepresentation
bin1001001001010110000110…
…01101100110001011000101
32122012201101121022022110200
410210223003031212023011
510114010003333014341
6110435245114041113
74144031561206446
oct444530315461305
978181347268420
1020112312001221
116454646885960
122309a98719199
13b2b7767984ab
144d76265152cd
1524d279e20db6
hex124ac33662c5

20112312001221 has 96 divisors (see below), whose sum is σ = 33000588985728. Its totient is φ = 11696039608320.

The previous prime is 20112312001219. The next prime is 20112312001241. The reversal of 20112312001221 is 12210021321102.

20112312001221 is a `hidden beast` number, since 2 + 0 + 11 + 231 + 200 + 1 + 221 = 666.

It is not a de Polignac number, because 20112312001221 - 21 = 20112312001219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20112312001194 and 20112312001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112312001241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100453005 + ... + 100653021.

It is an arithmetic number, because the mean of its divisors is an integer number (343756135268).

Almost surely, 220112312001221 is an apocalyptic number.

It is an amenable number.

20112312001221 is a deficient number, since it is larger than the sum of its proper divisors (12888276984507).

20112312001221 is a wasteful number, since it uses less digits than its factorization.

20112312001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200451 (or 200448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20112312001221 its reverse (12210021321102), we get a palindrome (32322333322323).

The spelling of 20112312001221 in words is "twenty trillion, one hundred twelve billion, three hundred twelve million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 97 99 111 283 291 333 407 849 873 1067 1221 2547 3113 3201 3589 3663 9339 9603 10471 10767 27451 28017 31413 32301 39479 82353 94239 115181 118437 200017 247059 301961 345543 355311 600051 905883 1015687 1036629 1800153 2200187 2717649 3047061 6600561 7400629 9141183 11172557 19401649 19801683 22201887 33517671 56604811 58204947 66605661 81406919 100553013 169814433 174614841 213418139 244220757 509443299 622652921 640254417 717861013 732662271 1867958763 1920763251 2094378007 2153583039 5490666667 5603876289 6283134021 6460749117 7896471143 16472000001 18849402063 23038158077 23689413429 49416000003 60397333337 69114474231 71068240287 181192000011 203154666679 207343422693 543576000033 609464000037 1828392000111 2234701333469 6704104000407 20112312001221