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1331213040222 = 2313253206312007
BaseRepresentation
bin10011010111110010011…
…110101111101001011110
311201021002112012011221220
4103113302132233221132
5133302311014241342
62455314551234210
7165114462066552
oct23276236575136
94637075164856
101331213040222
114736230692aa
12195bb8678966
13986c089b300
1448606b59862
15249642b35ec
hex135f27afa5e

1331213040222 has 96 divisors (see below), whose sum is σ = 2939046571008. Its totient is φ = 401647379328.

The previous prime is 1331213040187. The next prime is 1331213040263. The reversal of 1331213040222 is 2220403121331.

It is a junction number, because it is equal to n+sod(n) for n = 1331213040192 and 1331213040201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110863743 + ... + 110875749.

It is an arithmetic number, because the mean of its divisors is an integer number (30615068448).

Almost surely, 21331213040222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331213040222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469523285504).

1331213040222 is an abundant number, since it is smaller than the sum of its proper divisors (1607833530786).

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

1331213040222 is a wasteful number, since it uses less digits than its factorization.

1331213040222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154 (or 14141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1331213040222 its reverse (2220403121331), we get a palindrome (3551616161553).

The spelling of 1331213040222 in words is "one trillion, three hundred thirty-one billion, two hundred thirteen million, forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2063 2067 4126 4134 6189 8957 12007 12378 17914 24014 26819 26871 36021 53638 53742 72042 80457 109339 156091 160914 218678 312182 328017 348647 468273 636371 656034 697294 936546 1045941 1272742 1421407 1909113 2029183 2091882 2842814 3818226 4058366 4264221 6087549 8272823 8528442 12175098 16545646 18478291 24770441 24818469 36956582 49540882 49636938 55434873 74311323 107546699 110869746 148622646 215093398 322015733 322640097 644031466 645280194 966047199 1312833373 1932094398 2625666746 3938500119 4186204529 7877000238 8372409058 12558613587 17066833849 25117227174 34133667698 51200501547 102401003094 221868840037 443737680074 665606520111 1331213040222