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1213414344153 = 3211281331131777
BaseRepresentation
bin10001101010000101001…
…000011000010111011001
311022000000221011101202200
4101222011020120113121
5124340033033003103
62325233532320413
7153444352514064
oct21520510302731
94260027141680
101213414344153
11428673844430
12177202013109
138a569780c5b
1442a2dd0d8db
152186c6d60a3
hex11a852185d9

1213414344153 has 48 divisors (see below), whose sum is σ = 1924663021632. Its totient is φ = 730566144000.

The previous prime is 1213414344143. The next prime is 1213414344157. The reversal of 1213414344153 is 3514434143121.

1213414344153 is a `hidden beast` number, since 1 + 2 + 134 + 1 + 434 + 41 + 53 = 666.

It is not a de Polignac number, because 1213414344153 - 26 = 1213414344089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1213414344157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9142201 + ... + 9273977.

It is an arithmetic number, because the mean of its divisors is an integer number (40097146284).

Almost surely, 21213414344153 is an apocalyptic number.

It is an amenable number.

1213414344153 is a deficient number, since it is larger than the sum of its proper divisors (711248677479).

1213414344153 is a wasteful number, since it uses less digits than its factorization.

1213414344153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132406 (or 132403 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 1213414344153 its reverse (3514434143121), we get a palindrome (4727848487274).

The spelling of 1213414344153 in words is "one trillion, two hundred thirteen billion, four hundred fourteen million, three hundred forty-four thousand, one hundred fifty-three".

Divisors: 1 3 9 11 33 99 281 331 843 993 2529 2979 3091 3641 9273 10923 27819 32769 93011 131777 279033 395331 837099 1023121 1185993 1449547 3069363 4348641 9208089 13045923 37029337 43618187 111088011 130854561 333264033 392563683 407322707 479800057 1221968121 1439400171 3665904363 4318200513 12256710547 36770131641 110310394923 134823816017 404471448051 1213414344153