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1006213643601 = 32383821214003
BaseRepresentation
bin11101010010001110000…
…00011011110101010001
310120012012202111020002020
432221013000123311101
5112441211143043401
62050125334242053
7132460624565025
oct16510700336521
93505182436066
101006213643601
11358807408341
12143016ab6329
1373b686b7a2a
14369b578a385
151b292000d36
hexea4701bd51

1006213643601 has 32 divisors (see below), whose sum is σ = 1418548626432. Its totient is φ = 633137757120.

The previous prime is 1006213643573. The next prime is 1006213643609. The reversal of 1006213643601 is 1063463126001.

It is not a de Polignac number, because 1006213643601 - 29 = 1006213643089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006213643609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4594866 + ... + 4808868.

It is an arithmetic number, because the mean of its divisors is an integer number (44329644576).

Almost surely, 21006213643601 is an apocalyptic number.

It is an amenable number.

1006213643601 is a deficient number, since it is larger than the sum of its proper divisors (412334982831).

1006213643601 is a wasteful number, since it uses less digits than its factorization.

1006213643601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214933.

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 1006213643601 its reverse (1063463126001), we get a palindrome (2069676769602).

The spelling of 1006213643601 in words is "one trillion, six billion, two hundred thirteen million, six hundred forty-three thousand, six hundred one".

Divisors: 1 3 23 69 83 249 821 1909 2463 5727 18883 56649 68143 204429 214003 642009 1567289 4701867 4922069 14766207 17762249 53286747 175696463 408531727 527089389 1225595181 4041018649 12123055947 14582806429 43748419287 335404547867 1006213643601