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1003120213001 = 17193787388483
BaseRepresentation
bin11101001100011101001…
…11111011110000001001
310112220020011122200001112
432212032213323300021
5112413342233304001
62044454351300105
7132321153060644
oct16461647736011
93486204580045
101003120213001
1135746a233125
121424b2b1a635
137379484cc1a
14367a09c2a5b
151b160653cbb
hexe98e9fbc09

1003120213001 has 16 divisors (see below), whose sum is σ = 1068989868864. Its totient is φ = 938025529344.

The previous prime is 1003120212989. The next prime is 1003120213003.

1003120213001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1003120213001 - 230 = 1002046471177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003120213003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2387906 + ... + 2776388.

It is an arithmetic number, because the mean of its divisors is an integer number (66811866804).

Almost surely, 21003120213001 is an apocalyptic number.

It is an amenable number.

1003120213001 is a deficient number, since it is larger than the sum of its proper divisors (65869655863).

1003120213001 is a wasteful number, since it uses less digits than its factorization.

1003120213001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389480.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 1003120 and 213001, that added together give a palindrome (1216121).

The spelling of 1003120213001 in words is "one trillion, three billion, one hundred twenty million, two hundred thirteen thousand, one".

Divisors: 1 17 193 787 3281 13379 151891 388483 2582147 6604211 74977219 305736121 1274612723 5197514057 59007071353 1003120213001