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2001142104 = 2331341156437
BaseRepresentation
bin111011101000111…
…0000000101011000
312011110111112220020
41313101300011120
513044243021404
6530323230440
7100406266353
oct16721600530
95143445806
102001142104
11937657755
1247a218420
1325b787170
1414dab529a
15baa3aed9
hex77470158

2001142104 has 64 divisors (see below), whose sum is σ = 5519132640. Its totient is φ = 600714240.

The previous prime is 2001142103. The next prime is 2001142133. The reversal of 2001142104 is 4012411002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001142103) 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, 65427 + ... + 91010.

Almost surely, 22001142104 is an apocalyptic number.

2001142104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001142104 is an abundant number, since it is smaller than the sum of its proper divisors (3517990536).

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

2001142104 is a wasteful number, since it uses less digits than its factorization.

2001142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156500 (or 156496 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001142104 is about 44734.1268384664. The cubic root of 2001142104 is about 1260.1608310700.

Adding to 2001142104 its reverse (4012411002), we get a palindrome (6013553106).

The spelling of 2001142104 in words is "two billion, one million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 156437 312874 469311 625748 938622 1251496 1877244 2033681 3754488 4067362 6101043 6413917 8134724 12202086 12827834 16269448 19241751 24404172 25655668 38483502 48808344 51311336 76967004 83380921 153934008 166761842 250142763 333523684 500285526 667047368 1000571052 2001142104