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2002123413 = 3667179229
BaseRepresentation
bin111011101010101…
…1111101010010101
312011112100102000000
41313111133222111
513100020422123
6530400241513
7100420524333
oct16725375225
95145312000
102002123413
11938167a54
1247a610299
1325ba3ba14
1414dc8cb53
15bab81b43
hex7755fa95

2002123413 has 56 divisors (see below), whose sum is σ = 3077013600. Its totient is φ = 1301772384.

The previous prime is 2002123399. The next prime is 2002123511. The reversal of 2002123413 is 3143212002.

It is not a de Polignac number, because 2002123413 - 24 = 2002123397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002122413) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8742783 + ... + 8743011.

Almost surely, 22002123413 is an apocalyptic number.

It is an amenable number.

2002123413 is a deficient number, since it is larger than the sum of its proper divisors (1074890187).

2002123413 is an equidigital number, since it uses as much as digits as its factorization.

2002123413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2002123413 is about 44745.0937310450. The cubic root of 2002123413 is about 1260.3667809763.

Adding to 2002123413 its reverse (3143212002), we get a palindrome (5145335415).

It can be divided in two parts, 20021 and 23413, that added together give a palindrome (43434).

The spelling of 2002123413 in words is "two billion, two million, one hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 9 27 67 81 179 201 229 243 537 603 687 729 1611 1809 2061 4833 5427 6183 11993 14499 15343 16281 18549 35979 40991 43497 46029 48843 55647 107937 122973 130491 138087 166941 323811 368919 414261 971433 1106757 1242783 2746397 2914299 3320271 3728349 8239191 8742897 9960813 11185047 24717573 29882439 74152719 222458157 667374471 2002123413